1 2 3 4 5@phdthesis{ Abb89, 6 author = {Abbott, J. A.}, 7 title = {On the Factorization of Polynomials over Algebraic 8 Fields}, 9 month = {September}, 10 school = {School of Mathematical Sciences, University of Bath}, 11 year = {1989}, 12 printedkey = {Abb89} 13} 14@article{ AL94, 15 author = {Alvis, D. and Lusztig, G.}, 16 title = {Correction to the paper: {T}he representations and 17 generic degrees of the {H}ecke algebra of type {$H_4$} 18 [{J}. {R}eine {A}ngew. {M}ath. {\bf 336} (1982), 19 201{\textendash}212; {MR}0671329 (84a:20013)]}, 20 journal = {J. Reine Angew. Math.}, 21 volume = {449}, 22 year = {1994}, 23 pages = {217{\textendash}218}, 24 crossref = {AL82}, 25 note = {Correction: ibid. \bf 449, 217{\textendash}218 (1994)}, 26 coden = {JRMAA8}, 27 fjournal = {Journal f{\"u}r die Reine und Angewandte Mathematik}, 28 issn = {0075-4102}, 29 mrclass = {20C15}, 30 mrnumber = {1268587 (95a:20005)}, 31 mrreviewer = {Bhama Srinivasan}, 32 printedkey = {AL94} 33} 34@article{ AL82, 35 author = {Alvis, D. and Lusztig, G.}, 36 title = {The representations and generic degrees of the {H}ecke 37 algebra of type {$H_4$}}, 38 journal = {J. Reine Angew. Math.}, 39 volume = {336}, 40 year = {1982}, 41 pages = {201{\textendash}212}, 42 crossref = {AL94}, 43 note = {Correction: ibid. \bf 449, 217{\textendash}218 (1994)}, 44 coden = {JRMAA8}, 45 fjournal = {Journal f{\"u}r die Reine und Angewandte Mathematik}, 46 issn = {0075-4102}, 47 mrclass = {20C15}, 48 mrnumber = {671329 (84a:20013)}, 49 mrreviewer = {Bhama Srinivasan}, 50 printedkey = {AL82} 51} 52@article{ Alv87, 53 author = {Alvis, D.}, 54 title = {The left cells of the {C}oxeter group of type {$H_4$}}, 55 journal = {J. Algebra}, 56 volume = {107}, 57 number = {1}, 58 year = {1987}, 59 pages = {160{\textendash}168}, 60 coden = {JALGA4}, 61 fjournal = {Journal of Algebra}, 62 issn = {0021-8693}, 63 mrclass = {20C15 (20C30 20H15)}, 64 mrnumber = {883878 (88d:20014)}, 65 mrreviewer = {Bhama Srinivasan}, 66 printedkey = {Alv87} 67} 68@incollection{ AMW82, 69 author = {Arrell, D. G. and Manrai, S. and Worboys, M. F.}, 70 editor = {Campbell, C. M. and Robertson, E. F.}, 71 booktitle = {Groups{\textendash}St Andrews 1981 (St Andrews, 1981)}, 72 title = {A procedure for obtaining simplified defining 73 relations for a subgroup}, 74 publisher = {Cambridge Univ. Press}, 75 series = {London Math. Soc. Lecture Note Ser.}, 76 volume = {71}, 77 address = {Cambridge}, 78 year = {1982}, 79 pages = {155{\textendash}159}, 80 crossref = {GrpsStAndrews81}, 81 isbn = {0-521-28974-2}, 82 mrclass = {20F05 (20-04)}, 83 mrnumber = {679157 (84a:20041)}, 84 keywords = {finitely presented groups; subgroup presentation, 85 simplification; modified Todd Coxeter (mtc), tree 86 decoding; algorithm description}, 87 printedkey = {AMW82} 88} 89@incollection{ AR84, 90 author = {Arrell, D. G. and Robertson, E. F.}, 91 editor = {Atkinson, M. D.}, 92 booktitle = {Computational group theory (Durham, 1982)}, 93 title = {A modified {T}odd-{C}oxeter algorithm}, 94 publisher = {Academic Press}, 95 address = {London}, 96 year = {1984}, 97 pages = {27{\textendash}32}, 98 crossref = {Durham1982}, 99 isbn = {0-12-066270-1}, 100 mrclass = {20F05 (20-04)}, 101 mrnumber = {760644 (86g:20042)}, 102 mrreviewer = {I. D. Macdonald}, 103 keywords = {finitely presented groups; subgroup presentation, 104 simplification; modified Todd Coxeter (mtc), tree 105 decoding; algorithm description}, 106 printedkey = {AR84} 107} 108@book{ Art68, 109 author = {Artin, E.}, 110 title = {Galoissche {T}heorie}, 111 publisher = {Verlag Harri Deutsch}, 112 address = {Zurich}, 113 year = {1973}, 114 pages = {86}, 115 note = {{\"U}bersetzung nach der zweiten englischen Auflage 116 besorgt von Viktor Ziegler, Mit einem Anhang von N. A. 117 Milgram, Zweite, unver{\"a}nderte Auflage, 118 Deutsch-Taschenb{\"u}cher, No. 21}, 119 mrclass = {12-02}, 120 mrnumber = {0392905 (52 \#13718)}, 121 printedkey = {Art73} 122} 123@phdthesis{ Bau91, 124 author = {Baum, U.}, 125 title = {Existenz und effiziente {K}onstruktion schneller 126 {F}ouriertransformationen {\"u}beraufl{\"o}sbarer 127 {G}ruppen}, 128 school = {Rheinische Friedrich Wilhelm Universit{\"a}t Bonn}, 129 address = {Bonn, Germany}, 130 year = {1991}, 131 printedkey = {Bau91}, 132 type = {Dissertation} 133} 134@article{ BC94, 135 author = {Baum, U. and Clausen, M.}, 136 title = {Computing irreducible representations of supersolvable 137 groups}, 138 journal = {Math. Comp.}, 139 volume = {63}, 140 number = {207}, 141 year = {1994}, 142 pages = {351{\textendash}359}, 143 coden = {MCMPAF}, 144 fjournal = {Mathematics of Computation}, 145 issn = {0025-5718}, 146 mrclass = {20C40 (20C15 68Q40)}, 147 mrnumber = {1226811 (94i:20029)}, 148 mrreviewer = {Wolfgang Lempken}, 149 printedkey = {BC94} 150} 151@inproceedings{ BCFS91, 152 author = {Babai, L. and Cooperman, G. and Finkelstein, L. and 153 Seress, {\a'A}.}, 154 booktitle = {Proceedings of the International Symposium on Symbolic 155 and Algebraic Computation (ISSAC'91), Bonn 1991}, 156 title = {Nearly Linear Time Algorithms for Permutation Groups 157 with a Small Base}, 158 publisher = {ACM Press}, 159 year = {1991}, 160 pages = {200{\textendash}209}, 161 crossref = {ISSAC91}, 162 printedkey = {BCFS91} 163} 164@article{ BC76, 165 author = {Beetham, M. J. and Campbell, C. M.}, 166 title = {A note on the {T}odd-{C}oxeter coset enumeration 167 algorithm}, 168 journal = {Proc. Edinburgh Math. Soc. (2)}, 169 volume = {20}, 170 number = {1}, 171 year = {1976}, 172 pages = {73{\textendash}79}, 173 fjournal = {Proceedings of the Edinburgh Mathematical Society. 174 Series II}, 175 issn = {0013-0915}, 176 mrclass = {20F05}, 177 mrnumber = {0399265 (53 \#3116)}, 178 mrreviewer = {D. L. Johnson}, 179 keywords = {finitely presented groups; subgroup presentation; 180 modified Todd Coxeter (mtc); algorithm description}, 181 printedkey = {BC76} 182} 183@article{ Ben76, 184 author = {Benard, M.}, 185 title = {Schur indices and splitting fields of the unitary 186 reflection groups}, 187 journal = {J. Algebra}, 188 volume = {38}, 189 number = {2}, 190 year = {1976}, 191 pages = {318{\textendash}342}, 192 fjournal = {Journal of Algebra}, 193 issn = {0021-8693}, 194 mrclass = {20C30}, 195 mrnumber = {0401901 (53 \#5727)}, 196 mrreviewer = {Larry C. Grove}, 197 printedkey = {Ben76} 198} 199@article{ BC72, 200 author = {Benson, C. T. and Curtis, C. W.}, 201 title = {On the degrees and rationality of certain characters 202 of finite {C}hevalley groups}, 203 journal = {Trans. Amer. Math. Soc.}, 204 volume = {165}, 205 year = {1972}, 206 pages = {251{\textendash}273}, 207 fjournal = {Transactions of the American Mathematical Society}, 208 issn = {0002-9947}, 209 mrclass = {20C30}, 210 mrnumber = {0304473 (46 \#3608)}, 211 mrreviewer = {A. Dress}, 212 printedkey = {BC72} 213} 214@article{ Ber76, 215 author = {Berger, T. R.}, 216 title = {Characters and derived length in groups of odd order}, 217 journal = {J. Algebra}, 218 volume = {39}, 219 number = {1}, 220 year = {1976}, 221 pages = {199{\textendash}207}, 222 fjournal = {Journal of Algebra}, 223 issn = {0021-8693}, 224 mrclass = {20C15}, 225 mrnumber = {0396729 (53 \#590)}, 226 mrreviewer = {I. M. Isaacs}, 227 printedkey = {Ber76} 228} 229@mastersthesis{ Besche92, 230 author = {Besche, H. U.}, 231 title = {Die {B}erechnung von {C}haraktergraden und 232 {C}harakteren endlicher aufl{\"o}sbarer {G}ruppen im 233 {C}omputeralgebrasystem {GAP}}, 234 school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch 235 Westf{\"a}lische Technische Hochschule}, 236 address = {Aachen, Germany}, 237 year = {1992}, 238 printedkey = {Bes92}, 239 type = {Diplomarbeit} 240} 241@article{ BescheEick98, 242 author = {Besche, H. U. and Eick, B.}, 243 title = {Construction of finite groups}, 244 journal = {J. Symbolic Comput.}, 245 volume = {27}, 246 number = {4}, 247 year = {1999}, 248 pages = {387{\textendash}404}, 249 fjournal = {Journal of Symbolic Computation}, 250 issn = {0747-7171}, 251 mrclass = {20-04 (20D05 20D10)}, 252 mrnumber = {1681346 (2000c:20001)}, 253 mrreviewer = {Eamonn A. O'Brien}, 254 printedkey = {BE99} 255} 256@article{ BescheEick1000, 257 author = {Besche, H. U. and Eick, B.}, 258 title = {The groups of order at most 1000 except 512 and 768}, 259 journal = {J. Symbolic Comput.}, 260 volume = {27}, 261 number = {4}, 262 year = {1999}, 263 pages = {405{\textendash}413}, 264 fjournal = {Journal of Symbolic Computation}, 265 issn = {0747-7171}, 266 mrclass = {20-04 (20D05 20D10)}, 267 mrnumber = {1681347 (2000c:20002)}, 268 mrreviewer = {Eamonn A. O'Brien}, 269 printedkey = {BE99} 270} 271@article{ BescheEick768, 272 author = {Besche, H. U. and Eick, B.}, 273 title = {The groups of order {$q^n \cdot p$}}, 274 journal = {Comm. Algebra}, 275 volume = {29}, 276 number = {4}, 277 year = {2001}, 278 pages = {1759{\textendash}1772}, 279 coden = {COALDM}, 280 fjournal = {Communications in Algebra}, 281 issn = {0092-7872}, 282 mrclass = {20D60}, 283 mrnumber = {1853124 (2002f:20028)}, 284 printedkey = {BE01} 285} 286@article{ BEO00, 287 author = {Besche, H. U. and Eick, B. and O'Brien, E. A.}, 288 title = {The groups of order at most 2000}, 289 journal = {Electron. Res. Announc. Amer. Math. Soc.}, 290 volume = {7}, 291 year = {2001}, 292 pages = {1{\textendash}4 (electronic)}, 293 fjournal = {Electronic Research Announcements of the American 294 Mathematical Society}, 295 issn = {1079-6762}, 296 mrclass = {20D60}, 297 mrnumber = {1826989}, 298 printedkey = {BEO01} 299} 300@article{ BEO01, 301 author = {Besche, H. U. and Eick, B. and O'Brien, E. A.}, 302 title = {A millennium project: constructing small groups}, 303 journal = {Internat. J. Algebra Comput.}, 304 volume = {12}, 305 number = {5}, 306 year = {2002}, 307 pages = {623{\textendash}644}, 308 fjournal = {International Journal of Algebra and Computation}, 309 issn = {0218-1967}, 310 mrclass = {20D99}, 311 mrnumber = {1935567 (2003h:20042)}, 312 mrreviewer = {Robert M. Guralnick}, 313 printedkey = {BEO02} 314} 315@article{ BFS79, 316 author = {Beyl, F. R. and Felgner, U. and Schmid, P.}, 317 title = {On groups occurring as center factor groups}, 318 journal = {J. Algebra}, 319 volume = {61}, 320 number = {1}, 321 year = {1979}, 322 pages = {161{\textendash}177}, 323 coden = {JALGA4}, 324 fjournal = {Journal of Algebra}, 325 issn = {0021-8693}, 326 mrclass = {20E22}, 327 mrnumber = {554857 (81i:20034)}, 328 mrreviewer = {Richard E. Phillips}, 329 printedkey = {BFS79} 330} 331@article{ EOB99, 332 author = {Eick, B. and O'Brien, E. A.}, 333 title = {Enumerating {$p$}-groups}, 334 journal = {J. Austral. Math. Soc. Ser. A}, 335 volume = {67}, 336 number = {2}, 337 year = {1999}, 338 pages = {191{\textendash}205}, 339 note = {Group theory}, 340 coden = {JAMADS}, 341 fjournal = {Australian Mathematical Society. Journal. Series A. 342 Pure Mathematics and Statistics}, 343 issn = {0263-6115}, 344 mrclass = {20D15 (20J05)}, 345 mrnumber = {1717413 (2000h:20033)}, 346 mrreviewer = {Ph{\d a}m Anh Minh}, 347 printedkey = {EO99} 348} 349@incollection{ EOB98, 350 author = {Eick, B. and O'Brien, E. A.}, 351 editor = {Matzat, B. H. and Greuel, G.-M. and Hiss, G.}, 352 booktitle = {Algorithmic algebra and number theory (Heidelberg, 353 1997)}, 354 title = {The groups of order {$512$}}, 355 publisher = {Springer}, 356 address = {Berlin}, 357 year = {1999}, 358 pages = {379{\textendash}380}, 359 note = {Proceedings of Abschlusstagung des DFG Schwerpunktes 360 Algorithmische Algebra und Zahlentheorie in Heidelberg}, 361 mrclass = {20D15}, 362 mrnumber = {1672078 (99m:20034)}, 363 printedkey = {EO99} 364} 365@article{ NOV04, 366 author = {Newman, M. F. and O'Brien, E. A. and Vaughan-Lee, M. 367 R.}, 368 title = {Groups and nilpotent {L}ie rings whose order is the 369 sixth power of a prime}, 370 journal = {J. Algebra}, 371 volume = {278}, 372 number = {1}, 373 year = {2004}, 374 pages = {383{\textendash}401}, 375 coden = {JALGA4}, 376 fjournal = {Journal of Algebra}, 377 issn = {0021-8693}, 378 mrclass = {20D15 (17B30)}, 379 mrnumber = {2068084 (2005c:20034)}, 380 mrreviewer = {Jeffrey M. Riedl}, 381 printedkey = {NOV04} 382} 383@article{ OV05, 384 author = {O'Brien, E. A. and Vaughan-Lee, M. R.}, 385 title = {The groups with order $p^7$ for odd prime $p$}, 386 journal = {J. Algebra}, 387 volume = {292}, 388 number = {1}, 389 year = {2005}, 390 pages = {243{\textendash}258}, 391 coden = {JALGA4}, 392 fjournal = {Journal of Algebra}, 393 issn = {0021-8693}, 394 mrclass = {20D15 (17B30)}, 395 mrnumber = {2166803 (2006d:20038)}, 396 printedkey = {OV05} 397} 398@mastersthesis{ Gir03, 399 author = {Girnat, B.}, 400 title = {{K}lassifikation der {G}ruppen bis zur {O}rdnung 401 {$p^5$}}, 402 school = {TU Braunschweig}, 403 address = {Braunschweig, Germany}, 404 year = {2003}, 405 printedkey = {Gir03}, 406 type = {Staatsexamensarbeit} 407} 408@article{ DEi05, 409 author = {Dietrich, H. and Eick, B.}, 410 title = {On the groups of cube-free order}, 411 journal = {J. Algebra}, 412 volume = {292}, 413 number = {1}, 414 year = {2005}, 415 pages = {122{\textendash}137}, 416 coden = {JALGA4}, 417 fjournal = {Journal of Algebra}, 418 issn = {0021-8693}, 419 mrclass = {20-04 (20D06 20D10)}, 420 mrnumber = {2166799 (2006g:20001)}, 421 mrreviewer = {Eamonn A. O'Brien}, 422 printedkey = {DE05} 423} 424@mastersthesis{ Bis89, 425 author = {Bischops, T.}, 426 title = {Collectoren im {P}rogrammsystem {GAP}}, 427 school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch 428 Westf{\"a}lische Technische Hochschule}, 429 address = {Aachen, Germany}, 430 year = {1989}, 431 printedkey = {Bis89}, 432 type = {Diplomarbeit} 433} 434@techreport{ BC92, 435 author = {Bosma, W. and Cannon, J. J.}, 436 title = {Handbook of {C}ayley Functions}, 437 institution = {Department of Pure Mathematics, University of Sydney}, 438 address = {Sydney, Australia}, 439 year = {1992}, 440 pages = {282 pp.}, 441 keywords = {system design; Cayley;; manual}, 442 printedkey = {BC92} 443} 444@book{ Bou68, 445 author = {Bourbaki, N.}, 446 title = {{\a'E}l{\a'e}ments de math{\a'e}matique. {F}asc. 447 {XXXIV}. {G}roupes et alg{\a`e}bres de {L}ie. 448 {C}hapitre {IV}: {G}roupes de {C}oxeter et 449 syst{\a`e}mes de {T}its. {C}hapitre {V}: {G}roupes 450 engendr{\a'e}s par des r{\a'e}flexions. {C}hapitre 451 {VI}: syst{\a`e}mes de racines}, 452 publisher = {Hermann}, 453 series = {Actualit{\a'e}s Scientifiques et Industrielles, No. 454 1337}, 455 address = {Paris}, 456 year = {1968}, 457 pages = {288 pp. (loose errata)}, 458 mrclass = {22.50 (17.00)}, 459 mrnumber = {0240238 (39 \#1590)}, 460 mrreviewer = {G. B. Seligman}, 461 printedkey = {Bou68} 462} 463@article{ BC89, 464 author = {Brent, R. P. and Cohen, G. L.}, 465 title = {A new lower bound for odd perfect numbers}, 466 journal = {Math. Comp.}, 467 volume = {53}, 468 number = {187}, 469 year = {1989}, 470 pages = {431{\textendash}437, S7{\textendash}S24}, 471 coden = {MCMPAF}, 472 fjournal = {Mathematics of Computation}, 473 issn = {0025-5718}, 474 mrclass = {11A25 (11Y05 11Y70)}, 475 mrnumber = {968150 (89m:11008)}, 476 mrreviewer = {Samuel S. Wagstaff, Jr.}, 477 printedkey = {BC89} 478} 479@mastersthesis{ Bre91, 480 author = {Breuer, T.}, 481 title = {Potenzabbildungen, {U}ntergruppenfusionen, 482 {T}afel-{A}utomorphismen}, 483 school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch 484 Westf{\"a}lische Technische Hochschule}, 485 address = {Aachen, Germany}, 486 year = {1991}, 487 printedkey = {Bre91}, 488 type = {Diplomarbeit} 489} 490@article{ BL96, 491 author = {Breuer, T. and Lux, K.}, 492 title = {The multiplicity-free permutation characters of the 493 sporadic simple groups and their automorphism groups}, 494 journal = {Comm. Algebra}, 495 volume = {24}, 496 number = {7}, 497 year = {1996}, 498 pages = {2293{\textendash}2316}, 499 coden = {COALDM}, 500 fjournal = {Communications in Algebra}, 501 issn = {0092-7872}, 502 mrclass = {20C34 (20D08)}, 503 mrnumber = {1390375 (97c:20020)}, 504 mrreviewer = {Peter Fleischmann}, 505 printedkey = {BL96} 506} 507@article{ Bre97, 508 author = {Breuer, T.}, 509 title = {Integral bases for subfields of cyclotomic fields}, 510 journal = {Appl. Algebra Engrg. Comm. Comput.}, 511 volume = {8}, 512 number = {4}, 513 year = {1997}, 514 pages = {279{\textendash}289}, 515 coden = {AAECEW}, 516 fjournal = {Applicable Algebra in Engineering, Communication and 517 Computing}, 518 issn = {0938-1279}, 519 mrclass = {11R18}, 520 mrnumber = {1464789 (99a:11120)}, 521 mrreviewer = {Wieb Bosma}, 522 printedkey = {Bre97} 523} 524@article{ BP98, 525 author = {Breuer, T. and Pfeiffer, G.}, 526 title = {Finding possible permutation characters}, 527 journal = {J. Symbolic Comput.}, 528 volume = {26}, 529 number = {3}, 530 year = {1998}, 531 pages = {343{\textendash}354}, 532 fjournal = {Journal of Symbolic Computation}, 533 issn = {0747-7171}, 534 mrclass = {20B99 (20B40 20C15 20C40)}, 535 mrnumber = {1633876 (99e:20005)}, 536 mrreviewer = {Cheryl E. Praeger}, 537 printedkey = {BP98} 538} 539@inproceedings{ BreuerLinton98, 540 author = {Breuer, T. and Linton, S.}, 541 booktitle = {ISSAC '98: Proceedings of the 1998 international 542 symposium on Symbolic and algebraic computation}, 543 title = {The {GAP{\nobreakspace}4} Type System. Organizing 544 Algebraic Algorithms}, 545 publisher = {ACM Press}, 546 address = {New York, NY, USA}, 547 year = {1998}, 548 pages = {38{\textendash}45}, 549 crossref = {ISSAC98}, 550 note = {Chairman: Volker Weispfenning and Barry Trager}, 551 isbn = {1-58113-002-3}, 552 location = {Rostock, Germany}, 553 source = {ACM Order No.: 505980, ACM member price \$25}, 554 printedkey = {BL98} 555} 556@article{ Bre99, 557 author = {Breuer, T.}, 558 title = {Computing possible class fusions from character tables}, 559 journal = {Comm. Algebra}, 560 volume = {27}, 561 number = {6}, 562 year = {1999}, 563 pages = {2733{\textendash}2748}, 564 coden = {COALDM}, 565 fjournal = {Communications in Algebra}, 566 issn = {0092-7872}, 567 mrclass = {20C15}, 568 mrnumber = {1687309 (2000c:20015)}, 569 mrreviewer = {J{\"u}rgen Ritter}, 570 printedkey = {Bre99} 571} 572@inbook{ BN95, 573 author = {Breuer, T. and Norton, S. P.}, 574 title = {Improvements to the {A}tlas}, 575 publisher = {The Clarendon Press Oxford University Press}, 576 series = {London Mathematical Society Monographs. New Series}, 577 volume = {11}, 578 address = {New York}, 579 year = {1995}, 580 pages = {297{\textendash}327}, 581 crossref = {JLPW95}, 582 note = {Appendix 2 by T. Breuer and S. Norton, Oxford Science 583 Publications}, 584 isbn = {0-19-851481-6}, 585 mrclass = {20C20 (20-00 20D06 20D08)}, 586 mrnumber = {1367961 (96k:20016)}, 587 mrreviewer = {J. L. Alperin}, 588 printedkey = {BN95} 589} 590@article{ Bri71, 591 author = {Brieskorn, E.