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 = {MR1268587 (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 = {MR671329 (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 = {MR883878 (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 = {MR679157 (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 = {MR760644 (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 = {MR0392905 (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 = {MR1226811 (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 = {MR0399265 (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 = {MR0401901 (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 = {MR0304473 (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 = {MR0396729 (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 = {MR1681346 (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 = {MR1681347 (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 = {MR1853124 (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 = {MR1826989}, 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 = {MR1935567 (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 = {MR554857 (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 = {MR1717413 (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 = {MR1672078 (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 = {MR2068084 (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 = {MR2166803 (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 = {MR2166799 (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 = {MR0240238 (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 = {MR968150 (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 = {MR1390375 (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 = {MR1464789 (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 = {MR1633876 (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 = {MR1687309 (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 = {MR1367961 (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 = {MR0293615 (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 = {MR0323910 (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 = {MR1235834 (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 = {MR1235832 (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 = {MR1235830 (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 = {MR781734 (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 = {MR1002568 (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 = {MR0484179 (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 = {MR635200 (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 = {MR613868 (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 = {MR0274237 (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 = {MR913203 (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 = {MR1422147 (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 = {MR695893 (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 = {MR1271082 (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 = {MR1227929 (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 = {MR0069818 (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 = {MR669659 (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 = {MR1015649 (90i:20003)}, 894 mrreviewer = {J. D. 