}, 592 title = {Die {F}undamentalgruppe des {R}aumes der regul{\"a}ren 593 {O}rbits einer endlichen komplexen {S}piegelungsgruppe}, 594 journal = {Invent. Math.}, 595 volume = {12}, 596 year = {1971}, 597 pages = {57{\textendash}61}, 598 fjournal = {Inventiones Mathematicae}, 599 issn = {0020-9910}, 600 mrclass = {55A05}, 601 mrnumber = {0293615 (45 \#2692)}, 602 mrreviewer = {L. Neuwirth}, 603 printedkey = {Bri71} 604} 605@article{ BS72, 606 author = {Brieskorn, E. and Saito, K.}, 607 title = {Artin-{G}ruppen und {C}oxeter-{G}ruppen}, 608 journal = {Invent. Math.}, 609 volume = {17}, 610 year = {1972}, 611 pages = {245{\textendash}271}, 612 fjournal = {Inventiones Mathematicae}, 613 issn = {0020-9910}, 614 mrclass = {20F05}, 615 mrnumber = {0323910 (48 \#2263)}, 616 mrreviewer = {D. E. Cohen}, 617 printedkey = {BS72} 618} 619@article{ BM93, 620 author = {Brou{\a'e}, M. and Malle, G.}, 621 title = {Zyklotomische {H}eckealgebren}, 622 journal = {Ast{\a'e}risque}, 623 publisher = {Soci{\a'e}t{\a'e} Math{\a'e}matique de France}, 624 number = {212}, 625 address = {Paris}, 626 year = {1993}, 627 pages = {119{\textendash}189}, 628 crossref = {Asterisque212}, 629 note = {Repr{\a'e}sentations unipotentes g{\a'e}n{\a'e}riques 630 et blocs des groupes r{\a'e}ductifs finis}, 631 fjournal = {Ast{\a'e}risque}, 632 issn = {0303-1179}, 633 mrclass = {20G40 (20C20 20H15)}, 634 mrnumber = {1235834 (94m:20095)}, 635 mrreviewer = {Fran{\c c}ois Digne}, 636 printedkey = {BM93} 637} 638@article{ BMM93, 639 author = {Brou{\a'e}, M. and Malle, G. and Michel, J.}, 640 title = {Generic blocks of finite reductive groups}, 641 journal = {Ast{\a'e}risque}, 642 publisher = {Soci{\a'e}t{\a'e} Math{\a'e}matique de France}, 643 number = {212}, 644 address = {Paris}, 645 year = {1993}, 646 pages = {7{\textendash}92}, 647 crossref = {Asterisque212}, 648 note = {Repr{\a'e}sentations unipotentes g{\a'e}n{\a'e}riques 649 et blocs des groupes r{\a'e}ductifs finis}, 650 fjournal = {Ast{\a'e}risque}, 651 issn = {0303-1179}, 652 mrclass = {20G05 (20C20)}, 653 mrnumber = {1235832 (95d:20072)}, 654 mrreviewer = {Bhama Srinivasan}, 655 printedkey = {BMM93} 656} 657@book{ Asterisque212, 658 author = {Brou{\a'e}, M. and Malle, G. and Michel, J.}, 659 title = {Repr{\a'e}sentations unipotentes g{\a'e}n{\a'e}riques 660 et blocs des groupes r{\a'e}ductifs finis}, 661 publisher = {Soci{\a'e}t{\a'e} Math{\a'e}matique de France}, 662 address = {Paris}, 663 year = {1993}, 664 pages = {1{\textendash}203}, 665 note = {Ast{\a'e}risque No. 212 (1993)}, 666 issn = {0303-1179}, 667 mrclass = {20G05}, 668 mrnumber = {1235830 (94c:20078)}, 669 printedkey = {BMM93} 670} 671@book{ Baker84, 672 author = {Baker, A.}, 673 title = {A concise introduction to the theory of numbers}, 674 publisher = {Cambridge University Press}, 675 address = {Cambridge}, 676 year = {1984}, 677 pages = {xiii+95}, 678 isbn = {0-521-24383-1; 0-521-28654-9}, 679 mrclass = {11-01}, 680 mrnumber = {781734 (86f:11001)}, 681 mrreviewer = {Don Redmond}, 682 printedkey = {Bak84} 683} 684@book{ BCN89, 685 author = {Brouwer, A. E. and Cohen, A. M. and Neumaier, A.}, 686 title = {Distance-regular graphs}, 687 publisher = {Springer-Verlag}, 688 series = {Ergebnisse der Mathematik und ihrer Grenzgebiete (3) 689 [Results in Mathematics and Related Areas (3)]}, 690 volume = {18}, 691 address = {Berlin}, 692 year = {1989}, 693 pages = {xviii+495}, 694 isbn = {3-540-50619-5}, 695 mrclass = {05-02 (05C75)}, 696 mrnumber = {1002568 (90e:05001)}, 697 mrreviewer = {Joe Hemmeter}, 698 printedkey = {BCN89} 699} 700@book{ BBNWZ78, 701 author = {Brown, H. and B{\"u}low, R. and Neub{\"u}ser, J. and 702 Wondratschek, H. and Zassenhaus, H.}, 703 title = {Crystallographic groups of four-dimensional space}, 704 publisher = {Wiley-Interscience [John Wiley \& Sons]}, 705 address = {New York}, 706 year = {1978}, 707 pages = {xiv+443}, 708 note = {Wiley Monographs in Crystallography}, 709 isbn = {0-471-03095-3}, 710 mrclass = {82.20 (20F05)}, 711 mrnumber = {0484179 (58 \#4109)}, 712 mrreviewer = {Daniel B. Litvin}, 713 printedkey = {BBNWZ78} 714} 715@article{ BCMa, 716 author = {Baumslag, G. and Cannonito, F. B. and Miller III, C. 717 F.}, 718 title = {Some recognizable properties of solvable groups}, 719 journal = {Math. Z.}, 720 volume = {178}, 721 number = {3}, 722 year = {1981}, 723 pages = {289{\textendash}295}, 724 coden = {MAZEAX}, 725 fjournal = {Mathematische Zeitschrift}, 726 issn = {0025-5874}, 727 mrclass = {20F16 (03D40 20F10)}, 728 mrnumber = {635200 (82k:20061)}, 729 mrreviewer = {V. A. Roman{\ensuremath{'}}kov}, 730 printedkey = {BCI81} 731} 732@article{ BCMb, 733 author = {Baumslag, G. and Cannonito, F. B. and Miller III, C. 734 F.}, 735 title = {Computable algebra and group embeddings}, 736 journal = {J. Algebra}, 737 volume = {69}, 738 number = {1}, 739 year = {1981}, 740 pages = {186{\textendash}212}, 741 coden = {JALGA4}, 742 fjournal = {Journal of Algebra}, 743 issn = {0021-8693}, 744 mrclass = {20F10 (03D40 03D45 16A53)}, 745 mrnumber = {613868 (82e:20042)}, 746 mrreviewer = {D. E. Cohen}, 747 printedkey = {BCI81} 748} 749@book{ Bourbaki70, 750 author = {Bourbaki, N.}, 751 title = {{\a'E}l{\a'e}ments de math{\a'e}matique. 752 {A}lg{\a`e}bre. {C}hapitres 1 {\a`a} 3}, 753 publisher = {Hermann}, 754 address = {Paris}, 755 year = {1970}, 756 pages = {xiii+635 pp. (not consecutively paged)}, 757 mrclass = {00.00 (13.00)}, 758 mrnumber = {0274237 (43 \#2)}, 759 mrreviewer = {P. Samuel}, 760 printedkey = {Bou70} 761} 762@article{ BJR87, 763 author = {Brown, R. and Johnson, D. L. and Robertson, E. F.}, 764 title = {Some computations of nonabelian tensor products of 765 groups}, 766 journal = {J. Algebra}, 767 volume = {111}, 768 number = {1}, 769 year = {1987}, 770 pages = {177{\textendash}202}, 771 coden = {JALGA4}, 772 fjournal = {Journal of Algebra}, 773 issn = {0021-8693}, 774 mrclass = {20F05 (20E22)}, 775 mrnumber = {913203 (88m:20071)}, 776 mrreviewer = {Stephen J. Pride}, 777 printedkey = {BJR87} 778} 779@article{ BuekenhoutLeemans96, 780 author = {Buekenhout, F. and Leemans, D.}, 781 title = {On the list of finite primitive permutation groups of 782 degree {$\leq 50$}}, 783 journal = {J. Symbolic Comput.}, 784 volume = {22}, 785 number = {2}, 786 year = {1996}, 787 pages = {215{\textendash}225}, 788 fjournal = {Journal of Symbolic Computation}, 789 issn = {0747-7171}, 790 mrclass = {20B15}, 791 mrnumber = {1422147 (97g:20004)}, 792 printedkey = {BL96} 793} 794@article{ BM83, 795 author = {Butler, G. and McKay, J.}, 796 title = {The transitive groups of degree up to eleven}, 797 journal = {Comm. Algebra}, 798 volume = {11}, 799 number = {8}, 800 year = {1983}, 801 pages = {863{\textendash}911}, 802 coden = {COALDM}, 803 fjournal = {Communications in Algebra}, 804 issn = {0092-7872}, 805 mrclass = {20B05}, 806 mrnumber = {695893 (84f:20005)}, 807 mrreviewer = {Michael Klemm}, 808 printedkey = {BM83} 809} 810@article{ Butler93, 811 author = {Butler, G.}, 812 title = {The transitive groups of degree fourteen and fifteen}, 813 journal = {J. Symbolic Comput.}, 814 volume = {16}, 815 number = {5}, 816 year = {1993}, 817 pages = {413{\textendash}422}, 818 fjournal = {Journal of Symbolic Computation}, 819 issn = {0747-7171}, 820 mrclass = {20B35 (20B40 68Q40)}, 821 mrnumber = {1271082 (95e:20006)}, 822 mrreviewer = {Gerhard Hiss}, 823 printedkey = {But93} 824} 825@phdthesis{ Bra89, 826 author = {Bradford, R. J.}, 827 title = {On the computation of integral bases and defects of 828 integrity}, 829 school = {School of Mathematical Sciences, University of Bath}, 830 address = {Bath}, 831 year = {1989}, 832 printedkey = {Bra89} 833} 834@article{ BTW93, 835 author = {Beauzamy, B. and Trevisan, V. and Wang, P. S.}, 836 title = {Polynomial factorization: sharp bounds, efficient 837 algorithms}, 838 journal = {J. Symbolic Comput.}, 839 volume = {15}, 840 number = {4}, 841 year = {1993}, 842 pages = {393{\textendash}413}, 843 fjournal = {Journal of Symbolic Computation}, 844 issn = {0747-7171}, 845 mrclass = {68Q40}, 846 mrnumber = {1227929 (94m:68091)}, 847 printedkey = {BTW93} 848} 849@book{ Bur55, 850 author = {Burnside, W.}, 851 title = {Theory of groups of finite order}, 852 publisher = {Dover Publications Inc.}, 853 address = {New York}, 854 year = {1955}, 855 pages = {xxiv+512}, 856 note = {Unabridged republication of the second edition, 857 published in 1911}, 858 mrclass = {20.0X}, 859 mrnumber = {0069818 (16,1086c)}, 860 printedkey = {Bur55} 861} 862@article{ But82, 863 author = {Butler, G.}, 864 title = {Computing in permutation and matrix groups. {II}. 865 {B}acktrack algorithm}, 866 journal = {Math. Comp.}, 867 volume = {39}, 868 number = {160}, 869 year = {1982}, 870 pages = {671{\textendash}680}, 871 coden = {MCMPAF}, 872 fjournal = {Mathematics of Computation}, 873 issn = {0025-5718}, 874 mrclass = {20-04 (20E25 20G40)}, 875 mrnumber = {669659 (83k:20004b)}, 876 mrreviewer = {J. D. Dixon}, 877 keywords = {permutation groups, matrix groups;; backtrack through 878 stabilizer chain}, 879 printedkey = {But82} 880} 881@article{ BuCa89, 882 author = {Butler, G. and Cannon, J.}, 883 title = {Computing in permutation and matrix groups. {III}. 884 {S}ylow subgroups}, 885 journal = {J. Symbolic Comput.}, 886 volume = {8}, 887 number = {3}, 888 year = {1989}, 889 pages = {241{\textendash}252}, 890 fjournal = {Journal of Symbolic Computation}, 891 issn = {0747-7171}, 892 mrclass = {20-04 (20D20)}, 893 mrnumber = {1015649 (90i:20003)}, 894 mrreviewer = {J. D. Dixon}, 895 printedkey = {BC89} 896} 897@article{ But85a, 898 author = {Butler, G.}, 899 title = {Effective computation with group homomorphisms}, 900 journal = {J. Symbolic Comput.}, 901 volume = {1}, 902 number = {2}, 903 year = {1985}, 904 pages = {143{\textendash}157}, 905 fjournal = {Journal of Symbolic Computation}, 906 issn = {0747-7171}, 907 mrclass = {68Q40 (20-04 20B99)}, 908 mrnumber = {818875 (87b:68057)}, 909 keywords = {permutation groups; homomorphisms}, 910 printedkey = {But85} 911} 912@mastersthesis{ Cam71, 913 author = {Campbell, H. A.}, 914 title = {An extension of coset enumeration}, 915 school = {McGill University}, 916 address = {Montreal, Canada}, 917 year = {1971}, 918 keywords = {finitely presented groups; subgroup presentation; 919 modified Todd Coxeter (mtc); program description}, 920 printedkey = {Cam71}, 921 type = {M. Sc. thesis} 922} 923@article{ Can73, 924 author = {Cannon, J. J.}, 925 title = {Construction of defining relators for finite groups}, 926 journal = {Discrete Math.}, 927 volume = {5}, 928 year = {1973}, 929 pages = {105{\textendash}129}, 930 fjournal = {Discrete Mathematics}, 931 issn = {0012-365X}, 932 mrclass = {20F05}, 933 mrnumber = {0318322 (47 \#6869)}, 934 mrreviewer = {H. S. M. Coxeter}, 935 printedkey = {Can73} 936} 937@article{ Car72, 938 author = {Carter, R. W.}, 939 title = {Conjugacy classes in the {W}eyl group}, 940 journal = {Compositio Math.}, 941 volume = {25}, 942 year = {1972}, 943 pages = {1{\textendash}59}, 944 fjournal = {Compositio Mathematica}, 945 issn = {0010-437X}, 946 mrclass = {20H15 (17B20)}, 947 mrnumber = {0318337 (47 \#6884)}, 948 mrreviewer = {Juri A. Bahturin}, 949 printedkey = {Car72} 950} 951@book{ Car85, 952 author = {Carter, R. W.}, 953 title = {Finite groups of {L}ie type}, 954 publisher = {John Wiley \& Sons Inc.}, 955 series = {Pure and Applied Mathematics (New York)}, 956 address = {New York}, 957 year = {1985}, 958 pages = {xii+544}, 959 note = {Conjugacy classes and complex characters, A 960 Wiley-Interscience Publication}, 961 isbn = {0-471-90554-2}, 962 mrclass = {20G40 (20-02 20C15)}, 963 mrnumber = {794307 (87d:20060)}, 964 mrreviewer = {David B. Surowski}, 965 printedkey = {Car85} 966} 967@book{ Car8593, 968 author = {Carter, R. W.}, 969 title = {Finite groups of {L}ie type}, 970 publisher = {John Wiley \& Sons Ltd.}, 971 series = {Wiley Classics Library}, 972 address = {Chichester}, 973 year = {1993}, 974 pages = {xii+544}, 975 note = {Conjugacy classes and complex characters, Reprint of 976 the 1985 original, A Wiley-Interscience Publication}, 977 isbn = {0-471-94109-3}, 978 mrclass = {20C33 (20-02 20G40)}, 979 mrnumber = {1266626 (94k:20020)}, 980 printedkey = {Car93} 981} 982@article{ Car86, 983 author = {Carter, R. W.}, 984 title = {Representation theory of the {$0$}-{H}ecke algebra}, 985 journal = {J. Algebra}, 986 volume = {104}, 987 number = {1}, 988 year = {1986}, 989 pages = {89{\textendash}103}, 990 coden = {JALGA4}, 991 fjournal = {Journal of Algebra}, 992 issn = {0021-8693}, 993 mrclass = {20C15 (16A65 20G05)}, 994 mrnumber = {865891 (88a:20014)}, 995 mrreviewer = {David Benson}, 996 printedkey = {Car86} 997} 998@book{ Car72a, 999 author = {Carter, R. W.}, 1000 title = {Simple groups of {L}ie type}, 1001 publisher = {John Wiley \& Sons, London-New York-Sydney}, 1002 year = {1972}, 1003 pages = {viii+331}, 1004 note = {Pure and Applied Mathematics, Vol. 28}, 1005 mrclass = {20G15 (20D05 22E20)}, 1006 mrnumber = {0407163 (53 \#10946)}, 1007 mrreviewer = {Louis Solomon}, 1008 printedkey = {Car72} 1009} 1010@book{ Car72a89, 1011 author = {Carter, R. W.}, 1012 title = {Simple groups of {L}ie type}, 1013 publisher = {John Wiley \& Sons Inc.}, 1014 series = {Wiley Classics Library}, 1015 address = {New York}, 1016 year = {1989}, 1017 pages = {x+335}, 1018 note = {Reprint of the 1972 original, A Wiley-Interscience 1019 Publication}, 1020 isbn = {0-471-50683-4}, 1021 mrclass = {20-02 (20D05 20E32 20G15 20G40 22-02)}, 1022 mrnumber = {1013112 (90g:20001)}, 1023 printedkey = {Car89} 1024} 1025@mastersthesis{ Cel92, 1026 author = {Celler, F.}, 1027 title = {Kohomologie und {N}ormalisatoren in {GAP}}, 1028 school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch 1029 Westf{\"a}lische Technische Hochschule}, 1030 address = {Aachen, Germany}, 1031 year = {1992}, 1032 printedkey = {Cel92}, 1033 type = {Diplomarbeit} 1034} 1035@article{ CNW90, 1036 author = {Celler, F. and Neub{\"u}ser, J. and Wright, C. R. B.}, 1037 title = {Some remarks on the computation of complements and 1038 normalizers in soluble groups}, 1039 journal = {Acta Appl. Math.}, 1040 volume = {21}, 1041 number = {1-2}, 1042 year = {1990}, 1043 pages = {57{\textendash}76}, 1044 coden = {AAMADV}, 1045 fjournal = {Acta Applicandae Mathematicae. An International Survey 1046 Journal on Applying Mathematics and Mathematical 1047 Applications}, 1048 issn = {0167-8019}, 1049 mrclass = {20D10 (20-04)}, 1050 mrnumber = {1085773 (91m:20026)}, 1051 mrreviewer = {Michael C. Slattery}, 1052 printedkey = {CNW90} 1053} 1054@article{ Cha92, 1055 author = {Charney, R.}, 1056 title = {Artin groups of finite type are biautomatic}, 1057 journal = {Math. Ann.}, 1058 volume = {292}, 1059 number = {4}, 1060 year = {1992}, 1061 pages = {671{\textendash}683}, 1062 coden = {MAANA}, 1063 fjournal = {Mathematische Annalen}, 1064 issn = {0025-5831}, 1065 mrclass = {20F36 (20F10)}, 1066 mrnumber = {1157320 (93c:20067)}, 1067 mrreviewer = {D. F. Holt}, 1068 printedkey = {Cha92} 1069} 1070@article{ Cla97, 1071 author = {Clausen, M.}, 1072 title = {A direct proof of {M}inkwitz's extension theorem}, 1073 journal = {Appl. Algebra Engrg. Comm. Comput.}, 1074 volume = {8}, 1075 number = {4}, 1076 year = {1997}, 1077 pages = {305{\textendash}306}, 1078 coden = {AAECEW}, 1079 fjournal = {Applicable Algebra in Engineering, Communication and 1080 Computing}, 1081 issn = {0938-1279}, 1082 mrclass = {20C15}, 1083 mrnumber = {1464791}, 1084 printedkey = {Cla97} 1085} 1086@book{ Coh93, 1087 author = {Cohen, H.}, 1088 title = {A course in computational algebraic number theory}, 1089 publisher = {Springer-Verlag}, 1090 series = {Graduate Texts in Mathematics}, 1091 volume = {138}, 1092 address = {Berlin}, 1093 year = {1993}, 1094 pages = {xii+534}, 1095 isbn = {3-540-55640-0}, 1096 mrclass = {11Y40 (11Rxx 68Q40)}, 1097 mrnumber = {1228206 (94i:11105)}, 1098 mrreviewer = {Joe P. Buhler}, 1099 printedkey = {Coh93} 1100} 1101@article{ Con90a, 1102 author = {Conlon, S. B.}, 1103 title = {Calculating characters of {$p$}-groups}, 1104 journal = {J. Symbolic Comput.}, 1105 volume = {9}, 1106 number = {5-6}, 1107 year = {1990}, 1108 pages = {535{\textendash}550}, 1109 note = {Computational group theory, Part 1}, 1110 fjournal = {Journal of Symbolic Computation}, 1111 issn = {0747-7171}, 1112 mrclass = {20C40 (20C15 20D15)}, 1113 mrnumber = {1075421 (91j:20033)}, 1114 mrreviewer = {Michael C. Slattery}, 1115 printedkey = {Con90} 1116} 1117@article{ Con90b, 1118 author = {Conlon, S. B.}, 1119 title = {Computing modular and projective character degrees of 1120 soluble groups}, 1121 journal = {J. Symbolic Comput.}, 1122 volume = {9}, 1123 number = {5-6}, 1124 year = {1990}, 1125 pages = {551{\textendash}570}, 1126 note = {Computational group theory, Part 1}, 1127 fjournal = {Journal of Symbolic Computation}, 1128 issn = {0747-7171}, 1129 mrclass = {20C40 (20C15 20C20)}, 1130 mrnumber = {1075422 (91j:20034)}, 1131 mrreviewer = {Michael C. Slattery}, 1132 printedkey = {Con90} 1133} 1134@book{ CCN85, 1135 author = {Conway, J. H. and Curtis, R. T. and Norton, S. P. and 1136 Parker, R. A. and Wilson, R. A.}, 1137 title = {Atlas of finite groups}, 1138 publisher = {Oxford University Press}, 1139 address = {Eynsham}, 1140 year = {1985}, 1141 pages = {xxxiv+252}, 1142 note = {Maximal subgroups and ordinary characters for simple 1143 groups, With computational assistance from J. G. 1144 Thackray}, 1145 isbn = {0-19-853199-0}, 1146 mrclass = {20D05 (20-02)}, 1147 mrnumber = {827219 (88g:20025)}, 1148 mrreviewer = {R. L. Griess}, 1149 printedkey = {CCNPW85} 1150} 1151@article{ ConwayHulpkeMcKay98, 1152 author = {Conway, J. H. and Hulpke, A. and McKay, J.}, 1153 title = {On transitive permutation groups}, 1154 journal = {LMS J. Comput. Math.}, 1155 volume = {1}, 1156 year = {1998}, 1157 pages = {1{\textendash}8 (electronic)}, 1158 fjournal = {LMS Journal of Computation and Mathematics}, 1159 issn = {1461-1570}, 1160 mrclass = {20B05 (20B40)}, 1161 mrnumber = {1635715 (99g:20011)}, 1162 mrreviewer = {D. F. Holt}, 1163 printedkey = {CHM98} 1164} 1165@article{ CF94, 1166 author = {Cooperman, G. and Finkelstein, L.}, 1167 title = {A random base change algorithm for permutation groups}, 1168 journal = {J. Symbolic Comput.}, 1169 volume = {17}, 1170 number = {6}, 1171 year = {1994}, 1172 pages = {513{\textendash}528}, 1173 fjournal = {Journal of Symbolic Computation}, 1174 issn = {0747-7171}, 1175 mrclass = {68Q40 (20B07)}, 1176 mrnumber = {1300351 (96a:68048)}, 1177 printedkey = {CF94} 1178} 1179@book{ CLR90, 1180 author = {Cormen, T. H. and Leiserson, C. E. and Rivest, R. L.