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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 = {MR794307 (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 = {MR1266626 (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 = {MR865891 (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 = {MR0407163 (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 = {MR1013112 (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 = {MR1085773 (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 = {MR1157320 (93c:20067)}, 1067 mrreviewer = {D. F. 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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 = {MR1075422 (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 = {MR827219 (88g:20025)}, 1148 mrreviewer = {R. L. 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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 = {MR1300351 (96a:68048)}, 1177 printedkey = {CF94} 1178} 1179@book{ coxlittleoshea, 1180 author = {Cox, D. and Little, J. and O'Shea, D.}, 1181 title = {Ideals, varieties, and algorithms}, 1182 publisher = {Springer-Verlag}, 1183 edition = {Second}, 1184 series = {Undergraduate Texts in Mathematics}, 1185 address = {New York}, 1186 year = {1997}, 1187 pages = {xiv+536}, 1188 note = {An introduction to computational algebraic geometry 1189 and commutative algebra}, 1190 isbn = {0-387-94680-2}, 1191 mrclass = {13P10 (13-01 14-01 14Qxx 68Q40)}, 1192 mrnumber = {MR1417938 (97h:13024)}, 1193 printedkey = {CLO97} 1194} 1195@book{ CR81, 1196 author = {Curtis, C. W. and Reiner, I.}, 1197 title = {Methods of representation theory. {V}ol. {I}}, 1198 publisher = {John Wiley \& Sons Inc.}, 1199 address = {New York}, 1200 year = {1981}, 1201 pages = {xxi+819}, 1202 note = {With applications to finite groups and orders, Pure 1203 and Applied Mathematics, A Wiley-Interscience 1204 Publication}, 1205 isbn = {0-471-18994-4}, 1206 mrclass = {20-02 (10C30 12A57 20Cxx)}, 1207 mrnumber = {MR632548 (82i:20001)}, 1208 mrreviewer = {J. L. Alperin}, 1209 printedkey = {CR81} 1210} 1211@book{ CR87, 1212 author = {Curtis, C. W. and Reiner, I.}, 1213 title = {Methods of representation theory. {V}ol. {II}}, 1214 publisher = {John Wiley \& Sons Inc.}, 1215 series = {Pure and Applied Mathematics (New York)}, 1216 address = {New York}, 1217 year = {1987}, 1218 pages = {xviii+951}, 1219 note = {With applications to finite groups and orders, A 1220 Wiley-Interscience Publication}, 1221 isbn = {0-471-88871-0}, 1222 mrclass = {20-02 (11Exx 18F25 19A31 19B28 19C99 20Cxx)}, 1223 mrnumber = {MR892316 (88f:20002)}, 1224 mrreviewer = {J. L. Alperin}, 1225 printedkey = {CR87} 1226} 1227@article{ Del72, 1228 author = {Deligne, P.}, 1229 title = {Les immeubles des groupes de tresses 1230 g{\a'e}n{\a'e}ralis{\a'e}s}, 1231 journal = {Invent. Math.}, 1232 volume = {17}, 1233 year = {1972}, 1234 pages = {273{\textendash}302}, 1235 fjournal = {Inventiones Mathematicae}, 1236 issn = {0020-9910}, 1237 mrclass = {32C40 (55A25)}, 1238 mrnumber = {MR0422673 (54 \#10659)}, 1239 mrreviewer = {Alan H. Durfee}, 1240 printedkey = {Del72} 1241} 1242@article{ Deo89, 1243 author = {Deodhar, V. V.}, 1244 title = {A note on subgroups generated by reflections in 1245 {C}oxeter groups}, 1246 journal = {Arch. Math. (Basel)}, 1247 volume = {53}, 1248 number = {6}, 1249 year = {1989}, 1250 pages = {543{\textendash}546}, 1251 coden = {ACVMAL}, 1252 fjournal = {Archiv der Mathematik}, 1253 issn = {0003-889X}, 1254 mrclass = {20H15 (20F55)}, 1255 mrnumber = {MR1023969 (91c:20063)}, 1256 mrreviewer = {Fran{\c c}ois Digne}, 1257 printedkey = {Deo89} 1258} 1259@article{ Dix67, 1260 author = {Dixon, J. D.