}, 1181 title = {Introduction to algorithms}, 1182 publisher = {MIT Press}, 1183 series = {The MIT Electrical Engineering and Computer Science 1184 Series}, 1185 address = {Cambridge, MA}, 1186 year = {1990}, 1187 pages = {xx+1028}, 1188 isbn = {0-262-03141-8}, 1189 mrclass = {68-01 (05-01 05C85 68Q25)}, 1190 mrnumber = {1066870 (91i:68001)}, 1191 mrreviewer = {Selim G. Akl}, 1192 printedkey = {CLR90} 1193} 1194@article{ CRDQ11, 1195 author = {Quick, M.}, 1196 title = {The primitive permutation groups of degree less than 1197 4096}, 1198 journal = {Comm. Algebra}, 1199 volume = {39}, 1200 number = {10}, 1201 year = {2011}, 1202 pages = {3526{\textendash}3546}, 1203 coden = {COALDM}, 1204 fjournal = {Communications in Algebra}, 1205 issn = {0092-7872}, 1206 mrclass = {20B15}, 1207 mrnumber = {2845584}, 1208 mrreviewer = {Thomas Michael Keller}, 1209 printedkey = {Qui11} 1210} 1211@book{ coxlittleoshea, 1212 author = {Cox, D. and Little, J. and O'Shea, D.}, 1213 title = {Ideals, varieties, and algorithms}, 1214 publisher = {Springer-Verlag}, 1215 edition = {Second}, 1216 series = {Undergraduate Texts in Mathematics}, 1217 address = {New York}, 1218 year = {1997}, 1219 pages = {xiv+536}, 1220 note = {An introduction to computational algebraic geometry 1221 and commutative algebra}, 1222 isbn = {0-387-94680-2}, 1223 mrclass = {13P10 (13-01 14-01 14Qxx 68Q40)}, 1224 mrnumber = {1417938 (97h:13024)}, 1225 printedkey = {CLO97} 1226} 1227@book{ CR81, 1228 author = {Curtis, C. W. and Reiner, I.}, 1229 title = {Methods of representation theory. {V}ol. {I}}, 1230 publisher = {John Wiley \& Sons Inc.}, 1231 address = {New York}, 1232 year = {1981}, 1233 pages = {xxi+819}, 1234 note = {With applications to finite groups and orders, Pure 1235 and Applied Mathematics, A Wiley-Interscience 1236 Publication}, 1237 isbn = {0-471-18994-4}, 1238 mrclass = {20-02 (10C30 12A57 20Cxx)}, 1239 mrnumber = {632548 (82i:20001)}, 1240 mrreviewer = {J. L. Alperin}, 1241 printedkey = {CR81} 1242} 1243@book{ CR87, 1244 author = {Curtis, C. W. and Reiner, I.}, 1245 title = {Methods of representation theory. {V}ol. {II}}, 1246 publisher = {John Wiley \& Sons Inc.}, 1247 series = {Pure and Applied Mathematics (New York)}, 1248 address = {New York}, 1249 year = {1987}, 1250 pages = {xviii+951}, 1251 note = {With applications to finite groups and orders, A 1252 Wiley-Interscience Publication}, 1253 isbn = {0-471-88871-0}, 1254 mrclass = {20-02 (11Exx 18F25 19A31 19B28 19C99 20Cxx)}, 1255 mrnumber = {892316 (88f:20002)}, 1256 mrreviewer = {J. L. Alperin}, 1257 printedkey = {CR87} 1258} 1259@article{ Del72, 1260 author = {Deligne, P.}, 1261 title = {Les immeubles des groupes de tresses 1262 g{\a'e}n{\a'e}ralis{\a'e}s}, 1263 journal = {Invent. Math.}, 1264 volume = {17}, 1265 year = {1972}, 1266 pages = {273{\textendash}302}, 1267 fjournal = {Inventiones Mathematicae}, 1268 issn = {0020-9910}, 1269 mrclass = {32C40 (55A25)}, 1270 mrnumber = {0422673 (54 \#10659)}, 1271 mrreviewer = {Alan H. Durfee}, 1272 printedkey = {Del72} 1273} 1274@article{ Deo89, 1275 author = {Deodhar, V. V.}, 1276 title = {A note on subgroups generated by reflections in 1277 {C}oxeter groups}, 1278 journal = {Arch. Math. (Basel)}, 1279 volume = {53}, 1280 number = {6}, 1281 year = {1989}, 1282 pages = {543{\textendash}546}, 1283 coden = {ACVMAL}, 1284 fjournal = {Archiv der Mathematik}, 1285 issn = {0003-889X}, 1286 mrclass = {20H15 (20F55)}, 1287 mrnumber = {1023969 (91c:20063)}, 1288 mrreviewer = {Fran{\c c}ois Digne}, 1289 printedkey = {Deo89} 1290} 1291@article{ Dix67, 1292 author = {Dixon, J. D.}, 1293 title = {High speed computation of group characters}, 1294 journal = {Numer. Math.}, 1295 volume = {10}, 1296 year = {1967}, 1297 pages = {446{\textendash}450}, 1298 fjournal = {Numerische Mathematik}, 1299 issn = {0029-599X}, 1300 mrclass = {20.80 (65.00)}, 1301 mrnumber = {0224726 (37 \#325)}, 1302 mrreviewer = {D. H. Lehmer}, 1303 printedkey = {Dix67} 1304} 1305@article{ DixonMortimer88, 1306 author = {Dixon, J. D. and Mortimer, B.}, 1307 title = {The primitive permutation groups of degree less than 1308 {$1000$}}, 1309 journal = {Math. Proc. Cambridge Philos. Soc.}, 1310 volume = {103}, 1311 number = {2}, 1312 year = {1988}, 1313 pages = {213{\textendash}238}, 1314 coden = {MPCPCO}, 1315 fjournal = {Mathematical Proceedings of the Cambridge 1316 Philosophical Society}, 1317 issn = {0305-0041}, 1318 mrclass = {20B10 (20B15 20B20)}, 1319 mrnumber = {923674 (89b:20014)}, 1320 mrreviewer = {Wolfgang Knapp}, 1321 printedkey = {DM88} 1322} 1323@incollection{ Dix93, 1324 author = {Dixon, J. D.}, 1325 editor = {Finkelstein, L. and Kantor, W. M.}, 1326 booktitle = {Groups and computation (New Brunswick, NJ, 1991)}, 1327 title = {Constructing representations of finite groups}, 1328 publisher = {Amer. Math. Soc.}, 1329 series = {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.}, 1330 volume = {11}, 1331 address = {Providence, RI}, 1332 year = {1993}, 1333 pages = {105{\textendash}112}, 1334 crossref = {DIMACS}, 1335 isbn = {0-8218-6599-4}, 1336 mrclass = {20C15 (20C30)}, 1337 mrnumber = {1235797 (94h:20011)}, 1338 mrreviewer = {Peter Fleischmann}, 1339 printedkey = {Dix93} 1340} 1341@article{ Dre69, 1342 author = {Dress, A.}, 1343 title = {A characterisation of solvable groups}, 1344 journal = {Math. Z.}, 1345 volume = {110}, 1346 year = {1969}, 1347 pages = {213{\textendash}217}, 1348 fjournal = {Mathematische Zeitschrift}, 1349 issn = {0025-5874}, 1350 mrclass = {20.80}, 1351 mrnumber = {0248239 (40 \#1491)}, 1352 mrreviewer = {R. Schmidt}, 1353 printedkey = {Dre69} 1354} 1355@manual{ DuC91, 1356 author = {DuCloux, F.}, 1357 title = {Coxeter Version 1.0}, 1358 organization = {Universit{\a'e} de Lyon}, 1359 address = {Lyon, France}, 1360 year = {1991}, 1361 printedkey = {DuC91} 1362} 1363@article{ Dye90, 1364 author = {Dyer, M.}, 1365 title = {Reflection subgroups of {C}oxeter systems}, 1366 journal = {J. Algebra}, 1367 volume = {135}, 1368 number = {1}, 1369 year = {1990}, 1370 pages = {57{\textendash}73}, 1371 coden = {JALGA4}, 1372 fjournal = {Journal of Algebra}, 1373 issn = {0021-8693}, 1374 mrclass = {20F55 (17B20 20H15)}, 1375 mrnumber = {1076077 (91j:20100)}, 1376 mrreviewer = {Robert B{\a'e}dard}, 1377 printedkey = {Dye90} 1378} 1379@article{ EHR91, 1380 author = {Epstein, D. B. A. and Holt, D. F. and Rees, S. E.}, 1381 title = {The use of {K}nuth-{B}endix methods to solve the word 1382 problem in automatic groups}, 1383 journal = {J. Symbolic Comput.}, 1384 volume = {12}, 1385 number = {4-5}, 1386 year = {1991}, 1387 pages = {397{\textendash}414}, 1388 note = {Computational group theory, Part 2}, 1389 fjournal = {Journal of Symbolic Computation}, 1390 issn = {0747-7171}, 1391 mrclass = {68Q40 (03D40 20F10)}, 1392 mrnumber = {1146506 (92m:68052)}, 1393 mrreviewer = {Klaus Madlener}, 1394 printedkey = {EHR91} 1395} 1396@incollection{ Eick97, 1397 author = {Eick, B.}, 1398 editor = {Finkelstein, L. and Kantor, W. M.}, 1399 booktitle = {Groups and computation, II (New Brunswick, NJ, 1995)}, 1400 title = {Special presentations for finite soluble groups and 1401 computing (pre-){F}rattini subgroups}, 1402 publisher = {Amer. Math. Soc.}, 1403 series = {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.}, 1404 volume = {28}, 1405 address = {Providence, RI}, 1406 year = {1997}, 1407 pages = {101{\textendash}112}, 1408 crossref = {DIMACS2}, 1409 isbn = {0-8218-0516-9}, 1410 mrclass = {20D10 (20-04)}, 1411 mrnumber = {1444133 (99a:20014)}, 1412 printedkey = {Eic97} 1413} 1414@article{ EGN97, 1415 author = {Eick, B. and G{\"a}hler, F. and Nickel, W.}, 1416 title = {Computing maximal subgroups and {W}yckoff positions of 1417 space groups}, 1418 journal = {Acta Cryst. Sect. A}, 1419 volume = {53}, 1420 number = {4}, 1421 year = {1997}, 1422 pages = {467{\textendash}474}, 1423 coden = {ACACEQ}, 1424 fjournal = {Acta Crystallographica. Section A: Foundations of 1425 Crystallography}, 1426 issn = {0108-7673}, 1427 mrclass = {20H15 (82D25)}, 1428 mrnumber = {1461658 (98g:20080)}, 1429 mrreviewer = {Vojt{\v e}ch Kopsk{\a'y}}, 1430 printedkey = {EGN97} 1431} 1432@article{ EickHoefling02, 1433 author = {Eick, B. and H{\"o}fling, B.}, 1434 title = {The solvable primitive permutation groups of degree at 1435 most 6560}, 1436 journal = {LMS J. Comput. Math.}, 1437 volume = {6}, 1438 year = {2003}, 1439 pages = {29{\textendash}39 (electronic)}, 1440 fjournal = {LMS Journal of Computation and Mathematics}, 1441 issn = {1461-1570}, 1442 mrclass = {20B15}, 1443 mrnumber = {1971491 (2004a:20005)}, 1444 mrreviewer = {Xianhua Li}, 1445 printedkey = {EH03} 1446} 1447@inproceedings{ EickHulpke01, 1448 author = {Eick, B. and Hulpke, A.}, 1449 title = {Computing the maximal subgroups of a permutation group 1450 {I}}, 1451 pages = {155{\textendash}168}, 1452 crossref = {DIMACS3}, 1453 printedkey = {EH} 1454} 1455@article{ Ellis98, 1456 author = {Ellis, G.}, 1457 title = {On the capability of groups}, 1458 journal = {Proc. Edinburgh Math. Soc. (2)}, 1459 volume = {41}, 1460 number = {3}, 1461 year = {1998}, 1462 pages = {487{\textendash}495}, 1463 coden = {PRMSA3}, 1464 fjournal = {Proceedings of the Edinburgh Mathematical Society. 1465 Series II}, 1466 issn = {0013-0915}, 1467 mrclass = {20E22 (20F28 20J05)}, 1468 mrnumber = {1697585 (2000e:20053)}, 1469 mrreviewer = {J. Wiegold}, 1470 printedkey = {Ell98} 1471} 1472@book{ ECHLPT92, 1473 author = {Epstein, D. B. A. and Cannon, J. W. and Holt, D. F. 1474 and Levy, S. V. F. and Paterson, M. S. and Thurston, 1475 W. P.}, 1476 title = {Word processing in groups}, 1477 publisher = {Jones and Bartlett Publishers}, 1478 address = {Boston, MA}, 1479 year = {1992}, 1480 pages = {xii+330}, 1481 isbn = {0-86720-244-0}, 1482 mrclass = {20F10 (03D40 20-02 68Q70)}, 1483 mrnumber = {1161694 (93i:20036)}, 1484 mrreviewer = {Richard M. Thomas}, 1485 printedkey = {ECHLPT92} 1486} 1487@incollection{ FJNT95, 1488 author = {Felsch, V. and Johnson, D. L. and Neub{\"u}ser, J. and 1489 Tsaranov, S. V.}, 1490 booktitle = {Groups '93 Galway/St Andrews, Vol. 1 (Galway, 1993)}, 1491 title = {The structure of certain {C}oxeter groups}, 1492 publisher = {Cambridge Univ. Press}, 1493 series = {London Math. Soc. Lecture Note Ser.}, 1494 volume = {211}, 1495 address = {Cambridge}, 1496 year = {1995}, 1497 pages = {177{\textendash}190}, 1498 mrclass = {20F05 (20F55)}, 1499 mrnumber = {1342790 (96d:20028)}, 1500 mrreviewer = {Daan Krammer}, 1501 printedkey = {FJNT95} 1502} 1503@incollection{ FS84, 1504 author = {Felsch, V. and Sandl{\"o}bes, G.}, 1505 editor = {Atkinson, M. D.}, 1506 booktitle = {Computational group theory (Durham, 1982)}, 1507 title = {An interactive program for computing subgroups}, 1508 publisher = {Academic Press}, 1509 address = {London}, 1510 year = {1984}, 1511 pages = {137{\textendash}143}, 1512 crossref = {Durham1982}, 1513 isbn = {0-12-066270-1}, 1514 mrclass = {20-04 (20D10 68Q99)}, 1515 mrnumber = {760655 (85k:20003)}, 1516 keywords = {groups; subgroup lattice, table of marks; cyclic 1517 extensions; program description}, 1518 printedkey = {FS84} 1519} 1520@incollection{ FelschNeubueser79, 1521 author = {Felsch, V. and Neub{\"u}ser, J.}, 1522 editor = {Ng, E. W.}, 1523 booktitle = {Symbolic and algebraic computation (EUROSAM '79, 1524 Internat. Sympos., Marseille, 1979)}, 1525 title = {An algorithm for the computation of conjugacy classes 1526 and centralizers in {$p$}-groups}, 1527 publisher = {Springer}, 1528 series = {Lecture Notes in Comput. Sci.}, 1529 volume = {72}, 1530 address = {Berlin}, 1531 year = {1979}, 1532 pages = {452{\textendash}465}, 1533 crossref = {EUROSAM79}, 1534 note = {EUROSAM '79, an International Symposium held in 1535 Marseille, June 1979}, 1536 isbn = {3-540-09519-5}, 1537 mrclass = {20-04}, 1538 mrnumber = {575705 (82d:20003)}, 1539 mrreviewer = {Colin M. Campbell}, 1540 printedkey = {FN79} 1541} 1542@article{ Fon62, 1543 author = {Fong, P.}, 1544 title = {Solvable groups and modular representation theory}, 1545 journal = {Trans. Amer. Math. Soc.}, 1546 volume = {103}, 1547 year = {1962}, 1548 pages = {484{\textendash}494}, 1549 fjournal = {Transactions of the American Mathematical Society}, 1550 issn = {0002-9947}, 1551 mrclass = {20.80}, 1552 mrnumber = {0139667 (25 \#3098)}, 1553 mrreviewer = {D. E. Littlewood}, 1554 printedkey = {Fon62} 1555} 1556@article{ Fra82, 1557 author = {Frame, J. S.}, 1558 title = {Recursive computation of tensor power components}, 1559 journal = {Bayreuth. Math. Schr.}, 1560 volume = {10}, 1561 year = {1982}, 1562 pages = {153{\textendash}159}, 1563 fjournal = {Bayreuther Mathematische Schriften}, 1564 issn = {0172-1062}, 1565 mrclass = {20-04 (20C15)}, 1566 mrnumber = {667230 (84a:20001)}, 1567 mrreviewer = {J. McKay}, 1568 printedkey = {Fra82} 1569} 1570@manual{ GAP449, 1571 title = {{GAP{\textendash}Groups, Algorithms, and Programming, 1572 Version 4.4.9}}, 1573 organization = {The GAP{\nobreakspace}Group}, 1574 year = {2006}, 1575 key = {GAP}, 1576 url = {\href {https://www.gap-system.org} 1577 {\texttt{https://www.gap-system.org}}}, 1578 keywords = {groups; *; gap; manual} 1579} 1580@manual{ GAP4, 1581 title = {{GAP{\textendash}Groups, Algorithms, and Programming, 1582 Version 4.4}}, 1583 organization = {The GAP{\nobreakspace}Group}, 1584 year = {2004}, 1585 note = {\href {https://www.gap-system.org} 1586 {\texttt{https://www.gap-system.org}}}, 1587 key = {GAP}, 1588 keywords = {groups; *; gap; manual} 1589} 1590@article{ Gar69, 1591 author = {Garside, F. A.}, 1592 title = {The braid group and other groups}, 1593 journal = {Quart. J. Math. Oxford Ser. (2)}, 1594 volume = {20}, 1595 year = {1969}, 1596 pages = {235{\textendash}254}, 1597 fjournal = {The Quarterly Journal of Mathematics. Oxford. Second 1598 Series}, 1599 mrclass = {55.20}, 1600 mrnumber = {0248801 (40 \#2051)}, 1601 mrreviewer = {L. Neuwirth}, 1602 printedkey = {Gar69} 1603} 1604@article{ Gec94, 1605 author = {Geck, M.}, 1606 title = {On the character values of {I}wahori-{H}ecke algebras 1607 of exceptional type}, 1608 journal = {Proc. London Math. Soc. (3)}, 1609 volume = {68}, 1610 number = {1}, 1611 year = {1994}, 1612 pages = {51{\textendash}76}, 1613 coden = {PLMTAL}, 1614 fjournal = {Proceedings of the London Mathematical Society. Third 1615 Series}, 1616 issn = {0024-6115}, 1617 mrclass = {20F55 (20C15)}, 1618 mrnumber = {1243835 (94i:20073)}, 1619 mrreviewer = {Fran{\c c}ois Digne}, 1620 printedkey = {Gec94} 1621} 1622@book{ Gec95, 1623 author = {Geck, M.}, 1624 title = {Beitr{\"a}ge zur {D}arstellungstheorie von 1625 {I}wahori-{H}ecke {A}lgebren}, 1626 publisher = {Verlag der Augustinus Buchhandlung, Aachen}, 1627 series = {Aachener Beitr{\"a}ge zur Mathematik}, 1628 volume = {11}, 1629 year = {1995}, 1630 printedkey = {Gec95} 1631} 1632@article{ GK96, 1633 author = {Geck, M. and Kim, S.}, 1634 title = {Bases for the {B}ruhat-{C}hevalley order on all finite 1635 {C}oxeter groups}, 1636 journal = {J. Algebra}, 1637 volume = {197}, 1638 number = {1}, 1639 year = {1997}, 1640 pages = {278{\textendash}310}, 1641 coden = {JALGA4}, 1642 fjournal = {Journal of Algebra}, 1643 issn = {0021-8693}, 1644 mrclass = {20F55 (06A07)}, 1645 mrnumber = {1480786 (98k:20066)}, 1646 mrreviewer = {Andrew Mathas}, 1647 printedkey = {GK97} 1648} 1649@article{ GM97, 1650 author = {Geck, M. and Michel, J.}, 1651 title = {``{G}ood'' elements of finite {C}oxeter groups and 1652 representations of {I}wahori-{H}ecke algebras}, 1653 journal = {Proc. London Math. Soc. (3)}, 1654 volume = {74}, 1655 number = {2}, 1656 year = {1997}, 1657 pages = {275{\textendash}305}, 1658 coden = {PLMTAL}, 1659 fjournal = {Proceedings of the London Mathematical Society. Third 1660 Series}, 1661 issn = {0024-6115}, 1662 mrclass = {20F55 (20C20)}, 1663 mrnumber = {1425324 (97i:20050)}, 1664 mrreviewer = {Stephen P. Humphries}, 1665 printedkey = {GM97} 1666} 1667@article{ GP93, 1668 author = {Geck, M. and Pfeiffer, G.}, 1669 title = {On the irreducible characters of {H}ecke algebras}, 1670 journal = {Adv. Math.}, 1671 volume = {102}, 1672 number = {1}, 1673 year = {1993}, 1674 pages = {79{\textendash}94}, 1675 coden = {ADMTA4}, 1676 fjournal = {Advances in Mathematics}, 1677 issn = {0001-8708}, 1678 mrclass = {20C15}, 1679 mrnumber = {1250466 (94m:20018)}, 1680 mrreviewer = {Hiroshi Naruse}, 1681 printedkey = {GP93} 1682} 1683@article{ Chv96, 1684 author = {Geck, M. and Hiss, G. and L{\"u}beck, F. and Malle, G. 1685 and Pfeiffer, G.}, 1686 title = {C{HEVIE}{\textendash}a system for computing and 1687 processing generic character tables}, 1688 journal = {Appl. Algebra Engrg. Comm. Comput.}, 1689 volume = {7}, 1690 number = {3}, 1691 year = {1996}, 1692 pages = {175{\textendash}210}, 1693 note = {Computational methods in Lie theory (Essen, 1994)}, 1694 coden = {AAECEW}, 1695 fjournal = {Applicable Algebra in Engineering, Communication and 1696 Computing}, 1697 issn = {0938-1279}, 1698 mrclass = {20C40 (20C33)}, 1699 mrnumber = {1486215 (99m:20017)}, 1700 printedkey = {GHLMP96} 1701} 1702@phdthesis{ Gla87, 1703 author = {Glasby, S. P.}, 1704 title = {Computational Approaches to the Theory of Finite 1705 Soluble Groups}, 1706 school = {Department of Pure Mathematics, University of Sydney}, 1707 address = {Sydney, Australia}, 1708 year = {1987}, 1709 printedkey = {Gla87}, 1710 type = {Phd thesis} 1711} 1712@article{ GS90, 1713 author = {Glasby, S. P. and Slattery, M. C.}, 1714 title = {Computing intersections and normalizers in soluble 1715 groups}, 1716 journal = {J. Symbolic Comput.}, 1717 volume = {9}, 1718 number = {5-6}, 1719 year = {1990}, 1720 pages = {637{\textendash}651}, 1721 note = {Computational group theory, Part 1}, 1722 fjournal = {Journal of Symbolic Computation}, 1723 issn = {0747-7171}, 1724 mrclass = {20D10}, 1725 mrnumber = {1075428 (91j:20044)}, 1726 mrreviewer = {Patrizia Longobardi}, 1727 printedkey = {GS90} 1728} 1729@book{ GKP90, 1730 author = {Graham, R. L. and Knuth, D. E. and Patashnik, O.}, 1731 title = {Concrete mathematics}, 1732 publisher = {Addison-Wesley Publishing Company Advanced Book 1733 Program}, 1734 address = {Reading, MA}, 1735 year = {1989}, 1736 pages = {xiv+625}, 1737 note = {A foundation for computer science}, 1738 isbn = {0-201-14236-8}, 1739 mrclass = {00A05 (00-01 05-01 68-01 68Rxx)}, 1740 mrnumber = {1001562 (91f:00001)}, 1741 mrreviewer = {Volker Strehl}, 1742 printedkey = {GKP89} 1743} 1744@article{ HalvRam94, 1745 author = {Halverson, T. and Ram, A.}, 1746 title = {Murnaghan-{N}akayama rules for characters of 1747 {I}wahori-{H}ecke algebras of classical type}, 1748 journal = {Trans. Amer. Math. Soc.}, 1749 volume = {348}, 1750 number = {10}, 1751 year = {1996}, 1752 pages = {3967{\textendash}3995}, 1753 coden = {TAMTAM}, 1754 fjournal = {Transactions of the American Mathematical Society}, 1755 issn = {0002-9947}, 1756 mrclass = {20C15}, 1757 mrnumber = {1322951 (96m:20011)}, 1758 mrreviewer = {Fran{\c c}ois Digne}, 1759 printedkey = {HR96} 1760} 1761@book{ Hah83, 1762 editor = {Hahn, T.}, 1763 title = {International tables for crystallography. {V}ol. {A}}, 1764 publisher = {Published for International Union of Crystallography, 1765 Chester}, 1766 year = {1983}, 1767 pages = {xv+854}, 1768 note = {Space-group symmetry}, 1769 isbn = {90-277-1445-2}, 1770 mrclass = {82A60 (00A69 20C35 20H15 82-02)}, 1771 mrnumber = {817988 (87i:82092)}, 1772 mrreviewer = {Vojt{\v e}ch Kopsk{\a'y}}, 1773 printedkey = {Hah83} 1774} 1775@book{ Hah95, 1776 editor = {Hahn, T.}, 1777 booktitle = {International Tables for Crystallography, 1778 \texttt{\symbol{123}}V\texttt{\symbol{125}}ol. 1779 \texttt{\symbol{123}}A\texttt{\symbol{125}}}, 1780 title = {International Tables for Crystallography, {V}ol. {A}}, 1781 publisher = {Kluwer, Dordrecht}, 1782 edition = {4th}, 1783 year = {1995}, 1784 note = {Space-group symmetry}, 1785 printedkey = {Hah95} 1786} 1787@book{ Hall, 1788 author = {Hall Jr., M.}, 1789 title = {The theory of groups}, 1790 publisher = {The Macmillan Co.}, 1791 address = {New York, N.Y.}, 1792 year = {1959}, 1793 pages = {xiii+434}, 1794 mrclass = {20.00}, 1795 mrnumber = {0103215 (21 \#1996)}, 1796 mrreviewer = {R. H. Bruck}, 1797 printedkey = {HJ59} 1798} 1799@book{ HS64, 1800 author = {Hall Jr., M. and Senior, J. K.}, 1801 title = {The groups of order {$2^{n} (n \leq 6)$}}, 1802 publisher = {The Macmillan Co.}, 1803 address = {New York}, 1804 year = {1964}, 1805 pages = {225}, 1806 mrclass = {20.00}, 1807 mrnumber = {0168631 (29 \#5889)}, 1808 mrreviewer = {Michael Rosen}, 1809 printedkey = {JS64} 1810} 1811@article{ Hal36, 1812 author = {Hall, P.}, 1813 title = {The {E}ulerian functions of a group}, 1814 journal = {Quarterly J. Of Mathematics}, 1815 volume = {os-7}, 1816 number = {1}, 1817 year = {1936}, 1818 pages = {134{\textendash}151}, 1819 printedkey = {Hal36} 1820} 1821@phdthesis{ Han88, 1822 author = {Hanrath, W.}, 1823 title = {Irreduzible {D}arstellungen von {R}aumgruppen}, 1824 school = {Rheinisch Westf{\"a}lische Technische Hochschule}, 1825 address = {Aachen, Germany}, 1826 year = {1988}, 1827 printedkey = {Han88}, 1828 type = {Dissertation} 1829} 1830@techreport{ Hav69, 1831 author = {Havas, G.}, 1832 title = {Symbolic and Algebraic Calculation}, 1833 institution = {Basser Department of Computer Science, University of 1834 Sydney}, 1835 number = {89}, 1836 address = {Sydney, Australia}, 1837 year = {1969}, 1838 keywords = {finitely presented groups; simplification; Tietze 1839 transformations}, 1840 printedkey = {Hav69}, 1841 type = {Basser Computing Dept., Technical Report} 1842} 1843@inproceedings{ Hav74b, 1844 author = {Havas, G.}, 1845 editor = {Newman, M. F.}, 1846 booktitle = {Proceedings of the Second International Conference on 1847 the Theory of Groups (Australian Nat. Univ., Canberra, 1848 1973)}, 1849 title = {A {R}eidemeister-{S}chreier program}, 1850 publisher = {Springer}, 1851 series = {Lecture Notes in Math.}, 1852 volume = {372}, 1853 address = {Berlin}, 1854 year = {1974}, 1855 pages = {347{\textendash}356. Lecture Notes in Math., Vol. 372}, 1856 crossref = {Canberra73}, 1857 note = {Held at the Australian National University, Canberra, 1858 August 13{\textendash}24, 1973, With an introduction 1859 by B. H. Neumann, Lecture Notes in Mathematics, Vol. 1860 372}, 1861 mrclass = {20-04}, 1862 mrnumber = {0376827 (51 \#13002)}, 1863 mrreviewer = {F. Levin}, 1864 reviews = {MR 49\#9054, Zbl 282.00012}, 1865 keywords = {finitely presented groups; subgroup presentation; 1866 Reidemeister Schreier (rs); program description}, 1867 printedkey = {Hav74} 1868} 1869@inproceedings{ Hav91, 1870 author = {Havas, G.}, 1871 booktitle = {Proceedings of the International Symposium on Symbolic 1872 and Algebraic Computation (ISSAC'91), Bonn 1991}, 1873 title = {Coset enumeration strategies}, 1874 publisher = {ACM Press}, 1875 year = {1991}, 1876 pages = {191{\textendash}199}, 1877 crossref = {ISSAC91}, 1878 printedkey = {Hav91} 1879} 1880@article{ HM97, 1881 author = {Havas, G. and Majewski, B. S.}, 1882 title = {Integer matrix diagonalization}, 1883 journal = {J. Symbolic Comput.}, 1884 volume = {24}, 1885 number = {3-4}, 1886 year = {1997}, 1887 pages = {399{\textendash}408}, 1888 note = {Computational algebra and number theory (London, 1993)}, 1889 fjournal = {Journal of Symbolic Computation}, 1890 issn = {0747-7171}, 1891 mrclass = {65F30 (65Y20)}, 1892 mrnumber = {1484488 (98g:65039)}, 1893 printedkey = {HM97} 1894} 1895@incollection{ HN80, 1896 author = {Havas, G. and Newman, M. F.}, 1897 editor = {Mennicke, J. L.}, 1898 booktitle = {Burnside groups (Proc. Workshop, Univ. Bielefeld, 1899 Bielefeld, 1977)}, 1900 title = {Application of computers to questions like those of 1901 {B}urnside}, 1902 publisher = {Springer}, 1903 series = {Lecture Notes in Math.}, 1904 volume = {806}, 1905 address = {Berlin}, 1906 year = {1980}, 1907 pages = {211{\textendash}230}, 1908 crossref = {Bielefeld77}, 1909 isbn = {3-540-10006-7}, 1910 mrclass = {20-04 (20F50)}, 1911 mrnumber = {586047 (82d:20002)}, 1912 mrreviewer = {Colin M. Campbell}, 1913 reviews = {MR 81j:20002, Zbl 424.00008}, 1914 keywords = {finitely presentend groups; Burnside groups; nilpotent 1915 quotient}, 1916 printedkey = {HN80} 1917} 1918@incollection{ HKRR84, 1919 author = {Havas, G. and Kenne, P. E. and Richardson, J. S. and 1920 Robertson, E. F.}, 1921 editor = {Atkinson, M. D.}, 1922 booktitle = {Computational group theory (Durham, 1982)}, 1923 title = {A {T}ietze transformation program}, 1924 publisher = {Academic Press}, 1925 address = {London}, 1926 year = {1984}, 1927 pages = {69{\textendash}73}, 1928 crossref = {Durham1982}, 1929 isbn = {0-12-066270-1}, 1930 mrclass = {20F05 (20-04)}, 1931 mrnumber = {760651 (86b:20039)}, 1932 keywords = {finitely presented groups; simplification; Tietze}, 1933 printedkey = {HKRR84} 1934} 1935@article{ HIO89, 1936 author = {Hawkes, T. and Isaacs, I. M. and {\"O}zaydin, M.}, 1937 title = {On the {M}{\"o}bius function of a finite group}, 1938 journal = {Rocky Mountain J. Math.}, 1939 volume = {19}, 1940 number = {4}, 1941 year = {1989}, 1942 pages = {1003{\textendash}1034}, 1943 coden = {RMJMAE}, 1944 fjournal = {The Rocky Mountain Journal of Mathematics}, 1945 issn = {0035-7596}, 1946 mrclass = {20D30}, 1947 mrnumber = {1039540 (90k:20046)}, 1948 mrreviewer = {David Gluck}, 1949 printedkey = {HI{\"O}89} 1950} 1951@misc{ HJLP92, 1952 author = {Hiss, G. and Jansen, C. and Lux, K. and Parker, R. A.}, 1953 title = {Computational {M}odular {C}haracter {T}heory}, 1954 howpublished = {\href {http://www.math.rwth-aachen.de/~MOC/CoMoChaT/} 1955 {\texttt{http://www.math.rwth-aachen.de/}\discretionary 1956 {}{}{}\texttt{\texttt{\symbol{126}}MOC/}\discretionary 1957 {}{}{}\texttt{CoMoChaT/}}}, 1958 printedkey = {HJLP} 1959} 1960@incollection{ Holt94, 1961 author = {Holt, D. F.}, 1962 booktitle = {Geometric and computational perspectives on infinite 1963 groups (Minneapolis, MN and New Brunswick, NJ, 1994)}, 1964 title = {The {W}arwick automatic groups software}, 1965 publisher = {Amer. Math. Soc.}, 1966 series = {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.}, 1967 volume = {25}, 1968 address = {Providence, RI}, 1969 year = {1996}, 1970 pages = {69{\textendash}82}, 1971 mrclass = {20F10 (03D40 20-04 68Q40)}, 1972 mrnumber = {1364180 (96m:20052)}, 1973 mrreviewer = {Sarah E. Rees}, 1974 printedkey = {Hol96} 1975} 1976@article{ HLOR96a, 1977 author = {Holt, D. F. and Leedham-Green, C. R. and O'Brien, E. 1978 A. and Rees, S.}, 1979 title = {Computing matrix group decompositions with respect to 1980 a normal subgroup}, 1981 journal = {J. Algebra}, 1982 volume = {184}, 1983 number = {3}, 1984 year = {1996}, 1985 pages = {818{\textendash}838}, 1986 coden = {JALGA4}, 1987 fjournal = {Journal of Algebra}, 1988 issn = {0021-8693}, 1989 mrclass = {20C40 (20B40)}, 1990 mrnumber = {1407872 (97m:20021)}, 1991 mrreviewer = {Wolfgang Lempken}, 1992 printedkey = {HLOR96} 1993} 1994@article{ HLOR96b, 1995 author = {Holt, D. F. and Leedham-Green, C. R. and O'Brien, E. 1996 A. and Rees, S.}, 1997 title = {Testing matrix groups for primitivity}, 1998 journal = {J. Algebra}, 1999 volume = {184}, 2000 number = {3}, 2001 year = {1996}, 2002 pages = {795{\textendash}817}, 2003 coden = {JALGA4}, 2004 fjournal = {Journal of Algebra}, 2005 issn = {0021-8693}, 2006 mrclass = {20C40 (20B40)}, 2007 mrnumber = {1407871 (97m:20020)}, 2008 mrreviewer = {Wolfgang Lempken}, 2009 printedkey = {HLOR96} 2010} 2011@book{ HP89, 2012 author = {Holt, D. F. and Plesken, W.}, 2013 title = {Perfect groups}, 2014 publisher = {The Clarendon Press Oxford University Press}, 2015 series = {Oxford Mathematical Monographs}, 2016 address = {New York}, 2017 year = {1989}, 2018 pages = {xii+364}, 2019 note = {With an appendix by W. Hanrath, Oxford Science 2020 Publications}, 2021 isbn = {0-19-853559-7}, 2022 mrclass = {20D05 (20F05)}, 2023 mrnumber = {1025760 (91c:20029)}, 2024 mrreviewer = {M. Ram Murty}, 2025 printedkey = {HP89} 2026} 2027@article{ HR94, 2028 author = {Holt, D. F. and Rees, S.}, 2029 title = {Testing modules for irreducibility}, 2030 journal = {J. Austral. Math. Soc. Ser. A}, 2031 volume = {57}, 2032 number = {1}, 2033 year = {1994}, 2034 pages = {1{\textendash}16}, 2035 coden = {JAMADS}, 2036 fjournal = {Australian Mathematical Society. Journal. Series A. 2037 Pure Mathematics and Statistics}, 2038 issn = {0263-6115}, 2039 mrclass = {20C40}, 2040 mrnumber = {1279282 (95e:20023)}, 2041 mrreviewer = {Herbert Pahlings}, 2042 printedkey = {HR94} 2043} 2044@book{ HEO05, 2045 author = {Holt, D. F. and Eick, B. and O'Brien, E. A.}, 2046 title = {Handbook of Computational Group Theory}, 2047 publisher = {Chapman {\nobreakspace} Hall/CRC}, 2048 series = {Discrete mathematics and its applications}, 2049 address = {New York}, 2050 year = {2005}, 2051 isbn = {1-584-88372-3}, 2052 printedkey = {HEO05} 2053} 2054@incollection{ HR99a, 2055 author = {Havas, G. and Ramsay, C.}, 2056 editor = {Kantor, W. M. and Seress, {\a'A}.}, 2057 booktitle = {Groups and computation, III (Columbus, OH, 1999)}, 2058 title = {Experiments in coset enumeration}, 2059 publisher = {de Gruyter}, 2060 series = {Ohio State Univ. Math. Res. Inst. Publ.}, 2061 volume = {8}, 2062 address = {Berlin}, 2063 year = {2001}, 2064 pages = {183{\textendash}192}, 2065 crossref = {DIMACS3}, 2066 isbn = {3-11-016721-2}, 2067 mrclass = {20F05 (20-04)}, 2068 mrnumber = {1829479 (2002e:20064)}, 2069 mrreviewer = {Sarah E. Rees}, 2070 printedkey = {HR01} 2071} 2072@article{ HR99b, 2073 author = {Havas, G. and Ramsay, C.}, 2074 title = {Proving a group trivial made easy: a case study in 2075 coset enumeration}, 2076 journal = {Bull. Austral. Math. Soc.}, 2077 volume = {62}, 2078 number = {1}, 2079 year = {2000}, 2080 pages = {105{\textendash}118}, 2081 coden = {ALNBAB}, 2082 fjournal = {Bulletin of the Australian Mathematical Society}, 2083 issn = {0004-9727}, 2084 mrclass = {20F05}, 2085 mrnumber = {1775892 (2002j:20061)}, 2086 mrreviewer = {E. F. Robertson}, 2087 printedkey = {HR00} 2088} 2089@book{ Howie76, 2090 author = {Howie, J. M.}, 2091 title = {An introduction to semigroup theory}, 2092 publisher = {Academic Press [Harcourt Brace Jovanovich Publishers]}, 2093 address = {London}, 2094 year = {1976}, 2095 pages = {x+272}, 2096 note = {L.M.S. Monographs, No. 7}, 2097 mrclass = {20MXX}, 2098 mrnumber = {0466355 (57 \#6235)}, 2099 mrreviewer = {T. E. Hall}, 2100 printedkey = {How76} 2101} 2102@mastersthesis{ Hulpke93, 2103 author = {Hulpke, A.}, 2104 title = {{Zur Berechnung von Charaktertafeln}}, 2105 school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch 2106 Westf{\"a}lische Technische Hochschule}, 2107 year = {1993}, 2108 printedkey = {Hul93}, 2109 type = {Diplomarbeit} 2110} 2111@phdthesis{ Hulpke96, 2112 author = {Hulpke, A.}, 2113 title = {Konstruktion transitiver {P}ermutationsgruppen}, 2114 publisher = {Verlag der Augustinus Buchhandlung, Aachen}, 2115 school = {Rheinisch Westf{\"a}lische Technische Hochschule}, 2116 address = {Aachen, Germany}, 2117 year = {1996}, 2118 printedkey = {Hul96}, 2119 type = {Dissertation} 2120} 2121@inproceedings{ Hulpke98, 2122 author = {Hulpke, A.}, 2123 booktitle = {Proceedings of the 1998 International Symposium on 2124 Symbolic and Algebraic Computation (Rostock)}, 2125 title = {Computing normal subgroups}, 2126 publisher = {ACM}, 2127 address = {New York}, 2128 year = {1998}, 2129 pages = {194{\textendash}198 (electronic)}, 2130 crossref = {ISSAC98}, 2131 note = {Chairman: Volker Weispfenning and Barry Trager}, 2132 isbn = {1-58113-002-3}, 2133 location = {Rostock, Germany}, 2134 mrclass = {20-04 (68W30)}, 2135 mrnumber = {1805183}, 2136 source = {ACM Order No.: 505980, ACM member price \$25}, 2137 printedkey = {Hul98} 2138} 2139@article{ Hulpke99, 2140 author = {Hulpke, A.}, 2141 title = {Computing subgroups invariant under a set of 2142 automorphisms}, 2143 journal = {J. Symbolic Comput.}, 2144 volume = {27}, 2145 number = {4}, 2146 year = {1999}, 2147 pages = {415{\textendash}427}, 2148 fjournal = {Journal of Symbolic Computation}, 2149 issn = {0747-7171}, 2150 mrclass = {20-04 (20D30)}, 2151 mrnumber = {1681348 (2000a:20001)}, 2152 mrreviewer = {D. F. Holt}, 2153 printedkey = {Hul99} 2154} 2155@article{ HulpkeClasses, 2156 author = {Hulpke, A.}, 2157 title = {Conjugacy classes in finite permutation groups via 2158 homomorphic images}, 2159 journal = {Math. Comp.}, 2160 volume = {69}, 2161 number = {232}, 2162 year = {2000}, 2163 pages = {1633{\textendash}1651}, 2164 coden = {MCMPAF}, 2165 fjournal = {Mathematics of Computation}, 2166 issn = {0025-5718}, 2167 mrclass = {20B40}, 2168 mrnumber = {1659847 (2001a:20006)}, 2169 mrreviewer = {Alberto Delgado}, 2170 printedkey = {Hul00} 2171} 2172@article{ HulpkeQuot, 2173 author = {Hulpke, A.}, 2174 title = {Representing subgroups of finitely presented groups by 2175 quotient subgroups}, 2176 journal = {Experiment. Math.}, 2177 volume = {10}, 2178 number = {3}, 2179 year = {2001}, 2180 pages = {369{\textendash}381}, 2181 fjournal = {Experimental Mathematics}, 2182 issn = {1058-6458}, 2183 mrclass = {20F05 (20C34 20C40 68W30)}, 2184 mrnumber = {1917425 (2003i:20049)}, 2185 mrreviewer = {Dmitrii V. Pasechnik}, 2186 printedkey = {Hul01} 2187} 2188@article{ HulpkeTG, 2189 author = {Hulpke, A.}, 2190 title = {Constructing transitive permutation groups}, 2191 journal = {J. Symbolic Comput.}, 2192 volume = {39}, 2193 number = {1}, 2194 year = {2005}, 2195 pages = {1{\textendash}30}, 2196 fjournal = {Journal of Symbolic Computation}, 2197 issn = {0747-7171}, 2198 mrclass = {20B10 (20B35)}, 2199 mrnumber = {2168238 (2006e:20004)}, 2200 mrreviewer = {J. Quistorff}, 2201 printedkey = {Hul05} 2202} 2203@book{ Hum72, 2204 author = {Humphreys, J. E.}, 2205 title = {Introduction to {L}ie algebras and representation 2206 theory}, 2207 publisher = {Springer-Verlag}, 2208 address = {New York}, 2209 year = {1972}, 2210 pages = {xii+169}, 2211 note = {Graduate Texts in Mathematics, Vol. 9}, 2212 mrclass = {17BXX}, 2213 mrnumber = {0323842 (48 \#2197)}, 2214 mrreviewer = {F. W. Lemire}, 2215 printedkey = {Hum72} 2216} 2217@book{ Hum78, 2218 author = {Humphreys, J. E.}, 2219 title = {Introduction to {L}ie algebras and representation 2220 theory}, 2221 publisher = {Springer-Verlag}, 2222 series = {Graduate Texts in Mathematics}, 2223 volume = {9}, 2224 address = {New York}, 2225 year = {1978}, 2226 pages = {xii+171}, 2227 note = {Second printing, revised}, 2228 isbn = {0-387-90053-5}, 2229 mrclass = {17Bxx}, 2230 mrnumber = {499562 (81b:17007)}, 2231 mrreviewer = {I. P. Shestakov}, 2232 printedkey = {Hum78} 2233} 2234@book{ Hum90, 2235 author = {Humphreys, J. E.}, 2236 title = {Reflection groups and {C}oxeter groups}, 2237 publisher = {Cambridge University Press}, 2238 series = {Cambridge Studies in Advanced Mathematics}, 2239 volume = {29}, 2240 address = {Cambridge}, 2241 year = {1990}, 2242 pages = {xii+204}, 2243 isbn = {0-521-37510-X}, 2244 mrclass = {20-02 (20F32 20F55 20G15 20H15)}, 2245 mrnumber = {1066460 (92h:20002)}, 2246 mrreviewer = {Louis Solomon}, 2247 printedkey = {Hum90} 2248} 2249@book{ Hum90, 2250 author = {Humphreys, J. E.}, 2251 title = {Reflection groups and {C}oxeter groups}, 2252 publisher = {Cambridge University Press}, 2253 series = {Cambridge Studies in Advanced Mathematics}, 2254 volume = {29}, 2255 address = {Cambridge}, 2256 year = {1990}, 2257 pages = {xii+204}, 2258 isbn = {0-521-37510-X}, 2259 mrclass = {20-02 (20F32 20F55 20G15 20H15)}, 2260 mrnumber = {1066460 (92h:20002)}, 2261 mrreviewer = {Louis Solomon}, 2262 printedkey = {Hum90} 2263} 2264@book{ Hup67, 2265 author = {Huppert, B.}, 2266 title = {Endliche {G}ruppen. {I}}, 2267 publisher = {Springer-Verlag}, 2268 series = {Die Grundlehren der Mathematischen Wissenschaften, 2269 Band 134}, 2270 address = {Berlin}, 2271 year = {1967}, 2272 pages = {xii+793}, 2273 mrclass = {20.25}, 2274 mrnumber = {0224703 (37 \#302)}, 2275 mrreviewer = {J. H. Walter}, 2276 printedkey = {Hup67} 2277} 2278@book{ Hup82, 2279 author = {Huppert, B. and Blackburn, N.}, 2280 title = {Finite groups. {II}}, 2281 publisher = {Springer-Verlag}, 2282 series = {Grundlehren Math. Wiss.}, 2283 volume = {242}, 2284 address = {Berlin}, 2285 year = {1982}, 2286 pages = {xiii+531}, 2287 isbn = {3-540-10632-4}, 2288 mrclass = {20-02 (20Dxx)}, 2289 mrnumber = {650245 (84i:20001a)}, 2290 printedkey = {HB82} 2291} 2292@book{ Hup98, 2293 author = {Huppert, B.}, 2294 title = {Character theory of finite groups}, 2295 publisher = {Walter de Gruyter \& Co.}, 2296 series = {de Gruyter Expositions in Mathematics}, 2297 volume = {25}, 2298 address = {Berlin}, 2299 year = {1998}, 2300 pages = {vi+618}, 2301 isbn = {3-11-015421-8}, 2302 mrclass = {20C15 (20C05 20C10)}, 2303 mrnumber = {1645304 (99j:20011)}, 2304 mrreviewer = {Gerhard Hiss}, 2305 printedkey = {Hup98} 2306} 2307@book{ Isa76, 2308 author = {Isaacs, I. M.