}, 1261 title = {High speed computation of group characters}, 1262 journal = {Numer. Math.}, 1263 volume = {10}, 1264 year = {1967}, 1265 pages = {446{\textendash}450}, 1266 fjournal = {Numerische Mathematik}, 1267 issn = {0029-599X}, 1268 mrclass = {20.80 (65.00)}, 1269 mrnumber = {MR0224726 (37 \#325)}, 1270 mrreviewer = {D. H. Lehmer}, 1271 printedkey = {Dix67} 1272} 1273@article{ DixonMortimer88, 1274 author = {Dixon, J. D. and Mortimer, B.}, 1275 title = {The primitive permutation groups of degree less than 1276 {$1000$}}, 1277 journal = {Math. Proc. Cambridge Philos. Soc.}, 1278 volume = {103}, 1279 number = {2}, 1280 year = {1988}, 1281 pages = {213{\textendash}238}, 1282 coden = {MPCPCO}, 1283 fjournal = {Mathematical Proceedings of the Cambridge 1284 Philosophical Society}, 1285 issn = {0305-0041}, 1286 mrclass = {20B10 (20B15 20B20)}, 1287 mrnumber = {MR923674 (89b:20014)}, 1288 mrreviewer = {Wolfgang Knapp}, 1289 printedkey = {DM88} 1290} 1291@incollection{ Dix93, 1292 author = {Dixon, J. D.}, 1293 editor = {Finkelstein, L. and Kantor, W. M.}, 1294 booktitle = {Groups and computation (New Brunswick, NJ, 1991)}, 1295 title = {Constructing representations of finite groups}, 1296 publisher = {Amer. Math. Soc.}, 1297 series = {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.}, 1298 volume = {11}, 1299 address = {Providence, RI}, 1300 year = {1993}, 1301 pages = {105{\textendash}112}, 1302 crossref = {DIMACS}, 1303 isbn = {0-8218-6599-4}, 1304 mrclass = {20C15 (20C30)}, 1305 mrnumber = {MR1235797 (94h:20011)}, 1306 mrreviewer = {Peter Fleischmann}, 1307 printedkey = {Dix93} 1308} 1309@article{ Dre69, 1310 author = {Dress, A.}, 1311 title = {A characterisation of solvable groups}, 1312 journal = {Math. Z.}, 1313 volume = {110}, 1314 year = {1969}, 1315 pages = {213{\textendash}217}, 1316 fjournal = {Mathematische Zeitschrift}, 1317 issn = {0025-5874}, 1318 mrclass = {20.80}, 1319 mrnumber = {MR0248239 (40 \#1491)}, 1320 mrreviewer = {R. Schmidt}, 1321 printedkey = {Dre69} 1322} 1323@manual{ DuC91, 1324 author = {DuCloux, F.}, 1325 title = {Coxeter Version 1.0}, 1326 organization = {Universit{\a'e} de Lyon}, 1327 address = {Lyon, France}, 1328 year = {1991}, 1329 printedkey = {DuC91} 1330} 1331@article{ Dye90, 1332 author = {Dyer, M.}, 1333 title = {Reflection subgroups of {C}oxeter systems}, 1334 journal = {J. Algebra}, 1335 volume = {135}, 1336 number = {1}, 1337 year = {1990}, 1338 pages = {57{\textendash}73}, 1339 coden = {JALGA4}, 1340 fjournal = {Journal of Algebra}, 1341 issn = {0021-8693}, 1342 mrclass = {20F55 (17B20 20H15)}, 1343 mrnumber = {MR1076077 (91j:20100)}, 1344 mrreviewer = {Robert B{\a'e}dard}, 1345 printedkey = {Dye90} 1346} 1347@article{ EHR91, 1348 author = {Epstein, D. B. A. and Holt, D. F. and Rees, S. E.}, 1349 title = {The use of {K}nuth-{B}endix methods to solve the word 1350 problem in automatic groups}, 1351 journal = {J. Symbolic Comput.}, 1352 volume = {12}, 1353 number = {4-5}, 1354 year = {1991}, 1355 pages = {397{\textendash}414}, 1356 note = {Computational group theory, Part 2}, 1357 fjournal = {Journal of Symbolic Computation}, 1358 issn = {0747-7171}, 1359 mrclass = {68Q40 (03D40 20F10)}, 1360 mrnumber = {MR1146506 (92m:68052)}, 1361 mrreviewer = {Klaus Madlener}, 1362 printedkey = {EHR91} 1363} 1364@incollection{ Eick97, 1365 author = {Eick, B.