}, 2309 title = {Character theory of finite groups}, 2310 publisher = {Academic Press [Harcourt Brace Jovanovich Publishers]}, 2311 address = {New York}, 2312 year = {1976}, 2313 pages = {xii+303}, 2314 note = {Pure and Applied Mathematics, No. 69}, 2315 isbn = {0-12-374550-0}, 2316 mrclass = {20-02}, 2317 mrnumber = {0460423 (57 \#417)}, 2318 mrreviewer = {Stephen D. Smith}, 2319 printedkey = {Isa76} 2320} 2321@article{ IshibashiEarnest94, 2322 author = {Ishibashi, H. and Earnest, A. G.}, 2323 title = {Two-element generation of orthogonal groups over 2324 finite fields}, 2325 journal = {J. Algebra}, 2326 volume = {165}, 2327 number = {1}, 2328 year = {1994}, 2329 pages = {164{\textendash}171}, 2330 coden = {JALGA4}, 2331 fjournal = {Journal of Algebra}, 2332 issn = {0021-8693}, 2333 mrclass = {20G40 (20F05)}, 2334 mrnumber = {1272584 (95b:20069)}, 2335 mrreviewer = {Jia-Chen Ye}, 2336 printedkey = {IE94} 2337} 2338@article{ MR1398123, 2339 author = {Ishibashi, H. and Earnest, A. G.}, 2340 title = {Addendum: ``{T}wo-element generation of orthogonal 2341 groups over finite fields'' [{J}. {A}lgebra {\bf 165} 2342 (1994), no. 1, 164{\textendash}171; {MR}1272584 2343 (95b:20069)]}, 2344 journal = {J. Algebra}, 2345 volume = {182}, 2346 number = {3}, 2347 year = {1996}, 2348 pages = {805}, 2349 coden = {JALGA4}, 2350 fjournal = {Journal of Algebra}, 2351 issn = {0021-8693}, 2352 mrclass = {20G40 (20F05)}, 2353 mrnumber = {1398123 (97d:20061)}, 2354 printedkey = {IE96} 2355} 2356@article{ MR1305274, 2357 author = {Ishibashi, H. and Earnest, A. G.}, 2358 title = {Erratum: ``{T}wo-element generation of orthogonal 2359 groups over finite fields'' [{J}. {A}lgebra {\bf 165} 2360 (1994), no. 1, 164{\textendash}171; {MR}1272584 2361 (95b:20069)]}, 2362 journal = {J. Algebra}, 2363 volume = {170}, 2364 number = {3}, 2365 year = {1994}, 2366 pages = {1035}, 2367 coden = {JALGA4}, 2368 fjournal = {Journal of Algebra}, 2369 issn = {0021-8693}, 2370 mrclass = {20G40 (20F05)}, 2371 mrnumber = {1305274 (95h:20062)}, 2372 printedkey = {IE94} 2373} 2374@book{ JLPW95, 2375 author = {Jansen, C. and Lux, K. and Parker, R. and Wilson, R.}, 2376 title = {An atlas of {B}rauer characters}, 2377 publisher = {The Clarendon Press Oxford University Press}, 2378 series = {London Mathematical Society Monographs. New Series}, 2379 volume = {11}, 2380 address = {New York}, 2381 year = {1995}, 2382 pages = {xviii+327}, 2383 note = {Appendix 2 by T. Breuer and S. Norton, Oxford Science 2384 Publications}, 2385 isbn = {0-19-851481-6}, 2386 mrclass = {20C20 (20-00 20D06 20D08)}, 2387 mrnumber = {1367961 (96k:20016)}, 2388 mrreviewer = {J. L. Alperin}, 2389 printedkey = {JLPW95} 2390} 2391@book{ Joh97, 2392 author = {Johnson, D. L.}, 2393 title = {Presentations of groups}, 2394 publisher = {Cambridge University Press}, 2395 edition = {Second}, 2396 series = {London Mathematical Society Student Texts}, 2397 volume = {15}, 2398 address = {Cambridge}, 2399 year = {1997}, 2400 pages = {xii+216}, 2401 isbn = {0-521-58542-2}, 2402 mrclass = {20-01 (20F05)}, 2403 mrnumber = {1472735 (98e:20001)}, 2404 printedkey = {Joh97} 2405} 2406@mastersthesis{ Kaup92, 2407 author = {Kaup, A.}, 2408 title = {Gitterbasen und {C}haraktere endlicher {G}ruppen}, 2409 school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch 2410 Westf{\"a}lische Technische Hochschule}, 2411 address = {Aachen, Germany}, 2412 year = {1992}, 2413 printedkey = {Kau92}, 2414 type = {Diplomarbeit} 2415} 2416@article{ KL79, 2417 author = {Kazhdan, D. and Lusztig, G.}, 2418 title = {Representations of {C}oxeter groups and {H}ecke 2419 algebras}, 2420 journal = {Invent. Math.}, 2421 volume = {53}, 2422 number = {2}, 2423 year = {1979}, 2424 pages = {165{\textendash}184}, 2425 coden = {INVMBH}, 2426 fjournal = {Inventiones Mathematicae}, 2427 issn = {0020-9910}, 2428 mrclass = {20H15 (17B35 20G05 22E47)}, 2429 mrnumber = {560412 (81j:20066)}, 2430 mrreviewer = {Vinay V. Deodhar}, 2431 printedkey = {KL79} 2432} 2433@article{ KLM01, 2434 author = {Kemper, G. and L{\"u}beck, F. and Magaard, K.}, 2435 title = {Matrix generators for the {R}ee groups {${}^2G_2(q)$}}, 2436 journal = {Comm. Algebra}, 2437 volume = {29}, 2438 number = {1}, 2439 year = {2001}, 2440 pages = {407{\textendash}413}, 2441 coden = {COALDM}, 2442 fjournal = {Communications in Algebra}, 2443 issn = {0092-7872}, 2444 mrclass = {20C33 (20D06)}, 2445 mrnumber = {1842506 (2002e:20025)}, 2446 printedkey = {KLM01} 2447} 2448@book{ Ker91, 2449 author = {Kerber, A.}, 2450 title = {Algebraic combinatorics via finite group actions}, 2451 publisher = {Bibliographisches Institut}, 2452 address = {Mannheim}, 2453 year = {1991}, 2454 pages = {436}, 2455 isbn = {3-411-14521-8}, 2456 mrclass = {05E10 (20C30)}, 2457 mrnumber = {1115208 (92k:05130)}, 2458 mrreviewer = {A. O. Morris}, 2459 printedkey = {Ker91} 2460} 2461@article{ KimmerleLyonsSandlingTeague90, 2462 author = {Kimmerle, W. and Lyons, R. and Sandling, R. and 2463 Teague, D. N.}, 2464 title = {Composition factors from the group ring and {A}rtin's 2465 theorem on orders of simple groups}, 2466 journal = {Proc. London Math. Soc. (3)}, 2467 volume = {60}, 2468 number = {1}, 2469 year = {1990}, 2470 pages = {89--122}, 2471 coden = {PLMTAL}, 2472 fjournal = {Proceedings of the London Mathematical Society. Third 2473 Series}, 2474 issn = {0024-6115}, 2475 mrclass = {20D06 (20C05 20D60)}, 2476 mrnumber = {1023806 (91c:20030)}, 2477 mrreviewer = {P. Fong}, 2478 printedkey = {KLST90} 2479} 2480@book{ KleidmanLiebeck90, 2481 author = {Kleidman, P. and Liebeck, M.}, 2482 title = {The subgroup structure of the finite classical groups}, 2483 publisher = {Cambridge University Press}, 2484 series = {London Mathematical Society Lecture Note Series}, 2485 volume = {129}, 2486 address = {Cambridge}, 2487 year = {1990}, 2488 pages = {x+303}, 2489 isbn = {0-521-35949-X}, 2490 mrclass = {20-02 (20D06 20G40)}, 2491 mrnumber = {1057341 (91g:20001)}, 2492 mrreviewer = {R. W. Carter}, 2493 printedkey = {KL90} 2494} 2495@article{ Klimyk66, 2496 author = {Klimyk, A. U.}, 2497 title = {Decomposition of the direct product of irreducible 2498 representations of semisimple {L}ie algebras into 2499 irreducible representations}, 2500 journal = {Ukrain. Mat. {\v Z}.}, 2501 volume = {18}, 2502 number = {5}, 2503 year = {1966}, 2504 pages = {19{\textendash}27}, 2505 fjournal = {Akademiya Nauk Ukrainsko{\u\i} SSR. Institut 2506 Matematiki. Ukrainski{\u\i} Matematicheski{\u\i} 2507 Zhurnal}, 2508 issn = {0041-6053}, 2509 mrclass = {17.30 (22.60)}, 2510 mrnumber = {0206169 (34 \#5991)}, 2511 mrreviewer = {Renzo Cirelli}, 2512 printedkey = {Kli66} 2513} 2514@incollection{ Klimyk68, 2515 author = {Klimyk, A. U.}, 2516 booktitle = {American {M}athematical {S}ociety {T}ranslations. 2517 {S}eries 2}, 2518 title = {Decomposition of a direct product of irreducible 2519 representations of a semisimple {L}ie algebra into 2520 irreducible representations}, 2521 publisher = {American Mathematical Society}, 2522 volume = {76}, 2523 address = {Providence, R.I.}, 2524 year = {1968}, 2525 pages = {63{\textendash}73}, 2526 printedkey = {Kli68} 2527} 2528@book{ TACP2, 2529 author = {Knuth, D. E.}, 2530 title = {The Art of Computer Programming, Volume 2: 2531 {S}eminumerical Algorithms}, 2532 publisher = {Addison-Wesley}, 2533 edition = {third}, 2534 year = {1998}, 2535 printedkey = {Knu98} 2536} 2537@book{ MR0286318, 2538 author = {Knuth, D. E.}, 2539 title = {The art of computer programming. {V}ol. 2: 2540 {S}eminumerical algorithms}, 2541 publisher = {Addison-Wesley Publishing Co., Reading, 2542 Mass.-London-Don Mills, Ont}, 2543 year = {1969}, 2544 pages = {xi+624}, 2545 mrclass = {68.00 (65.00)}, 2546 mrnumber = {0286318 (44 \#3531)}, 2547 mrreviewer = {M. Muller}, 2548 printedkey = {Knu69} 2549} 2550@book{ Lau82, 2551 author = {Laue, R.}, 2552 title = {Zur {K}onstruktion und {K}lassifikation endlicher 2553 aufl{\"o}sbarer {G}ruppen}, 2554 journal = {Bayreuth. Math. Schr.}, 2555 publisher = {Universit{\"a}t Bayreuth}, 2556 number = {9}, 2557 year = {1982}, 2558 pages = {ii+304}, 2559 notes = {PAGES: ii + 304, 1 correction sheet, Earlier version: 2560 Habilitationsschrift, RWTH Aachen, 1980}, 2561 fjournal = {Bayreuther Mathematische Schriften}, 2562 issn = {0172-1062}, 2563 mrclass = {20D10 (20-02)}, 2564 mrnumber = {651224 (84e:20018)}, 2565 mrreviewer = {T. O. Hawkes}, 2566 reviews = {MR 84e:20018 (T.{\nobreakspace}O. Hawkes), Zbl 2567 479.20010 (H. Heineken)}, 2568 keywords = {polycyclic groups;;; classification}, 2569 printedkey = {Lau82} 2570} 2571@inproceedings{ SOGOS, 2572 author = {Laue, R. and Neub{\"u}ser, J. and Schoenwaelder, U.}, 2573 editor = {Atkinson, M. D.}, 2574 booktitle = {Computational group theory (Durham, 1982)}, 2575 title = {Algorithms for finite soluble groups and the {SOGOS} 2576 system}, 2577 publisher = {Academic Press}, 2578 address = {London}, 2579 year = {1984}, 2580 pages = {105{\textendash}135}, 2581 crossref = {Durham1982}, 2582 isbn = {0-12-066270-1}, 2583 mrclass = {20D10 (20-04 20D15 20F05 68Q40)}, 2584 mrnumber = {760654 (86h:20023)}, 2585 mrreviewer = {Gerhard Pazderski}, 2586 reviews = {MR 86h:20023 (Gerhard Pazderski), Zbl 547:20012 (E. 2587 Kommissartschik)}, 2588 keywords = {polycyclic groups;;; algorithm description}, 2589 printedkey = {LNS84} 2590} 2591@book{ LeC86, 2592 author = {LeChenadec, P.}, 2593 title = {Canonical forms in finitely presented algebras}, 2594 publisher = {Pitman Publishing Ltd.}, 2595 series = {Research Notes in Theoretical Computer Science}, 2596 address = {London}, 2597 year = {1986}, 2598 pages = {xii+201}, 2599 isbn = {0-273-08721-5}, 2600 mrclass = {68Q50 (03B35 03D03 08B05 20F05 68Q40)}, 2601 mrnumber = {840218 (88b:68117)}, 2602 mrreviewer = {Friedrich Otto}, 2603 printedkey = {LeC86} 2604} 2605@article{ LS90, 2606 author = {Leedham-Green, C. R. and Soicher, L. H.}, 2607 title = {Collection from the left and other strategies}, 2608 journal = {J. Symbolic Comput.}, 2609 volume = {9}, 2610 number = {5-6}, 2611 year = {1990}, 2612 pages = {665{\textendash}675}, 2613 note = {Computational group theory, Part 1}, 2614 fjournal = {Journal of Symbolic Computation}, 2615 issn = {0747-7171}, 2616 mrclass = {20D10 (68Q25)}, 2617 mrnumber = {1075430 (92b:20021)}, 2618 mrreviewer = {M. Greendlinger}, 2619 printedkey = {LS90} 2620} 2621@article{ LLL82, 2622 author = {Lenstra, A. K. and Lenstra Jr., H. W. and Lov{\a'a}sz, 2623 L.}, 2624 title = {Factoring polynomials with rational coefficients}, 2625 journal = {Math. Ann.}, 2626 volume = {261}, 2627 number = {4}, 2628 year = {1982}, 2629 pages = {515{\textendash}534}, 2630 key = {LLL82}, 2631 coden = {MAANA3}, 2632 fjournal = {Mathematische Annalen}, 2633 issn = {0025-5831}, 2634 mrclass = {12-04 (12A20 68C20 68C25)}, 2635 mrnumber = {682664 (84a:12002)}, 2636 mrreviewer = {Daniel Lazard} 2637} 2638@article{ Leo80, 2639 author = {Leon, J. S.}, 2640 title = {On an algorithm for finding a base and a strong 2641 generating set for a group given by generating 2642 permutations}, 2643 journal = {Math. Comp.}, 2644 volume = {35}, 2645 number = {151}, 2646 year = {1980}, 2647 pages = {941{\textendash}974}, 2648 coden = {MCMPAF}, 2649 fjournal = {Mathematics of Computation}, 2650 issn = {0025-5718}, 2651 mrclass = {20-04 (20F05)}, 2652 mrnumber = {572868 (82i:20004)}, 2653 mrreviewer = {Colin M. Campbell}, 2654 reviews = {MR 82i:20004 (Colin M. Campbell), Zbl 444.20001 (J. 2655 Neub{\"u}ser)}, 2656 keywords = {permutation groups; stabilizer chain, base and strong 2657 generating set of; Schreier Sims, Todd Coxeter (tc)}, 2658 printedkey = {Leo80} 2659} 2660@article{ Leon91, 2661 author = {Leon, J. S.}, 2662 title = {Permutation group algorithms based on partitions. {I}. 2663 {T}heory and algorithms}, 2664 journal = {J. Symbolic Comput.}, 2665 volume = {12}, 2666 number = {4-5}, 2667 year = {1991}, 2668 pages = {533{\textendash}583}, 2669 note = {Computational group theory, Part 2}, 2670 fjournal = {Journal of Symbolic Computation}, 2671 issn = {0747-7171}, 2672 mrclass = {68Q40 (20B40)}, 2673 mrnumber = {1146516 (93c:68043)}, 2674 mrreviewer = {Jean Moulin Ollagnier}, 2675 printedkey = {Leo91} 2676} 2677@manual{ Lin93, 2678 author = {Linton, S.}, 2679 title = {Vector Enumeration Programs, version 3}, 2680 year = {1993}, 2681 printedkey = {Lin93} 2682} 2683@phdthesis{ Lo, 2684 author = {Lo, E.}, 2685 title = {A Polycyclic Quotient Algorithm}, 2686 school = {Rutgers University}, 2687 year = {1996}, 2688 printedkey = {Lo96} 2689} 2690@misc{ L03, 2691 author = {L{\"u}beck, F.}, 2692 title = {Conway polynomials for finite fields}, 2693 year = {2003}, 2694 howpublished = {\href 2695 {http://www.math.rwth-aachen.de:8001/~Frank.Luebeck/data/ConwayPol} 2696 {\texttt{http://www.math.rwth-aachen.de:8001/}\discretionary 2697 {}{}{}\texttt{\texttt{\symbol{126}}Frank.Luebeck/}\discretionary 2698 {}{}{}\texttt{data/}\discretionary 2699 {}{}{}\texttt{ConwayPol}}}, 2700 printedkey = {L{\"u}b03} 2701} 2702@article{ luksrakocziwright97, 2703 author = {Luks, E. M. and R{\a'a}k{\a'o}czi, F. and Wright, C. 2704 R. B.}, 2705 title = {Some algorithms for nilpotent permutation groups}, 2706 journal = {J. Symbolic Comput.}, 2707 volume = {23}, 2708 number = {4}, 2709 year = {1997}, 2710 pages = {335{\textendash}354}, 2711 fjournal = {Journal of Symbolic Computation}, 2712 issn = {0747-7171}, 2713 mrclass = {68Q40 (20B05)}, 2714 mrnumber = {1445430 (97m:68113)}, 2715 printedkey = {LRW97} 2716} 2717@article{ Lus81, 2718 author = {Lusztig, G.}, 2719 title = {On a theorem of {B}enson and {C}urtis}, 2720 journal = {J. Algebra}, 2721 volume = {71}, 2722 number = {2}, 2723 year = {1981}, 2724 pages = {490{\textendash}498}, 2725 coden = {JALGA4}, 2726 fjournal = {Journal of Algebra}, 2727 issn = {0021-8693}, 2728 mrclass = {20G05 (14L30)}, 2729 mrnumber = {630610 (83a:20053)}, 2730 mrreviewer = {S. I. Gel{\ensuremath{'}}fand}, 2731 printedkey = {Lus81} 2732} 2733@book{ Lus85, 2734 author = {Lusztig, G.}, 2735 title = {Characters of reductive groups over a finite field}, 2736 publisher = {Princeton University Press}, 2737 series = {Annals of Mathematics Studies}, 2738 volume = {107}, 2739 address = {Princeton, NJ}, 2740 year = {1984}, 2741 pages = {xxi+384}, 2742 isbn = {0-691-08350-9; 0-691-08351-7}, 2743 mrclass = {20G05 (14L20 20C15)}, 2744 mrnumber = {742472 (86j:20038)}, 2745 mrreviewer = {Bhama Srinivasan}, 2746 printedkey = {Lus84} 2747} 2748@inproceedings{ LP91, 2749 author = {Lux, K. and Pahlings, H.}, 2750 editor = {Michler, G. O. and Ringel, C. M.}, 2751 booktitle = {Representation theory of finite groups and 2752 finite-dimensional algebras (Bielefeld, 1991)}, 2753 title = {Computational aspects of representation theory of 2754 finite groups}, 2755 publisher = {Birkh{\"a}user}, 2756 series = {Progr. Math.}, 2757 volume = {95}, 2758 address = {Basel}, 2759 year = {1991}, 2760 pages = {37{\textendash}64}, 2761 crossref = {MR91}, 2762 isbn = {3-7643-2604-2}, 2763 mrclass = {20C40}, 2764 mrnumber = {1112157 (92g:20025)}, 2765 mrreviewer = {Wolfgang Knapp}, 2766 printedkey = {LP91} 2767} 2768@article{ Mac81, 2769 author = {Macdonald, I. G.}, 2770 title = {Numbers of conjugacy classes in some finite classical 2771 groups}, 2772 journal = {Bull. Austral. Math. Soc.}, 2773 volume = {23}, 2774 number = {1}, 2775 year = {1981}, 2776 pages = {23{\textendash}48}, 2777 coden = {ALNBAB}, 2778 fjournal = {Bulletin of the Australian Mathematical Society}, 2779 issn = {0004-9727}, 2780 mrclass = {20G40}, 2781 mrnumber = {615131 (82j:20092)}, 2782 mrreviewer = {Naohisa Shimomura}, 2783 printedkey = {Mac81} 2784} 2785@article{ MV97, 2786 author = {Mahajan, M. and Vinay, V.}, 2787 title = {Determinant: combinatorics, algorithms, and complexity}, 2788 journal = {Chicago J. Theoret. Comput. Sci.}, 2789 year = {1997}, 2790 pages = {Article 5, 26 pp. (electronic)}, 2791 fjournal = {Chicago Journal of Theoretical Computer Science}, 2792 issn = {1073-0486}, 2793 mrclass = {15A15 (05C50 68Q15 68Q22 68R05)}, 2794 mrnumber = {1484546 (98m:15016)}, 2795 mrreviewer = {H.-J. Hoehnke}, 2796 printedkey = {MV97} 2797} 2798@inproceedings{ Mal96, 2799 author = {Malle, G.}, 2800 editor = {Cabanes, M.}, 2801 booktitle = {Finite reductive groups (Luminy, 1994)}, 2802 title = {Degr{\a'e}s relatifs des alg{\a`e}bres cyclotomiques 2803 associ{\a'e}es aux groupes de r{\a'e}flexions 2804 complexes de dimension deux}, 2805 publisher = {Birkh{\"a}user Boston}, 2806 series = {Progr. Math.}, 2807 volume = {141}, 2808 address = {Boston, MA}, 2809 year = {1997}, 2810 pages = {311{\textendash}332}, 2811 crossref = {Luminy94}, 2812 note = {Related structures and representations}, 2813 isbn = {0-8176-3885-7}, 2814 mrclass = {20C99 (20F55 20G40)}, 2815 mrnumber = {1429878 (98h:20019)}, 2816 mrreviewer = {Fran{\c c}ois Digne}, 2817 printedkey = {Mal97} 2818} 2819@article{ MS85, 2820 author = {Soicher, L. and McKay, J.}, 2821 title = {Computing {G}alois groups over the rationals}, 2822 journal = {J. Number Theory}, 2823 volume = {20}, 2824 number = {3}, 2825 year = {1985}, 2826 pages = {273{\textendash}281}, 2827 coden = {JNUTA9}, 2828 fjournal = {Journal of Number Theory}, 2829 issn = {0022-314X}, 2830 mrclass = {12-04 (11R32 11Y40)}, 2831 mrnumber = {797178 (87a:12002)}, 2832 mrreviewer = {Hale F. Trotter}, 2833 printedkey = {SM85} 2834} 2835@article{ McL77, 2836 author = {McLain, D. H.}, 2837 title = {An algorithm for determining defining relations of a 2838 subgroup}, 2839 journal = {Glasgow Math. J.}, 2840 volume = {18}, 2841 number = {1}, 2842 year = {1977}, 2843 pages = {51{\textendash}56}, 2844 fjournal = {Glasgow Mathematical Journal}, 2845 issn = {0017-0895}, 2846 mrclass = {20F05}, 2847 mrnumber = {0424950 (54 \#12908)}, 2848 mrreviewer = {N. S. Mendelsohn}, 2849 reviews = {MR 54 \# 12908 (N.{\nobreakspace}S. Mendelsohn), Zbl 2850 348.20029 (Summary)}, 2851 keywords = {finitely presented groups; subgroup presentation; 2852 modified Todd Coxeter (mtc); algorithm description}, 2853 printedkey = {McL77} 2854} 2855@article{ MeckyNeubueser89, 2856 author = {Mecky, M. and Neub{\"u}ser, J.}, 2857 title = {Some remarks on the computation of conjugacy classes 2858 of soluble groups}, 2859 journal = {Bull. Austral. Math. Soc.}, 2860 volume = {40}, 2861 number = {2}, 2862 year = {1989}, 2863 pages = {281{\textendash}292}, 2864 coden = {ALNBAB}, 2865 fjournal = {Bulletin of the Australian Mathematical Society}, 2866 issn = {0004-9727}, 2867 mrclass = {20-04 (20D10)}, 2868 mrnumber = {1012835 (91i:20001)}, 2869 printedkey = {MN89} 2870} 2871@mastersthesis{ Merkwitz98, 2872 author = {Merkwitz, T.}, 2873 title = {{Markentafeln endlicher Gruppen}}, 2874 school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch 2875 Westf{\"a}lische Technische Hochschule}, 2876 address = {Aachen, Germany}, 2877 year = {1998}, 2878 printedkey = {Mer98}, 2879 type = {Diplomarbeit} 2880} 2881@mastersthesis{ Mni92, 2882 author = {Mnich, J.}, 2883 title = {Untergruppenverb{\"a}nde und aufl{\"o}sbare {G}ruppen 2884 in {GAP}}, 2885 school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch 2886 Westf{\"a}lische Technische Hochschule}, 2887 address = {Aachen, Germany}, 2888 year = {1992}, 2889 keywords = {groups; subgroup lattice, table of marks; cyclic 2890 extensions; algorithm description}, 2891 printedkey = {Mni92}, 2892 type = {Diplomarbeit} 2893} 2894@article{ Mon85, 2895 author = {Montgomery, P. L.}, 2896 title = {Modular multiplication without trial division}, 2897 journal = {Math. Comp.}, 2898 volume = {44}, 2899 number = {170}, 2900 year = {1985}, 2901 pages = {519{\textendash}521}, 2902 coden = {MCMPAF}, 2903 fjournal = {Mathematics of Computation}, 2904 issn = {0025-5718}, 2905 mrclass = {11Y16}, 2906 mrnumber = {777282 (86e:11121)}, 2907 printedkey = {Mon85} 2908} 2909@article{ Mur58, 2910 author = {Murnaghan, F. D.}, 2911 title = {The orthogonal and symplectic groups}, 2912 journal = {Comm. Dublin Inst. Adv. Studies. Ser. A, no.}, 2913 volume = {13}, 2914 year = {1958}, 2915 pages = {146}, 2916 mrclass = {20.00}, 2917 mrnumber = {0103933 (21 \#2695)}, 2918 mrreviewer = {J. S. Frame}, 2919 printedkey = {Mur58} 2920} 2921@article{ MY79, 2922 author = {McKay, J. and Young, K. C.}, 2923 title = {The nonabelian simple groups {$G$}, {$|G| < 2924 10^{6}$}{\textendash}minimal generating pairs}, 2925 journal = {Math. Comp.}, 2926 volume = {33}, 2927 number = {146}, 2928 year = {1979}, 2929 pages = {812{\textendash}814}, 2930 coden = {MCMPAF}, 2931 fjournal = {Mathematics of Computation}, 2932 issn = {0025-5718}, 2933 mrclass = {20D05 (20F05)}, 2934 mrnumber = {521296 (80d:20018)}, 2935 mrreviewer = {W. J. Wong}, 2936 printedkey = {MY79} 2937} 2938@manual{ Nau90, 2939 author = {McKay, B. D.}, 2940 title = {{nauty} user's guide (version 1.5), Technical report 2941 TR-CS-90-02}, 2942 organization = {Australian National University}, 2943 address = {Computer Science Department, ANU}, 2944 year = {1990}, 2945 printedkey = {McK90} 2946} 2947@phdthesis{ Neb95, 2948 author = {Nebe, G.}, 2949 title = {Endliche rationale {M}atrixgruppen vom {G}rad 24}, 2950 school = {Rheinisch Westf{\"a}lische Technische Hochschule}, 2951 series = {Aachener Beitr{\"a}ge zur Mathematik}, 2952 volume = {12}, 2953 address = {Aachen, Germany}, 2954 year = {1995}, 2955 printedkey = {Neb95}, 2956 type = {Dissertation} 2957} 2958@article{ Neb96, 2959 author = {Nebe, G.}, 2960 title = {Finite subgroups of {$GL_n(Q)$} for {$25 \leq n \leq 2961 31$}}, 2962 journal = {Comm. Algebra}, 2963 volume = {24}, 2964 number = {7}, 2965 year = {1996}, 2966 pages = {2341{\textendash}2397}, 2967 coden = {COALDM}, 2968 fjournal = {Communications in Algebra}, 2969 issn = {0092-7872}, 2970 mrclass = {20G15}, 2971 mrnumber = {1390378 (97e:20066)}, 2972 mrreviewer = {Martin W. Liebeck}, 2973 printedkey = {Neb96} 2974} 2975@phdthesis{ Neu67, 2976 author = {Neub{\"u}ser, J.}, 2977 title = {Die {U}ntergruppenverb{\"a}nde der {Gruppen} der 2978 {Ordnungen} $\leq 100$ mit {Ausnahme} der {Ordnungen} 2979 64 und 96}, 2980 school = {Universit{\"a}t Kiel}, 2981 address = {Kiel, Germany}, 2982 year = {1967}, 2983 notes = {PAGES: 370}, 2984 printedkey = {Neu67}, 2985 type = {Habilitationsschrift} 2986} 2987@inproceedings{ Neu82, 2988 author = {Neub{\"u}ser, J.}, 2989 editor = {Campbell, C. M. and Robertson, E. F.}, 2990 booktitle = {Groups{\textendash}St Andrews 1981 (St Andrews, 1981)}, 2991 title = {An elementary introduction to coset table methods in 2992 computational group theory}, 2993 publisher = {Cambridge Univ. Press}, 2994 series = {London Math. Soc. Lecture Note Ser.}, 2995 volume = {71}, 2996 address = {Cambridge}, 2997 year = {1982}, 2998 pages = {1{\textendash}45}, 2999 crossref = {GrpsStAndrews81}, 3000 isbn = {0-521-28974-2}, 3001 mrclass = {20-04 (20-02)}, 3002 mrnumber = {679153 (84f:20004)}, 3003 mrreviewer = {George Havas}, 3004 reviews = {MR 84f:20004 (George Havas), Zbl 489.20003 (G. Butler)}, 3005 keywords = {finitely presented groups; subgroup presentation, 3006 permutation representation, low index subgroups; Todd 3007 Coxeter (tc), modified Todd Coxeter (mtc); algorithm 3008 description, survey}, 3009 printedkey = {Neu82} 3010} 3011@book{ neukirch, 3012 author = {Neukirch, J.}, 3013 title = {Algebraische {Z}ahlentheorie}, 3014 publisher = {Springer, Berlin, Heidelberg and New York}, 3015 year = {1992}, 3016 printedkey = {Neu92} 3017} 3018@inbook{ NP95, 3019 author = {Nebe, G. and Plesken, W.}, 3020 title = {Finite rational matrix groups of degree 16}, 3021 journal = {Mem. Amer. Math. Soc.}, 3022 publisher = {AMS}, 3023 number = {556}, 3024 year = {1995}, 3025 pages = {74{\textendash}144}, 3026 crossref = {NPbook95}, 3027 note = {vol. 116}, 3028 coden = {MAMCAU}, 3029 fjournal = {Memoirs of the American Mathematical Society}, 3030 issn = {0065-9266}, 3031 mrclass = {20H20 (11E57)}, 3032 mrnumber = {1265024 (95k:20081)}, 3033 mrreviewer = {V. D. Mazurov}, 3034 printedkey = {NP95} 3035} 3036@book{ NPbook95, 3037 author = {Nebe, G. and Plesken, W.}, 3038 title = {Finite rational matrix groups}, 3039 journal = {Mem. Amer. Math. Soc.}, 3040 publisher = {AMS}, 3041 series = {Mem. Amer. Math. Soc.}, 3042 number = {556}, 3043 year = {1995}, 3044 pages = {viii+144}, 3045 note = {vol. 116}, 3046 coden = {MAMCAU}, 3047 fjournal = {Memoirs of the American Mathematical Society}, 3048 issn = {0065-9266}, 3049 mrclass = {20H20 (11E57)}, 3050 mrnumber = {1265024 (95k:20081)}, 3051 mrreviewer = {V. D. Mazurov}, 3052 printedkey = {NP95} 3053} 3054@inproceedings{ NPP84, 3055 author = {Neub{\"u}ser, J. and Pahlings, H. and Plesken, W.}, 3056 editor = {Atkinson, M. D.}, 3057 booktitle = {Computational group theory (Durham, 1982)}, 3058 title = {C{AS}; design and use of a system for the handling of 3059 characters of finite groups}, 3060 publisher = {Academic Press}, 3061 address = {London}, 3062 year = {1984}, 3063 pages = {195{\textendash}247}, 3064 crossref = {Durham1982}, 3065 isbn = {0-12-066270-1}, 3066 mrclass = {20-04 (20C15 20C30 68Q40)}, 3067 mrnumber = {760658 (86i:20004)}, 3068 mrreviewer = {D. Wales}, 3069 reviews = {MR 86i:20004 (D. Hales), Zbl 546.20001 (G. Butler)}, 3070 keywords = {ordinary representations; characters}, 3071 printedkey = {NPP84} 3072} 3073@article{ NPW81, 3074 author = {Neub{\"u}ser, J. and Plesken, W. and Wondratschek, H.}, 3075 booktitle = {Proceedings of the Conference on Kristallographische 3076 Gruppen (Univ. Bielefeld, Bielefeld, 1979), Part II}, 3077 title = {An emendatory discursion on defining crystal systems}, 3078 journal = {Match}, 3079 number = {10}, 3080 year = {1981}, 3081 pages = {77{\textendash}96}, 3082 coden = {MATCDV}, 3083 fjournal = {Match}, 3084 issn = {0340-6253}, 3085 mrclass = {20H15 (51F15 82A60)}, 3086 mrnumber = {620802 (82i:20059)}, 3087 mrreviewer = {Daniel B. Litvin}, 3088 reviews = {Zbl 551.20033 (Author)}, 3089 printedkey = {NPW81} 3090} 3091@inproceedings{ New77, 3092 author = {Newman, M. F.}, 3093 editor = {Bryce, R. A. and Cossey, J. and Newman, M. F.}, 3094 booktitle = {Group theory (Proc. Miniconf., Australian Nat. Univ., 3095 Canberra, 1975)}, 3096 title = {Determination of groups of prime-power order}, 3097 publisher = {Springer}, 3098 series = {Lecture Notes in Math.}, 3099 volume = {573}, 3100 address = {Berlin}, 3101 year = {1977}, 3102 pages = {73{\textendash}84. Lecture Notes in Math., Vol. 573}, 3103 crossref = {Canberra75}, 3104 note = {Lecture Notes in Mathematics, Vol. 573}, 3105 mrclass = {20D15}, 3106 mrnumber = {0453862 (56 \#12115)}, 3107 mrreviewer = {Bruce W. King}, 3108 reviews = {MR 56 \# 12115 (Bruce W. King), Zbl no ref}, 3109 keywords = {finitely presented groups, p-groups;; nilpotent 3110 quotient; application}, 3111 printedkey = {New77} 3112} 3113@article{ New90, 3114 author = {Newman, M. F.}, 3115 title = {Proving a group infinite}, 3116 journal = {Arch. Math. (Basel)}, 3117 volume = {54}, 3118 number = {3}, 3119 year = {1990}, 3120 pages = {209{\textendash}211}, 3121 coden = {ACVMAL}, 3122 fjournal = {Archiv der Mathematik}, 3123 issn = {0003-889X}, 3124 mrclass = {20F05}, 3125 mrnumber = {1037607 (90j:20068)}, 3126 mrreviewer = {D. L. Johnson}, 3127 printedkey = {New90} 3128} 3129@inproceedings{ NO89, 3130 author = {Newman, M. F. and O'Brien, E. A.}, 3131 editor = {Cheng, K. N. and Leong, Y. K.}, 3132 booktitle = {Group theory (Singapore, 1987)}, 3133 title = {A {CAYLEY} library for the groups of order dividing 3134 {$128$}}, 3135 publisher = {de Gruyter}, 3136 address = {Berlin}, 3137 year = {1989}, 3138 pages = {437{\textendash}442}, 3139 crossref = {Singapore87}, 3140 isbn = {3-11-011366-X}, 3141 mrclass = {20-04 (20D15)}, 3142 mrnumber = {981861 (90b:20002)}, 3143 mrreviewer = {J. McKay}, 3144 printedkey = {NO89} 3145} 3146@mastersthesis{ Noe02, 3147 author = {Noeske, F.}, 3148 title = {{Zur Darstellungstheorie der Schurschen Erweiterungen 3149 symmetrischer Gruppen}}, 3150 school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch 3151 Westf{\"a}lische Technische Hochschule}, 3152 year = {2002}, 3153 printedkey = {Noe02}, 3154 type = {Diplomarbeit} 3155} 3156@article{ OBr90, 3157 author = {O'Brien, E. A.}, 3158 title = {The {$p$}-group generation algorithm}, 3159 journal = {J. Symbolic Comput.}, 3160 volume = {9}, 3161 number = {5-6}, 3162 year = {1990}, 3163 pages = {677{\textendash}698}, 3164 note = {Computational group theory, Part 1}, 3165 fjournal = {Journal of Symbolic Computation}, 3166 issn = {0747-7171}, 3167 mrclass = {20D15}, 3168 mrnumber = {1075431 (91j:20050)}, 3169 mrreviewer = {{\a`E}. M. Pal{\ensuremath{'}}chik}, 3170 printedkey = {O'B90} 3171} 3172@article{ OBr91, 3173 author = {O'Brien, E. A.}, 3174 title = {The groups of order {$256$}}, 3175 journal = {J. Algebra}, 3176 volume = {143}, 3177 number = {1}, 3178 year = {1991}, 3179 pages = {219{\textendash}235}, 3180 coden = {JALGA4}, 3181 fjournal = {Journal of Algebra}, 3182 issn = {0021-8693}, 3183 mrclass = {20D15 (20-04)}, 3184 mrnumber = {1128656 (93e:20029)}, 3185 printedkey = {O'B91} 3186} 3187@article{ OBr94, 3188 author = {O'Brien, E. A.}, 3189 title = {Isomorphism testing for {$p$}-groups}, 3190 journal = {J. Symbolic Comput.}, 3191 volume = {17}, 3192 number = {2}, 3193 year = {1994}, 3194 pages = {131, 133{\textendash}147}, 3195 fjournal = {Journal of Symbolic Computation}, 3196 issn = {0747-7171}, 3197 mrclass = {20D15 (20D45 20F28)}, 3198 mrnumber = {1283739 (95f:20040b)}, 3199 mrreviewer = {Richard Davitt}, 3200 printedkey = {O'B94} 3201} 3202@inproceedings{ OBr95, 3203 author = {O'Brien, E. A.}, 3204 editor = {Bosma, W. and van der Poorten, A.}, 3205 booktitle = {Computational algebra and number theory (Sydney, 1992)}, 3206 title = {Computing automorphism groups of {$p$}-groups}, 3207 publisher = {Kluwer Acad. Publ.}, 3208 series = {Math. Appl.}, 3209 volume = {325}, 3210 address = {Dordrecht}, 3211 year = {1995}, 3212 pages = {83{\textendash}90}, 3213 mrclass = {20D15 (20D45)}, 3214 mrnumber = {1344923 (96g:20024)}, 3215 mrreviewer = {Wolfgang Lempken}, 3216 printedkey = {O'B95} 3217} 3218@article{ NO96, 3219 author = {Newman, M. F. and O'Brien, E. A.}, 3220 title = {Application of computers to questions like those of 3221 {B}urnside. {II}}, 3222 journal = {Internat. J. Algebra Comput.}, 3223 volume = {6}, 3224 number = {5}, 3225 year = {1996}, 3226 pages = {593{\textendash}605}, 3227 fjournal = {International Journal of Algebra and Computation}, 3228 issn = {0218-1967}, 3229 mrclass = {20-04 (20D15 20F05)}, 3230 mrnumber = {1419133 (97k:20002)}, 3231 mrreviewer = {Colin M. Campbell}, 3232 printedkey = {NO96} 3233} 3234@techreport{ Ost86, 3235 author = {Ostermann, T.}, 3236 title = {Charaktertafeln von {S}ylownormalisatoren sporadischer 3237 einfacher {G}ruppen}, 3238 institution = {Universit{\"a}t Essen}, 3239 publisher = {Universit{\"a}t Essen Fachbereich Mathematik}, 3240 series = {Vorlesungen aus dem Fachbereich Mathematik der 3241 Universit{\"a}t GH Essen [Lecture Notes in Mathematics 3242 at the University of Essen]}, 3243 volume = {14}, 3244 address = {Essen}, 3245 year = {1986}, 3246 pages = {x+187}, 3247 mrclass = {20-04 (20C20 20D08)}, 3248 mrnumber = {872094 (88g:20002)}, 3249 mrreviewer = {M. F. Newman}, 3250 printedkey = {Ost86} 3251} 3252@article{ Pah93, 3253 author = {Pahlings, H.}, 3254 title = {On the {M}{\"o}bius function of a finite group}, 3255 journal = {Arch. Math. (Basel)}, 3256 volume = {60}, 3257 number = {1}, 3258 year = {1993}, 3259 pages = {7{\textendash}14}, 3260 coden = {ACVMAL}, 3261 fjournal = {Archiv der Mathematik}, 3262 issn = {0003-889X}, 3263 mrclass = {20D30}, 3264 mrnumber = {1193087 (94c:20039)}, 3265 mrreviewer = {David Gluck}, 3266 printedkey = {Pah93} 3267} 3268@inproceedings{ Par84, 3269 author = {Parker, R. A.}, 3270 editor = {Atkinson, M. D.}, 3271 booktitle = {Computational group theory (Durham, 1982)}, 3272 title = {The computer calculation of modular characters (the 3273 meat-axe)}, 3274 publisher = {Academic Press}, 3275 address = {London}, 3276 year = {1984}, 3277 pages = {267{\textendash}274}, 3278 crossref = {Durham1982}, 3279 isbn = {0-12-066270-1}, 3280 mrclass = {20C20 (20-04)}, 3281 mrnumber = {760660 (85k:20041)}, 3282 mrreviewer = {Leo J. Alex}, 3283 printedkey = {Par84} 3284} 3285@mastersthesis{ Pfe91, 3286 author = {Pfeiffer, G.}, 3287 title = {{Von Permutationscharakteren und Markentafeln}}, 3288 school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch 3289 Westf{\"a}lische Technische Hochschule}, 3290 address = {Aachen, Germany}, 3291 year = {1991}, 3292 printedkey = {Pfe91}, 3293 type = {Diplomarbeit} 3294} 3295@article{ Pfe94a, 3296 author = {Pfeiffer, G.}, 3297 title = {Character tables of {W}eyl groups in {GAP}}, 3298 journal = {Bayreuth. Math. Schr.}, 3299 number = {47}, 3300 year = {1994}, 3301 pages = {165{\textendash}222}, 3302 fjournal = {Bayreuther Mathematische Schriften}, 3303 issn = {0172-1062}, 3304 mrclass = {20C40 (20C15 20D06 20F40)}, 3305 mrnumber = {1285208 (95d:20027)}, 3306 mrreviewer = {Stephen A. Linton}, 3307 printedkey = {Pfe94} 3308} 3309@article{ Pfe94b, 3310 author = {Pfeiffer, G.}, 3311 title = {Young characters on {C}oxeter basis elements of 3312 {I}wahori-{H}ecke algebras and a 3313 {M}urnaghan-{N}akayama formula}, 3314 journal = {J. Algebra}, 3315 volume = {168}, 3316 number = {2}, 3317 year = {1994}, 3318 pages = {525{\textendash}535}, 3319 coden = {JALGA4}, 3320 fjournal = {Journal of Algebra}, 3321 issn = {0021-8693}, 3322 mrclass = {20C30 (20C15 20F55)}, 3323 mrnumber = {1292779 (95g:20012)}, 3324 mrreviewer = {Arun Ram}, 3325 printedkey = {Pfe94} 3326} 3327@inproceedings{ Pfe96, 3328 author = {Pfeiffer, G.}, 3329 editor = {Cabanes, M.}, 3330 booktitle = {Finite reductive groups (Luminy, 1994)}, 3331 title = {Character values of {I}wahori-{H}ecke algebras of type 3332 {$B$}}, 3333 publisher = {Birkh{\"a}user Boston}, 3334 series = {Progr. Math.}, 3335 volume = {141}, 3336 address = {Boston, MA}, 3337 year = {1997}, 3338 pages = {333{\textendash}360}, 3339 crossref = {Luminy94}, 3340 note = {Related structures and representations}, 3341 isbn = {0-8176-3885-7}, 3342 mrclass = {20C15 (20F55)}, 3343 mrnumber = {1429879 (98a:20008)}, 3344 mrreviewer = {Robert B{\a'e}dard}, 3345 printedkey = {Pfe97} 3346} 3347@article{ Pfe97, 3348 author = {Pfeiffer, G.}, 3349 title = {The subgroups of {$M_{24}$}, or how to compute the 3350 table of marks of a finite group}, 3351 journal = {Experiment. Math.}, 3352 volume = {6}, 3353 number = {3}, 3354 year = {1997}, 3355 pages = {247{\textendash}270}, 3356 fjournal = {Experimental Mathematics}, 3357 issn = {1058-6458}, 3358 mrclass = {20D30 (20D08)}, 3359 mrnumber = {1481593 (98h:20032)}, 3360 mrreviewer = {A. S. Kondrat{\ensuremath{'}}ev}, 3361 printedkey = {Pfe97} 3362} 3363@book{ Pil83, 3364 author = {Pilz, G.}, 3365 title = {Near-rings}, 3366 publisher = {North-Holland Publishing Co.}, 3367 edition = {Second}, 3368 series = {North-Holland Mathematics Studies}, 3369 volume = {23}, 3370 address = {Amsterdam}, 3371 year = {1983}, 3372 pages = {xv+470}, 3373 note = {The theory and its applications}, 3374 isbn = {0-7204-0566-1}, 3375 mrclass = {16A76 (16-02)}, 3376 mrnumber = {721171 (85h:16046)}, 3377 mrreviewer = {J. R. Clay}, 3378 printedkey = {Pil83} 3379} 3380@article{ Ple85, 3381 author = {Plesken, W.}, 3382 title = {Finite unimodular groups of prime degree and 3383 circulants}, 3384 journal = {J. Algebra}, 3385 volume = {97}, 3386 number = {1}, 3387 year = {1985}, 3388 pages = {286{\textendash}312}, 3389 coden = {JALGA4}, 3390 fjournal = {Journal of Algebra}, 3391 issn = {0021-8693}, 3392 mrclass = {20C10 (20G40)}, 3393 mrnumber = {812182 (87c:20020)}, 3394 mrreviewer = {Wolfgang Knapp}, 3395 printedkey = {Ple85} 3396} 3397@article{ Ple90, 3398 author = {Plesken, W.}, 3399 title = {Solving {$XX^{\rm tr} = A$} over the integers}, 3400 journal = {Linear Algebra Appl.}, 3401 volume = {226/228}, 3402 year = {1995}, 3403 pages = {331--344}, 3404 coden = {LAAPAW}, 3405 fjournal = {Linear Algebra and its Applications}, 3406 issn = {0024-3795}, 3407 mrclass = {15A24}, 3408 mrnumber = {1344572 (96h:15016)}, 3409 mrreviewer = {M. C. Chaki}, 3410 printedkey = {Ple95} 3411} 3412@inbook{ PN95, 3413 author = {Plesken, W. and Nebe, G.}, 3414 title = {Finite rational matrix groups}, 3415 journal = {Mem. Amer. Math. Soc.}, 3416 publisher = {AMS}, 3417 number = {556}, 3418 year = {1995}, 3419 pages = {1{\textendash}73}, 3420 crossref = {NPbook95}, 3421 note = {vol. 116}, 3422 coden = {MAMCAU}, 3423 fjournal = {Memoirs of the American Mathematical Society}, 3424 issn = {0065-9266}, 3425 mrclass = {20H20 (11E57)}, 3426 mrnumber = {1265024 (95k:20081)}, 3427 mrreviewer = {V. D. Mazurov}, 3428 printedkey = {PN95} 3429} 3430@article{ MR1265024, 3431 author = {Nebe, G. and Plesken, W.}, 3432 title = {Finite rational matrix groups}, 3433 journal = {Mem. Amer. Math. Soc.}, 3434 volume = {116}, 3435 number = {556}, 3436 year = {1995}, 3437 pages = {viii+144}, 3438 coden = {MAMCAU}, 3439 fjournal = {Memoirs of the American Mathematical Society}, 3440 issn = {0065-9266}, 3441 mrclass = {20H20 (11E57)}, 3442 mrnumber = {1265024 (95k:20081)}, 3443 mrreviewer = {V. D. Mazurov}, 3444 printedkey = {NP95} 3445} 3446@article{ PP77, 3447 author = {Plesken, W. and Pohst, M.}, 3448 title = {On maximal finite irreducible Subgroups of {GL(n,Z)}. 3449 {I}. The five and seven dimensional cases, {II}. The 3450 six dimensional case}, 3451 journal = {Math. Comp.