}, 1366 editor = {Finkelstein, L. and Kantor, W. M.}, 1367 booktitle = {Groups and computation, II (New Brunswick, NJ, 1995)}, 1368 title = {Special presentations for finite soluble groups and 1369 computing (pre-){F}rattini subgroups}, 1370 publisher = {Amer. Math. Soc.}, 1371 series = {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.}, 1372 volume = {28}, 1373 address = {Providence, RI}, 1374 year = {1997}, 1375 pages = {101{\textendash}112}, 1376 crossref = {DIMACS2}, 1377 isbn = {0-8218-0516-9}, 1378 mrclass = {20D10 (20-04)}, 1379 mrnumber = {MR1444133 (99a:20014)}, 1380 printedkey = {Eic97} 1381} 1382@article{ EGN97, 1383 author = {Eick, B. and G{\"a}hler, F. and Nickel, W.}, 1384 title = {Computing maximal subgroups and {W}yckoff positions of 1385 space groups}, 1386 journal = {Acta Cryst. Sect. A}, 1387 volume = {53}, 1388 number = {4}, 1389 year = {1997}, 1390 pages = {467{\textendash}474}, 1391 coden = {ACACEQ}, 1392 fjournal = {Acta Crystallographica. Section A: Foundations of 1393 Crystallography}, 1394 issn = {0108-7673}, 1395 mrclass = {20H15 (82D25)}, 1396 mrnumber = {MR1461658 (98g:20080)}, 1397 mrreviewer = {Vojt{\v e}ch Kopsk{\a'y}}, 1398 printedkey = {EGN97} 1399} 1400@article{ EickHoefling02, 1401 author = {Eick, B. and H{\"o}fling, B.}, 1402 title = {The solvable primitive permutation groups of degree at 1403 most 6560}, 1404 journal = {LMS J. Comput. Math.}, 1405 volume = {6}, 1406 year = {2003}, 1407 pages = {29{\textendash}39 (electronic)}, 1408 fjournal = {LMS Journal of Computation and Mathematics}, 1409 issn = {1461-1570}, 1410 mrclass = {20B15}, 1411 mrnumber = {MR1971491 (2004a:20005)}, 1412 mrreviewer = {Xianhua Li}, 1413 printedkey = {EH03} 1414} 1415@inproceedings{ EickHulpke01, 1416 author = {Eick, B. and Hulpke, A.}, 1417 title = {Computing the maximal subgroups of a permutation group 1418 {I}}, 1419 pages = {155{\textendash}168}, 1420 crossref = {DIMACS3}, 1421 printedkey = {EH} 1422} 1423@article{ Ellis98, 1424 author = {Ellis, G.}, 1425 title = {On the capability of groups}, 1426 journal = {Proc. Edinburgh Math. Soc. (2)}, 1427 volume = {41}, 1428 number = {3}, 1429 year = {1998}, 1430 pages = {487{\textendash}495}, 1431 coden = {PRMSA3}, 1432 fjournal = {Proceedings of the Edinburgh Mathematical Society. 1433 Series II}, 1434 issn = {0013-0915}, 1435 mrclass = {20E22 (20F28 20J05)}, 1436 mrnumber = {MR1697585 (2000e:20053)}, 1437 mrreviewer = {J. Wiegold}, 1438 printedkey = {Ell98} 1439} 1440@book{ ECHLPT92, 1441 author = {Epstein, D. B. A. and Cannon, J. W. and Holt, D. F. 1442 and Levy, S. V. F. and Paterson, M. S. and Thurston, 1443 W. P.}, 1444 title = {Word processing in groups}, 1445 publisher = {Jones and Bartlett Publishers}, 1446 address = {Boston, MA}, 1447 year = {1992}, 1448 pages = {xii+330}, 1449 isbn = {0-86720-244-0}, 1450 mrclass = {20F10 (03D40 20-02 68Q70)}, 1451 mrnumber = {MR1161694 (93i:20036)}, 1452 mrreviewer = {Richard M. Thomas}, 1453 printedkey = {ECHLPT92} 1454} 1455@incollection{ FJNT95, 1456 author = {Felsch, V. and Johnson, D. L. and Neub{\"u}ser, J. and 1457 Tsaranov, S. V.}, 1458 booktitle = {Groups '93 Galway/St Andrews, Vol. 1 (Galway, 1993)}, 1459 title = {The structure of certain {C}oxeter groups}, 1460 publisher = {Cambridge Univ. Press}, 1461 series = {London Math. Soc. Lecture Note Ser.