}, 3452 volume = {31}, 3453 year = {1977}, 3454 pages = {536{\textendash}576}, 3455 reviews = {MR 56 \# 3137a, 3137b (Wolfgang Knapp), Zbl 359.20006, 3456 359.20007 (authors)}, 3457 printedkey = {PP77} 3458} 3459@article{ MR0444789, 3460 author = {Plesken, W. and Pohst, M.}, 3461 title = {On maximal finite irreducible subgroups of {$GL(n, 3462 Z)$}. {I}. {T}he five and seven dimensional cases}, 3463 journal = {Math. Comp.}, 3464 volume = {31}, 3465 number = {138}, 3466 year = {1977}, 3467 pages = {536{\textendash}551}, 3468 fjournal = {Mathematics of Computation}, 3469 issn = {0025-5718}, 3470 mrclass = {20G05}, 3471 mrnumber = {0444789 (56 \#3137a)}, 3472 mrreviewer = {Wolfgang Knapp}, 3473 printedkey = {PP77} 3474} 3475@article{ MR0444790, 3476 author = {Plesken, W. and Pohst, M.}, 3477 title = {On maximal finite irreducible subgroups of {$GL(n, 3478 Z)$}. {II}. {T}he six dimensional case}, 3479 journal = {Math. Comp.}, 3480 volume = {31}, 3481 number = {138}, 3482 year = {1977}, 3483 pages = {552{\textendash}573}, 3484 fjournal = {Mathematics of Computation}, 3485 issn = {0025-5718}, 3486 mrclass = {20G05}, 3487 mrnumber = {0444790 (56 \#3137b)}, 3488 mrreviewer = {Wolfgang Knapp}, 3489 printedkey = {PP77} 3490} 3491@article{ PP80, 3492 author = {Plesken, W. and Pohst, M.}, 3493 title = {On maximal finite irreducible Subgroups of {GL(n,Z)}. 3494 {III}. The nine dimensional case, {IV}. Remarks on 3495 even dimensions with application to n = 8, {V}. The 3496 eight dimensional case and a complete description of 3497 dimensions less than ten}, 3498 journal = {Math. Comp.}, 3499 volume = {34}, 3500 year = {1980}, 3501 pages = {245{\textendash}301}, 3502 reviews = {MR 81b:20012a, 81b:20012b, 81b:20012c (Wolfgang 3503 Knapp), Zbl 431.20039, 431.20040, 431.20041 (authors)}, 3504 printedkey = {PP80} 3505} 3506@article{ MR551303, 3507 author = {Plesken, W. and Pohst, M.}, 3508 title = {On maximal finite irreducible subgroups of {$GL(n, 3509 Z)$}. {III}. {T}he nine-dimensional case}, 3510 journal = {Math. Comp.}, 3511 volume = {34}, 3512 number = {149}, 3513 year = {1980}, 3514 pages = {245{\textendash}258}, 3515 coden = {MCMPAF}, 3516 fjournal = {Mathematics of Computation}, 3517 issn = {0025-5718}, 3518 mrclass = {20C10}, 3519 mrnumber = {551303 (81b:20012a)}, 3520 mrreviewer = {Wolfgang Knapp}, 3521 printedkey = {PP80} 3522} 3523@article{ MR551304, 3524 author = {Plesken, W. and Pohst, M.}, 3525 title = {On maximal finite irreducible subgroups of {$GL(n, 3526 Z)$}. {IV}. {R}emarks on even dimensions with 3527 applications to {$n = 8$}}, 3528 journal = {Math. Comp.}, 3529 volume = {34}, 3530 number = {149}, 3531 year = {1980}, 3532 pages = {259{\textendash}275}, 3533 coden = {MCMPAF}, 3534 fjournal = {Mathematics of Computation}, 3535 issn = {0025-5718}, 3536 mrclass = {20C10}, 3537 mrnumber = {551304 (81b:20012b)}, 3538 mrreviewer = {Wolfgang Knapp}, 3539 printedkey = {PP80} 3540} 3541@article{ MR551305, 3542 author = {Plesken, W. and Pohst, M.}, 3543 title = {On maximal finite irreducible subgroups of {$GL(n, 3544 Z)$}. {V}. {T}he eight-dimensional case and a complete 3545 description of dimensions less than ten}, 3546 journal = {Math. Comp.}, 3547 volume = {34}, 3548 number = {149}, 3549 year = {1980}, 3550 pages = {277{\textendash}301, loose microfiche suppl}, 3551 coden = {MCMPAF}, 3552 fjournal = {Mathematics of Computation}, 3553 issn = {0025-5718}, 3554 mrclass = {20C10}, 3555 mrnumber = {551305 (81b:20012c)}, 3556 mrreviewer = {Wolfgang Knapp}, 3557 printedkey = {PP80} 3558} 3559@article{ Poh87, 3560 author = {Pohst, M.}, 3561 title = {A modification of the {LLL} reduction algorithm}, 3562 journal = {J. Symbolic Comput.}, 3563 volume = {4}, 3564 number = {1}, 3565 year = {1987}, 3566 pages = {123{\textendash}127}, 3567 fjournal = {Journal of Symbolic Computation}, 3568 issn = {0747-7171}, 3569 mrclass = {11Y16 (11H06 11R27 11Y05 68Q20)}, 3570 mrnumber = {908420 (89c:11183)}, 3571 mrreviewer = {Hans G. Kopetzky}, 3572 printedkey = {Poh87} 3573} 3574@article{ Ram91, 3575 author = {Ram, A.}, 3576 title = {A {F}robenius formula for the characters of the 3577 {H}ecke algebras}, 3578 journal = {Invent. Math.}, 3579 volume = {106}, 3580 number = {3}, 3581 year = {1991}, 3582 pages = {461{\textendash}488}, 3583 coden = {INVMBH}, 3584 fjournal = {Inventiones Mathematicae}, 3585 issn = {0020-9910}, 3586 mrclass = {20C30 (05E05 16W30 17B37)}, 3587 mrnumber = {1134480 (93c:20029)}, 3588 mrreviewer = {Jie Du}, 3589 printedkey = {Ram91} 3590} 3591@manual{ Ram99a, 3592 author = {Ramsay, C.}, 3593 title = {{ACE} for {Amateurs}}, 3594 organization = {Centre for Discrete Mathematics and Computing, The 3595 University of Queensland}, 3596 year = {1999}, 3597 note = {Draft}, 3598 printedkey = {Ram99} 3599} 3600@manual{ Ram99, 3601 author = {Ramsay, C.}, 3602 title = {{ACE} User Manual}, 3603 address = {Department of Computer Science \& Electrical 3604 Engineering and Department of Mathematics, The 3605 University of Queensland, QLD 4072, Australia}, 3606 year = {1999}, 3607 note = {Draft}, 3608 organisation = {Centre for Discrete Mathematics and Computing}, 3609 printedkey = {Ram99} 3610} 3611@manual{ Rin93, 3612 author = {Ringe, M.}, 3613 title = {The {C} {M}eat{A}xe, Release 1.5}, 3614 organization = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch 3615 Westf{\"a}lische Technische Hochschule}, 3616 address = {Aachen, Germany}, 3617 year = {1993}, 3618 printedkey = {Rin93} 3619} 3620@manual{ Rin98, 3621 author = {Ringe, M.}, 3622 title = {The {C} {M}eat{A}xe, Release 2.3}, 3623 organization = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch 3624 Westf{\"a}lische Technische Hochschule}, 3625 address = {Aachen, Germany}, 3626 year = {1998}, 3627 printedkey = {Rin98} 3628} 3629@article{ Rob88, 3630 author = {Robertson, E. 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Symbolic Comput.}, 3650 volume = {35}, 3651 number = {4}, 3652 year = {2003}, 3653 pages = {421{\textendash}439}, 3654 fjournal = {Journal of Symbolic Computation}, 3655 issn = {0747-7171}, 3656 mrclass = {20B15}, 3657 mrnumber = {1976576 (2004e:20002)}, 3658 mrreviewer = {Xianhua Li}, 3659 printedkey = {RU03} 3660} 3661@article{ RoneyDougal05, 3662 author = {Roney-Dougal, C. M.}, 3663 title = {The primitive permutation groups of degree less than 3664 2500}, 3665 journal = {J. Algebra}, 3666 volume = {292}, 3667 number = {1}, 3668 year = {2005}, 3669 pages = {154{\textendash}183}, 3670 coden = {JALGA4}, 3671 fjournal = {Journal of Algebra}, 3672 issn = {0021-8693}, 3673 mrclass = {20B15}, 3674 mrnumber = {2166801 (2006e:20005)}, 3675 mrreviewer = {Michael Giudici}, 3676 printedkey = {Ron05} 3677} 3678@article{ Roy87, 3679 author = {Royle, G. F.}, 3680 title = {The transitive groups of degree twelve}, 3681 journal = {J. Symbolic Comput.}, 3682 volume = {4}, 3683 number = {2}, 3684 year = {1987}, 3685 pages = {255{\textendash}268}, 3686 fjournal = {Journal of Symbolic Computation}, 3687 issn = {0747-7171}, 3688 mrclass = {20B05}, 3689 mrnumber = {922391 (89b:20010)}, 3690 mrreviewer = {Martin W. Liebeck}, 3691 printedkey = {Roy87} 3692} 3693@article{ RylandsTalor98, 3694 author = {Rylands, L. J. and Taylor, D. E.}, 3695 title = {Matrix generators for the orthogonal groups}, 3696 journal = {J. Symbolic Comput.}, 3697 volume = {25}, 3698 number = {3}, 3699 year = {1998}, 3700 pages = {351{\textendash}360}, 3701 fjournal = {Journal of Symbolic Computation}, 3702 issn = {0747-7171}, 3703 mrclass = {20G40}, 3704 mrnumber = {1615330 (99d:20078)}, 3705 mrreviewer = {A. G. Earnest}, 3706 printedkey = {RT98} 3707} 3708@article{ Sco73, 3709 author = {Scott, L. L.}, 3710 title = {Modular permutation representations}, 3711 journal = {Trans. Amer. Math. 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Math.}, 3765 volume = {52}, 3766 number = {1-3}, 3767 year = {1998}, 3768 pages = {183{\textendash}207}, 3769 note = {Algebra and combinatorics: interactions and 3770 applications (K{\"o}nigstein, 1994)}, 3771 coden = {AAMADV}, 3772 fjournal = {Acta Applicandae Mathematicae. An International Survey 3773 Journal on Applying Mathematics and Mathematical 3774 Applications}, 3775 issn = {0167-8019}, 3776 mrclass = {20B40 (20-04 68W30)}, 3777 mrnumber = {1649697 (2000e:20008)}, 3778 mrreviewer = {Miguel {\a'A}. Borges-Trenard}, 3779 printedkey = {Ser98} 3780} 3781@book{ Seress2003, 3782 author = {Seress, {\a'A}.}, 3783 title = {Permutation Group Algorithms}, 3784 publisher = {Cambridge University Press}, 3785 year = {2003}, 3786 isbn = {9780511546549}, 3787 printedkey = {Ser03} 3788} 3789@article{ ST54, 3790 author = {Shephard, G. C. and Todd, J. A.}, 3791 title = {Finite unitary reflection groups}, 3792 journal = {Canadian J. Math.}, 3793 volume = {6}, 3794 year = {1954}, 3795 pages = {274{\textendash}304}, 3796 mrclass = {20.0X}, 3797 mrnumber = {0059914 (15,600b)}, 3798 mrreviewer = {H. S. M. Coxeter}, 3799 printedkey = {ST54} 3800} 3801@book{ Sho92, 3802 author = {Short, M. W.}, 3803 title = {The primitive soluble permutation groups of degree 3804 less than {$256$}}, 3805 publisher = {Springer-Verlag}, 3806 series = {Lecture Notes in Mathematics}, 3807 volume = {1519}, 3808 address = {Berlin}, 3809 year = {1992}, 3810 pages = {x+145}, 3811 isbn = {3-540-55501-3}, 3812 mrclass = {20B15 (20B35 20B40 20F16)}, 3813 mrnumber = {1176516 (93g:20006)}, 3814 mrreviewer = {A. S. Kondrat{\ensuremath{'}}ev}, 3815 printedkey = {Sho92} 3816} 3817@inproceedings{ Sim70, 3818 author = {Sims, C. C.}, 3819 editor = {Leech, J.}, 3820 booktitle = {Computational Problems in Abstract Algebra (Proc. 3821 Conf., Oxford, 1967)}, 3822 title = {Computational methods in the study of permutation 3823 groups}, 3824 publisher = {Pergamon}, 3825 series = {Proceedings of a Conference held at Oxford under the 3826 auspices of the Science Research Council, Atlas 3827 Computer Laboratory}, 3828 volume = {29}, 3829 address = {Oxford}, 3830 year = {1970}, 3831 pages = {169{\textendash}183}, 3832 crossref = {Oxford67}, 3833 notes = {RUSSIAN translation in: Computations in algebra and 3834 number theory (Russian), edited by B.{\nobreakspace}B. 3835 Venkov and D.{\nobreakspace}K. Faddeev, pp. 3836 129{\textendash}147, Matematika, Novoie v Zarubeznoi 3837 Naukie, vol. 2, Izdat. MIR, Moscow, 1976}, 3838 mrclass = {20.20 (65.00)}, 3839 mrnumber = {0257203 (41 \#1856)}, 3840 mrreviewer = {H. Kimura}, 3841 reviews = {MR 41 \# 1856 (H. Kimura), Zbl 215, 100 (J. McKay), CR 3842 11 \# 19,829 (G.{\nobreakspace}N. Raney)}, 3843 keywords = {permutation groups; primitive groups, classification 3844 of, stabilizer chain; Schreier Sims}, 3845 printedkey = {Sim70} 3846} 3847@article{ Sims90b, 3848 author = {Sims, C. C.}, 3849 title = {Computing the order of a solvable permutation group}, 3850 journal = {J. Symbolic Comput.}, 3851 volume = {9}, 3852 number = {5-6}, 3853 year = {1990}, 3854 pages = {699{\textendash}705}, 3855 note = {Computational group theory, Part 1}, 3856 fjournal = {Journal of Symbolic Computation}, 3857 issn = {0747-7171}, 3858 mrclass = {20B40}, 3859 mrnumber = {1075432 (91m:20011)}, 3860 mrreviewer = {Gerhard Hiss}, 3861 printedkey = {Sim90} 3862} 3863@book{ Sims94, 3864 author = {Sims, C. C.}, 3865 title = {Computation with finitely presented groups}, 3866 publisher = {Cambridge University Press}, 3867 series = {Encyclopedia of Mathematics and its Applications}, 3868 volume = {48}, 3869 address = {Cambridge}, 3870 year = {1994}, 3871 pages = {xiii+604}, 3872 isbn = {0-521-43213-8}, 3873 mrclass = {20F05 (20-02 68Q40 68Q42)}, 3874 mrnumber = {1267733 (95f:20053)}, 3875 mrreviewer = {Friedrich Otto}, 3876 printedkey = {Sim94} 3877} 3878@inproceedings{ Sims97, 3879 author = {Sims, C. C.}, 3880 editor = {K{\"u}chlin, W.}, 3881 booktitle = {Proceedings of the 1997 International Symposium on 3882 Symbolic and Algebraic Computation (Kihei, HI)}, 3883 title = {Computing with subgroups of automorphism groups of 3884 finite groups}, 3885 organization = {The Association for Computing Machinery}, 3886 publisher = {ACM}, 3887 address = {New York}, 3888 year = {1997}, 3889 pages = {400{\textendash}403 (electronic)}, 3890 crossref = {ISSAC97}, 3891 note = {Held in Kihei, HI, July 21{\textendash}23, 1997}, 3892 key = {ACM}, 3893 mrclass = {68W30 (20D45)}, 3894 mrnumber = {1810006} 3895} 3896@manual{ Sog89, 3897 title = {{SOGOS} - A Program System for Handling Subgroups of 3898 Finite Soluble Groups, version 5.0, User's reference 3899 manual}, 3900 organization = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch 3901 Westf{\"a}lische Technische Hochschule}, 3902 address = {Aachen, Germany}, 3903 year = {1989}, 3904 keywords = {groups, finitely presented groups, polycyclic groups, 3905 nilpotent groups, p-groups; SOGOS, pc-presentation, 3906 ag-presentation, collection, elements, classes of 3907 conjugate elements, centralizer, normalizer, normal 3908 closure, intersection, sylow subgroups, derived 3909 subgroup, series, central series, p-central series, 3910 subgroup lattice, table of marks, complements, factor 3911 groups; nilpotent quotient (nq); manual}, 3912 printedkey = {NOAUTHOROREDITOR{\textunderscore}SPECIFYKEY} 3913} 3914@inproceedings{ Soi91, 3915 author = {Soicher, L. H.}, 3916 editor = {Finkelstein, L. and Kantor, W. M.}, 3917 booktitle = {Groups and computation (New Brunswick, NJ, 1991)}, 3918 title = {G{RAPE}: a system for computing with graphs and groups}, 3919 publisher = {Amer. Math. Soc.}, 3920 series = {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.}, 3921 volume = {11}, 3922 address = {Providence, RI}, 3923 year = {1993}, 3924 pages = {287{\textendash}291}, 3925 crossref = {DIMACS}, 3926 isbn = {0-8218-6599-4}, 3927 mrclass = {05C85 (20B40)}, 3928 mrnumber = {1235810}, 3929 printedkey = {Soi93} 3930} 3931@article{ Sou94, 3932 author = {Souvignier, B.}, 3933 title = {Irreducible finite integral matrix groups of degree 3934 {$8$} and {$10$}}, 3935 journal = {Math. Comp.}, 3936 volume = {63}, 3937 number = {207}, 3938 year = {1994}, 3939 pages = {335{\textendash}350}, 3940 note = {With microfiche supplement}, 3941 coden = {MCMPAF}, 3942 fjournal = {Mathematics of Computation}, 3943 issn = {0025-5718}, 3944 mrclass = {20H15 (11E12 20C10 20C40)}, 3945 mrnumber = {1213836 (94i:20091)}, 3946 mrreviewer = {Alexander W. Mason}, 3947 printedkey = {Sou94} 3948} 3949@manual{ Spa89, 3950 title = {{SPAS} - {S}ubgroup {P}resentation {A}lgorithms 3951 {S}ystem, version 2.5, User's reference manual}, 3952 organization = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch 3953 Westf{\"a}lische Technische Hochschule}, 3954 address = {Aachen, Germany}, 3955 year = {1989}, 3956 key = {SPAS}, 3957 keywords = {finitely presented groups; SPAS, subgroup 3958 presentation, simplification, low index subgroups; 3959 Todd Coxeter (tc), modified Todd Coxeter (mtc), 3960 Reidemeister Schreier (rs), reduced Reidemeister 3961 Schreier (rrs), Tietze transformations, tree decoding; 3962 manual} 3963} 3964@book{ Spr81, 3965 author = {Springer, T. A.}, 3966 title = {Linear algebraic groups}, 3967 publisher = {Birkh{\"a}user Boston}, 3968 series = {Progress in Mathematics}, 3969 volume = {9}, 3970 address = {Mass.}, 3971 year = {1981}, 3972 pages = {x+304}, 3973 isbn = {3-7643-3029-5}, 3974 mrclass = {20-02 (20Gxx)}, 3975 mrnumber = {632835 (84i:20002)}, 3976 printedkey = {Spr81} 3977} 3978@article{ Ste89, 3979 author = {Stembridge, J. R.}, 3980 title = {On the eigenvalues of representations of reflection 3981 groups and wreath products}, 3982 journal = {Pacific J. Math.}, 3983 volume = {140}, 3984 number = {2}, 3985 year = {1989}, 3986 pages = {353{\textendash}396}, 3987 coden = {PJMAAI}, 3988 fjournal = {Pacific Journal of Mathematics}, 3989 issn = {0030-8730}, 3990 mrclass = {20C30 (20C15)}, 3991 mrnumber = {1023791 (91a:20022)}, 3992 mrreviewer = {A. Kerber}, 3993 printedkey = {Ste89} 3994} 3995@article{ Tay87, 3996 author = {Taylor, D. E.}, 3997 title = {Pairs of Generators for Matrix Groups. {I}}, 3998 journal = {The Cayley Bulletin}, 3999 volume = {3}, 4000 year = {1987}, 4001 printedkey = {Tay87} 4002} 4003@mastersthesis{ Theissen93, 4004 author = {Thei{\ss}en, H.}, 4005 title = {{Methoden zur Bestimmung der rationalen Konjugiertheit 4006 in endlichen Gruppen}}, 4007 school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch 4008 Westf{\"a}lische Technische Hochschule}, 4009 address = {Aachen, Germany}, 4010 year = {1993}, 4011 printedkey = {The93}, 4012 type = {Diplomarbeit} 4013} 4014@phdthesis{ Theissen97, 4015 author = {Thei{\ss}en, H.}, 4016 title = {{Eine Methode zur Normalisatorberechnung in 4017 Permutationsgruppen mit Anwendungen in der 4018 Konstruktion primitiver Gruppen}}, 4019 school = {Rheinisch Westf{\"a}lische Technische Hochschule}, 4020 address = {Aachen, Germany}, 4021 year = {1997}, 4022 printedkey = {The97}, 4023 type = {Dissertation} 4024} 4025@mastersthesis{ Thi87, 4026 author = {Thiemann, P.}, 4027 title = {{SOGOS} {III} - {C}haraktere und 4028 {E}ffizienzuntersuchung}, 4029 school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch 4030 Westf{\"a}lische Technische Hochschule}, 4031 address = {Aachen, Germany}, 4032 year = {1987}, 4033 printedkey = {Thi87}, 4034 type = {Diplomarbeit} 4035} 4036@inproceedings{ VL84, 4037 author = {Vaughan-Lee, M. R.}, 4038 editor = {Atkinson, M. D.}, 4039 booktitle = {Computational group theory (Durham, 1982)}, 4040 title = {An aspect of the nilpotent quotient algorithm}, 4041 publisher = {Academic Press}, 4042 address = {London}, 4043 year = {1984}, 4044 pages = {75{\textendash}83}, 4045 crossref = {Durham1982}, 4046 isbn = {0-12-066270-1}, 4047 mrclass = {20F05 (20-04 20D15 68Q40)}, 4048 mrnumber = {760652 (86b:20040)}, 4049 mrreviewer = {M. F. Newman}, 4050 printedkey = {Vau84} 4051} 4052@article{ VL90a, 4053 author = {Vaughan-Lee, M. R.}, 4054 title = {Collection from the left}, 4055 journal = {J. Symbolic Comput.}, 4056 publisher = {Academic Press}, 4057 volume = {9}, 4058 number = {5-6}, 4059 year = {1990}, 4060 pages = {725{\textendash}733}, 4061 note = {Computational group theory, Part 1}, 4062 fjournal = {Journal of Symbolic Computation}, 4063 issn = {0747-7171}, 4064 mrclass = {20F12 (20-04 20D15 20F18)}, 4065 mrnumber = {1075434 (92c:20065)}, 4066 mrreviewer = {M. Greendlinger}, 4067 printedkey = {Vau90} 4068} 4069@book{ VL90b, 4070 author = {Vaughan-Lee, M.}, 4071 title = {The restricted {B}urnside problem}, 4072 publisher = {The Clarendon Press Oxford University Press}, 4073 series = {London Mathematical Society Monographs. New Series}, 4074 volume = {5}, 4075 address = {New York}, 4076 year = {1990}, 4077 pages = {xiv+209}, 4078 note = {, Oxford Science Publications}, 4079 isbn = {0-19-853573-2}, 4080 mrclass = {20-02 (20F12 20F40 20F45 20F50)}, 4081 mrnumber = {1057610 (92c:20001)}, 4082 mrreviewer = {Norman Blackburn}, 4083 printedkey = {Vau90} 4084} 4085@article{ vdW76, 4086 author = {van der Waall, R. W.}, 4087 title = {On symplectic primitive modules and monomial groups}, 4088 journal = {Nederl. Akad. Wetensch. Proc. Ser. A 79, Indag. Math.}, 4089 volume = {38}, 4090 number = {4}, 4091 year = {1976}, 4092 pages = {362{\textendash}375}, 4093 mrclass = {20D10}, 4094 mrnumber = {0424931 (54 \#12889)}, 4095 mrreviewer = {T. R. Berger}, 4096 printedkey = {vdW76} 4097} 4098@article{ Wagon90, 4099 author = {Wagon, S.}, 4100 title = {Editor's corner: the {E}uclidean algorithm strikes 4101 again}, 4102 journal = {Amer. Math. Monthly}, 4103 volume = {97}, 4104 number = {2}, 4105 year = {1990}, 4106 pages = {125{\textendash}129}, 4107 coden = {AMMYAE}, 4108 fjournal = {The American Mathematical Monthly}, 4109 issn = {0002-9890}, 4110 mrclass = {11E25 (11Y50)}, 4111 mrnumber = {1041889 (91b:11039)}, 4112 mrreviewer = {K. S. Williams}, 4113 printedkey = {Wag90} 4114} 4115@techreport{ wielandt69, 4116 author = {Wielandt, H.}, 4117 title = {Permutation groups through invariant relations and 4118 invariant functions}, 4119 institution = {Department of Mathematics, The Ohio State University}, 4120 year = {1969}, 4121 printedkey = {Wie69}, 4122 type = {Lecture Notes} 4123} 4124@misc{ AGR, 4125 author = {Wilson, R. A. and Walsh, P. and Tripp, J. and 4126 Suleiman, I. and Parker, R. A. and Norton, S. P. and 4127 Nickerson, S. and Linton, S. and Bray, J. and Abbott, 4128 R.}, 4129 title = {{ATLAS of Finite Group Representations}}, 4130 howpublished = {\href {http://brauer.maths.qmul.ac.uk/Atlas/} 4131 {\texttt{http://brauer.maths.qmul.ac.uk/}\discretionary 4132 {}{}{}\texttt{Atlas/}}}, 4133 key = {ATLAS} 4134} 4135@article{ BSW01, 4136 author = {Bray, J. N. and Suleiman, I. A. I. and Walsh, P. G. 4137 and Wilson, R. A.}, 4138 title = {Generating maximal subgroups of sporadic simple groups}, 4139 journal = {Comm. Algebra}, 4140 volume = {29}, 4141 number = {3}, 4142 year = {2001}, 4143 pages = {1325{\textendash}1337}, 4144 coden = {COALDM}, 4145 fjournal = {Communications in Algebra}, 4146 issn = {0092-7872}, 4147 mrclass = {20D08}, 4148 mrnumber = {1842416 (2002e:20032)}, 4149 mrreviewer = {Hiroyoshi Yamaki}, 4150 printedkey = {BSWW01} 4151} 4152@article{ Wil96, 4153 author = {Wilson, R. A.}, 4154 title = {Standard generators for sporadic simple groups}, 4155 journal = {J. Algebra}, 4156 volume = {184}, 4157 number = {2}, 4158 year = {1996}, 4159 pages = {505{\textendash}515}, 4160 coden = {JALGA4}, 4161 fjournal = {Journal of Algebra}, 4162 issn = {0021-8693}, 4163 mrclass = {20D08}, 4164 mrnumber = {1409225 (98e:20025)}, 4165 printedkey = {Wil96} 4166} 4167@incollection{ Won95, 4168 author = {Wondratschek, H.}, 4169 editor = {Hahn, T.}, 4170 booktitle = {International Tables for Crystallography, {V}ol. {A}}, 4171 title = {Introduction to space-group symmetry}, 4172 publisher = {Kluwer, Dordrecht}, 4173 edition = {4th}, 4174 year = {1995}, 4175 pages = {711{\textendash}735}, 4176 crossref = {Hah95}, 4177 note = {Space-group symmetry}, 4178 printedkey = {Won95} 4179} 4180@manual{ Wur93, 4181 author = {Wursthorn, M.}, 4182 title = {{SISYPHOS} Computing in modular group algebras, 4183 Version 0.5}, 4184 organization = {Math. Inst. B, 3. Lehrstuhl}, 4185 address = {Universit{\"a}t Stuttgart}, 4186 year = {1993}, 4187 printedkey = {Wur93} 4188} 4189@article{ Zagier90, 4190 author = {Zagier, D.}, 4191 title = {A one-sentence proof that every prime {$p \equiv 1 4192 \pmod 4$} is a sum of two squares}, 4193 journal = {Amer. Math. Monthly}, 4194 volume = {97}, 4195 number = {2}, 4196 year = {1990}, 4197 pages = {144}, 4198 coden = {AMMYAE}, 4199 fjournal = {The American Mathematical Monthly}, 4200 issn = {0002-9890}, 4201 mrclass = {11E25}, 4202 mrnumber = {1041893 (91b:11040)}, 4203 mrreviewer = {K. S. Williams}, 4204 printedkey = {Zag90} 4205} 4206@mastersthesis{ Zum89, 4207 author = {Zumbroich, M.}, 4208 title = {{Grundlagen} einer {Arithmetik} in 4209 {Kreisteilungsk{\"o}rpern} und ihre {Implementation} 4210 in {CAS}}, 4211 school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch 4212 Westf{\"a}lische Technische Hochschule}, 4213 address = {Aachen, Germany}, 4214 year = {1989}, 4215 printedkey = {Zum89}, 4216 type = {Diplomarbeit} 4217} 4218@proceedings{ Oxford67, 4219 editor = {Leech, J.}, 4220 booktitle = {Computational Problems in Abstract Algebra, Proc. 4221 Conf. Oxford, 1967}, 4222 title = {Computational problems in abstract algebra}, 4223 publisher = {Pergamon Press}, 4224 series = {Proceedings of a Conference held at Oxford under the 4225 auspices of the Science Research Council, Atlas 4226 Computer Laboratory}, 4227 volume = {29}, 4228 address = {Oxford}, 4229 year = {1970}, 4230 pages = {x+402}, 4231 mrclass = {00.04 (10.00)}, 4232 mrnumber = {0252149 (40 \#5374)}, 4233 reviews = {MR 40\#5374, Zbl 186.299}, 4234 printedkey = {Lee70} 4235} 4236@proceedings{ Canberra73, 4237 editor = {Newman, M. F.}, 4238 booktitle = {Proceedings of the Second International Conference on 4239 the Theory of Groups, Canberra, 1973}, 4240 title = {Proceedings of the {S}econd {I}nternational 4241 {C}onference on the {T}heory of {G}roups}, 4242 publisher = {Springer-Verlag}, 4243 series = {Lecture Notes in Math.}, 4244 volume = {372}, 4245 address = {Berlin}, 4246 year = {1974}, 4247 pages = {vii+740}, 4248 note = {Held at the Australian National University, Canberra, 4249 August 13{\textendash}24, 1973, With an introduction 4250 by B. H. Neumann, Lecture Notes in Mathematics, Vol. 4251 372}, 4252 mrclass = {20-06}, 4253 mrnumber = {0344315 (49 \#9054)}, 4254 reviews = {MR 49\#9054, Zbl 282.00012}, 4255 printedkey = {New74} 4256} 4257@proceedings{ Canberra75, 4258 editor = {Bryce, R. A. and Cossey, J. and Newman, M. F.}, 4259 booktitle = {Group theory, Proc. Miniconf., Austral. Nat. Univ., 4260 Canberra, 1975}, 4261 title = {Group theory}, 4262 publisher = {Springer-Verlag}, 4263 series = {Lecture Notes in Math.}, 4264 volume = {573}, 4265 address = {Berlin}, 4266 year = {1977}, 4267 pages = {v+146}, 4268 note = {Lecture Notes in Mathematics, Vol. 573}, 4269 mrclass = {20-06}, 4270 mrnumber = {0430032 (55 \#3040)}, 4271 reviews = {MR 55\#3040, Zbl 342.00008}, 4272 printedkey = {BCN77} 4273} 4274@proceedings{ Bielefeld77, 4275 editor = {Mennicke, J. L.}, 4276 booktitle = {Proceedings of a Workshop held at the University of 4277 Bielefeld, Bielefeld, June{\textendash}July 1977}, 4278 title = {Burnside groups}, 4279 publisher = {Springer}, 4280 series = {Lecture Notes in Mathematics}, 4281 volume = {806}, 4282 address = {Berlin}, 4283 year = {1980}, 4284 pages = {ii+274}, 4285 isbn = {3-540-10006-7}, 4286 mrclass = {20-06}, 4287 mrnumber = {586041 (81j:20002)}, 4288 reviews = {MR 81j:20002, Zbl 424.00008}, 4289 printedkey = {Men80} 4290} 4291@proceedings{ EUROSAM79, 4292 editor = {Ng, E. W.}, 4293 title = {Symbolic and algebraic computation}, 4294 publisher = {Springer-Verlag}, 4295 series = {Lecture Notes in Computer Science}, 4296 volume = {72}, 4297 address = {Berlin}, 4298 year = {1979}, 4299 pages = {xv+557}, 4300 note = {EUROSAM '79, an International Symposium held in 4301 Marseille, June 1979}, 4302 isbn = {3-540-09519-5}, 4303 mrclass = {68-06 (68C20)}, 4304 mrnumber = {575677 (81d:68005)}, 4305 printedkey = {Ng79} 4306} 4307@proceedings{ Durham1982, 4308 editor = {Atkinson, M. D.}, 4309 booktitle = {Proceedings of the London Mathematical Society 4310 symposium held in Durham, July 30{\textendash}August 4311 9, 1982}, 4312 title = {Computational group theory}, 4313 publisher = {Academic Press Inc. [Harcourt Brace Jovanovich 4314 Publishers]}, 4315 address = {London}, 4316 year = {1984}, 4317 pages = {xii+375}, 4318 isbn = {0-12-066270-1}, 4319 mrclass = {20-06 (68-06)}, 4320 mrnumber = {760641 (85g:20001)}, 4321 printedkey = {Atk84} 4322} 4323@proceedings{ GrpsStAndrews81, 4324 editor = {Campbell, C. M. and Robertson, E. F.}, 4325 booktitle = {Proceedings of the International Conference on Groups 4326 held at the Mathematical Institute, University of St 4327 Andrews, St. Andrews, July 25{\textendash}August 8, 4328 1981}, 4329 title = {Groups{\textendash}{S}t. {A}ndrews 1981}, 4330 publisher = {Cambridge University Press}, 4331 series = {London Mathematical Society Lecture Note Series}, 4332 volume = {71}, 4333 address = {Cambridge}, 4334 year = {1982}, 4335 pages = {viii+360}, 4336 isbn = {0-521-28974-2}, 4337 mrclass = {20-06}, 4338 mrnumber = {679152 (83j:20005)}, 4339 printedkey = {CR82} 4340} 4341@proceedings{ Singapore87, 4342 editor = {Cheng, K. N. and Leong, Y. K.}, 4343 booktitle = {Proceedings of the Singapore Group Theory Conference 4344 held at the National University of Singapore, 4345 Singapore, June 8{\textendash}19, 1987}, 4346 title = {Group theory}, 4347 publisher = {Walter de Gruyter \& Co.}, 4348 address = {Berlin}, 4349 year = {1989}, 4350 pages = {xviii + 586}, 4351 isbn = {3-11-011366-X}, 4352 mrclass = {20-06}, 4353 mrnumber = {981831 (89j:20001)}, 4354 printedkey = {CL89} 4355} 4356@proceedings{ MR91, 4357 editor = {Michler, G. O. and Ringel, C. M.}, 4358 booktitle = {Proceedings of the conference held at the University 4359 of Bielefeld, Bielefeld, May 15{\textendash}17, 1991}, 4360 title = {Representation theory of finite groups and 4361 finite-dimensional algebras}, 4362 publisher = {Birkh{\"a}user Verlag}, 4363 series = {Progress in Mathematics}, 4364 volume = {95}, 4365 address = {Basel}, 4366 year = {1991}, 4367 pages = {x+520}, 4368 isbn = {3-7643-2604-2}, 4369 mrclass = {20-06 (00B25 16-06 20Cxx)}, 4370 mrnumber = {1112154 (91m:20005)}, 4371 printedkey = {MR91} 4372} 4373@proceedings{ ISSAC91, 4374 booktitle = {Proceedings of the International Symposium on Symbolic 4375 and Algebraic Computation (ISSAC'91), Bonn 1991}, 4376 title = {Proceedings of the 1991 International Symposium on 4377 Symbolic and Algebraic Computation (ISSAC'91), Bonn 4378 1991}, 4379 publisher = {ACM Press}, 4380 year = {1991}, 4381 printedkey = {NOAUTHOROREDITOR{\textunderscore}SPECIFYKEY} 4382} 4383@proceedings{ ISSAC97, 4384 editor = {K{\"u}chlin, W.}, 4385 title = {Proceedings of the 1997 {I}nternational {S}ymposium on 4386 {S}ymbolic and {A}lgebraic {C}omputation}, 4387 organization = {The Association for Computing Machinery}, 4388 publisher = {Association for Computing Machinery (ACM)}, 4389 address = {New York}, 4390 year = {1997}, 4391 pages = {electronic}, 4392 note = {Held in Kihei, HI, July 21{\textendash}23, 1997}, 4393 key = {ACM}, 4394 mrclass = {68-06 (65-06 68W30)}, 4395 mrnumber = {1809584 (2001i:68010)} 4396} 4397@proceedings{ MR1805195, 4398 editor = {Gloor, O.}, 4399 title = {Proceedings of the 1998 {I}nternational {S}ymposium on 4400 {S}ymbolic and {A}lgebraic {C}omputation}, 4401 organization = {The Association for Computing Machinery}, 4402 publisher = {Association for Computing Machinery (ACM)}, 4403 address = {New York}, 4404 year = {1998}, 4405 pages = {front matter+321 pp. (electronic)}, 4406 note = {Held in Rostock, August 13{\textendash}15, 1998}, 4407 key = {ACM}, 4408 mrclass = {68-06 (00B25 68W30)}, 4409 mrnumber = {1805195 (2001m:68004)} 4410} 4411@proceedings{ DIMACS, 4412 editor = {Finkelstein, L. and Kantor, W. M.}, 4413 booktitle = {Proceedings of the DIMACS Workshop held at Rutgers 4414 University, New Brunswick, New Jersey, October 4415 7{\textendash}10, 1991}, 4416 title = {Groups and computation}, 4417 publisher = {American Mathematical Society}, 4418 series = {DIMACS Series in Discrete Mathematics and Theoretical 4419 Computer Science, 11}, 4420 address = {Providence, RI}, 4421 year = {1993}, 4422 pages = {xx+313}, 4423 isbn = {0-8218-6599-4}, 4424 mrclass = {20-06 (20B40)}, 4425 mrnumber = {1235790 (94c:20003)}, 4426 printedkey = {FK93} 4427} 4428@proceedings{ DIMACS2, 4429 editor = {Finkelstein, L. and Kantor, W. M.}, 4430 booktitle = {Proceedings of the 2nd DIMACS Workshop held at Rutgers 4431 University, New Brunswick, NJ, June 7{\textendash}10, 4432 1995}, 4433 title = {Groups and computation. {II}}, 4434 publisher = {American Mathematical Society}, 4435 series = {DIMACS Series in Discrete Mathematics and Theoretical 4436 Computer Science, 28}, 4437 address = {Providence, RI}, 4438 year = {1997}, 4439 pages = {xviii+382}, 4440 isbn = {0-8218-0516-9}, 4441 mrclass = {20-06 (68-06)}, 4442 mrnumber = {1444126 (97m:20003)}, 4443 printedkey = {FK97} 4444} 4445@proceedings{ DIMACS3, 4446 editor = {Kantor, W. M. and Seress, {\a'A}.}, 4447 booktitle = {Proceedings of the 3rd International Conference held 4448 at The Ohio State University, Columbus, OH, June 4449 15{\textendash}19, 1999}, 4450 title = {Groups and computation. {III}}, 4451 publisher = {Walter de Gruyter \& Co.}, 4452 series = {Ohio State University Mathematical Research Institute 4453 Publications, 8}, 4454 address = {Berlin}, 4455 year = {2001}, 4456 pages = {viii+368}, 4457 isbn = {3-11-016721-2}, 4458 mrclass = {20-06}, 4459 mrnumber = {1829467 (2002d:20003)}, 4460 printedkey = {KS01} 4461} 4462@proceedings{ DIMACS94, 4463 editor = {Baumslag, G. and Epstein, D. and Gilman, R. and Short, 4464 H. and Sims, C.}, 4465 booktitle = {Proceedings of the Joint DIMACS/Geometry Center 4466 Workshop held at the University of Minnesota, 4467 Minneapolis, Minnesota, January 3{\textendash}14, 1994 4468 and Rutgers University, New Brunswick, New Jersey, 4469 March 17{\textendash}20, 1994}, 4470 title = {Geometric and computational perspectives on infinite 4471 groups}, 4472 publisher = {American Mathematical Society}, 4473 series = {DIMACS Series in Discrete Mathematics and Theoretical 4474 Computer Science, 25}, 4475 address = {Providence, RI}, 4476 year = {1996}, 4477 pages = {xvi+212}, 4478 isbn = {0-8218-0449-9}, 4479 mrclass = {20F32 (20-06)}, 4480 mrnumber = {1364175 (96g:20055)}, 4481 printedkey = {BEGSS96} 4482} 4483@proceedings{ Groups93Vol1, 4484 editor = {Campbell, C. M. and Hurley, T. C. and Robertson, E. F. 4485 and Tobin, S. J. and Ward, J. J.}, 4486 booktitle = {Proceedings of the International Conference held at 4487 University College, Galway, August 1{\textendash}14, 4488 1993}, 4489 title = {Groups '93 {G}alway/{S}t. {A}ndrews. {V}ol. 1}, 4490 publisher = {Cambridge University Press}, 4491 series = {London Mathematical Society Lecture Note Series}, 4492 volume = {211}, 4493 address = {Cambridge}, 4494 year = {1995}, 4495 pages = {xii+304}, 4496 isbn = {0-521-47749-2}, 4497 mrclass = {20-06}, 4498 mrnumber = {1342775 (96b:20001a)}, 4499 printedkey = {CHRTW95} 4500} 4501@proceedings{ Groups93Vol2, 4502 editor = {Campbell, C. M. and Hurley, T. C. and Robertson, E. F. 4503 and Tobin, S. J. and Ward, J. J.}, 4504 booktitle = {Proceedings of the International Conference held at 4505 University College, Galway, August 1{\textendash}14, 4506 1993}, 4507 title = {Groups '93 {G}alway/{S}t. {A}ndrews. {V}ol. 2}, 4508 publisher = {Cambridge University Press}, 4509 series = {London Mathematical Society Lecture Note Series}, 4510 volume = {212}, 4511 address = {Cambridge}, 4512 year = {1995}, 4513 pages = {i{\textendash}xii and 305{\textendash}609}, 4514 isbn = {0-521-47750-6}, 4515 mrclass = {20-06}, 4516 mrnumber = {1337278 (96b:20001b)}, 4517 printedkey = {CHRTW95} 4518} 4519@proceedings{ Luminy94, 4520 editor = {Cabanes, M.}, 4521 booktitle = {Proceedings of the International Conference held in 4522 Luminy, October 3{\textendash}7, 1994}, 4523 title = {Finite reductive groups}, 4524 publisher = {Birkh{\"a}user Boston Inc.}, 4525 series = {Progress in Mathematics}, 4526 volume = {141}, 4527 address = {Boston, MA}, 4528 year = {1997}, 4529 pages = {xii+452}, 4530 note = {Related structures and representations}, 4531 isbn = {0-8176-3885-7}, 4532 mrclass = {20-06 (20G40)}, 4533 mrnumber = {1429866 (97i:20001)}, 4534 printedkey = {Cab97} 4535} 4536@proceedings{ ISSAC98, 4537 booktitle = {ISSAC '98: Proceedings of the 1998 international 4538 symposium on Symbolic and algebraic computation}, 4539 title = {ISSAC '98: Proceedings of the 1998 international 4540 symposium on Symbolic and algebraic computation}, 4541 organization = {ACM}, 4542 publisher = {ACM Press}, 4543 address = {New York, NY, USA}, 4544 year = {1998}, 4545 note = {Chairman: Volker Weispfenning and Barry Trager}, 4546 isbn = {1-58113-002-3}, 4547 location = {Rostock, Germany}, 4548 source = {ACM Order No.: 505980, ACM member price \$25}, 4549 printedkey = {NOAUTHOROREDITOR{\textunderscore}SPECIFYKEY} 4550} 4551@article{ MR1820589, 4552 author = {Schur, J.}, 4553 title = {On the representation of the symmetric and alternating 4554 groups by fractional linear substitutions}, 4555 journal = {Internat. J. Theoret. Phys.}, 4556 volume = {40}, 4557 number = {1}, 4558 year = {2001}, 4559 pages = {413{\textendash}458}, 4560 note = {Translated from the German [J. Reine Angew. Math. 139 4561 (1911), 155{\textendash}250] by Marc-Felix Otto}, 4562 coden = {IJTPBM}, 4563 fjournal = {International Journal of Theoretical Physics}, 4564 issn = {0020-7748}, 4565 mrclass = {20C25 (05E05 20C30)}, 4566 mrnumber = {1820589 (2003a:20016)}, 4567 mrreviewer = {Tadeusz J{\a'o}zefiak}, 4568 url = {http://dx.doi.org/10.1023/A:1003772419522}, 4569 doi = {10.1023/A:1003772419522}, 4570 printedkey = {Sch01} 4571} 4572@article{ Schur1911, 4573 author = {Schur, J.}, 4574 title = {{\"U}ber die Darstellung der symmetrischen und der 4575 alternierenden Gruppe durch gebrochene lineare 4576 Substitutionen}, 4577 journal = {Journal f{\"u}r die reine und angewandte Mathematik}, 4578 volume = {139}, 4579 year = {1911}, 4580 pages = {155{\textendash}250}, 4581 url = {http://www.digizeitschriften.de/resolveppn/GDZPPN002167298}, 4582 jfm = {42.0154.02}, 4583 printedkey = {Sch11} 4584} 4585@article{ Maas2010, 4586 author = {Maas, L.}, 4587 title = {On a construction of the basic spin representations of 4588 symmetric groups}, 4589 journal = {Communications in Algebra}, 4590 volume = {38}, 4591 year = {2010}, 4592 pages = {4545{\textendash}4552}, 4593 url = {http://arxiv.org/abs/0911.3794}, 4594 doi = {10.1080/00927872.2010.490541}, 4595 printedkey = {Maa10} 4596} 4597@article{ BLS1975, 4598 author = {Brillhart, J. and Lehmer, D. and Selfridge, J.}, 4599 title = {New primality criteria and factorizations of $2^m \pm 4600 1$}, 4601 journal = {Mathematics of Computation}, 4602 volume = {29}, 4603 year = {1975}, 4604 pages = {620{\textendash}647}, 4605 url = {http://dx.doi.org/10.2307/2005583}, 4606 doi = {10.2307/2005583}, 4607 printedkey = {BLS75} 4608} 4609