}, 1462 volume = {211}, 1463 address = {Cambridge}, 1464 year = {1995}, 1465 pages = {177{\textendash}190}, 1466 mrclass = {20F05 (20F55)}, 1467 mrnumber = {MR1342790 (96d:20028)}, 1468 mrreviewer = {Daan Krammer}, 1469 printedkey = {FJNT95} 1470} 1471@incollection{ FS84, 1472 author = {Felsch, V. and Sandl{\"o}bes, G.}, 1473 editor = {Atkinson, M. D.}, 1474 booktitle = {Computational group theory (Durham, 1982)}, 1475 title = {An interactive program for computing subgroups}, 1476 publisher = {Academic Press}, 1477 address = {London}, 1478 year = {1984}, 1479 pages = {137{\textendash}143}, 1480 crossref = {Durham1982}, 1481 isbn = {0-12-066270-1}, 1482 mrclass = {20-04 (20D10 68Q99)}, 1483 mrnumber = {MR760655 (85k:20003)}, 1484 keywords = {groups; subgroup lattice, table of marks; cyclic 1485 extensions; program description}, 1486 printedkey = {FS84} 1487} 1488@incollection{ FelschNeubueser79, 1489 author = {Felsch, V. and Neub{\"u}ser, J.}, 1490 editor = {Ng, E. W.}, 1491 booktitle = {Symbolic and algebraic computation (EUROSAM '79, 1492 Internat. Sympos., Marseille, 1979)}, 1493 title = {An algorithm for the computation of conjugacy classes 1494 and centralizers in {$p$}-groups}, 1495 publisher = {Springer}, 1496 series = {Lecture Notes in Comput. Sci.}, 1497 volume = {72}, 1498 address = {Berlin}, 1499 year = {1979}, 1500 pages = {452{\textendash}465}, 1501 crossref = {EUROSAM79}, 1502 note = {EUROSAM '79, an International Symposium held in 1503 Marseille, June 1979}, 1504 isbn = {3-540-09519-5}, 1505 mrclass = {20-04}, 1506 mrnumber = {MR575705 (82d:20003)}, 1507 mrreviewer = {Colin M. Campbell}, 1508 printedkey = {FN79} 1509} 1510@article{ Fon62, 1511 author = {Fong, P.}, 1512 title = {Solvable groups and modular representation theory}, 1513 journal = {Trans. Amer. Math. Soc.}, 1514 volume = {103}, 1515 year = {1962}, 1516 pages = {484{\textendash}494}, 1517 fjournal = {Transactions of the American Mathematical Society}, 1518 issn = {0002-9947}, 1519 mrclass = {20.80}, 1520 mrnumber = {MR0139667 (25 \#3098)}, 1521 mrreviewer = {D. E. Littlewood}, 1522 printedkey = {Fon62} 1523} 1524@article{ Fra82, 1525 author = {Frame, J. S.}, 1526 title = {Recursive computation of tensor power components}, 1527 journal = {Bayreuth. Math. Schr.}, 1528 volume = {10}, 1529 year = {1982}, 1530 pages = {153{\textendash}159}, 1531 fjournal = {Bayreuther Mathematische Schriften}, 1532 issn = {0172-1062}, 1533 mrclass = {20-04 (20C15)}, 1534 mrnumber = {MR667230 (84a:20001)}, 1535 mrreviewer = {J. McKay}, 1536 printedkey = {Fra82} 1537} 1538@manual{ GAP449, 1539 title = {{GAP{\textendash}Groups, Algorithms, and Programming, 1540 Version 4.4.9}}, 1541 organization = {The GAP{\nobreakspace}Group}, 1542 year = {2006}, 1543 key = {GAP}, 1544 url = {\href {http://www.gap-system.org} 1545 {\texttt{http://www.gap-system.org}}}, 1546 keywords = {groups; *; gap; manual} 1547} 1548@manual{ GAP4, 1549 title = {{GAP{\textendash}Groups, Algorithms, and Programming, 1550 Version 4.4}}, 1551 organization = {The GAP{\nobreakspace}Group}, 1552 year = {2004}, 1553 note = {\href {http://www.gap-system.org} 1554 {\texttt{http://www.gap-system.org}}}, 1555 key = {GAP}, 1556 keywords = {groups; *; gap; manual} 1557} 1558@article{ Gar69, 1559 author = {Garside, F. A.}, 1560 title = {The braid group and other groups}, 1561 journal = {Quart. J. Math. Oxford Ser. (2)}, 1562 volume = {20}, 1563 year = {1969}, 1564 pages = {235{\textendash}254}, 1565 fjournal = {The Quarterly Journal of Mathematics. Oxford. Second 1566 Series}, 1567 mrclass = {55.20}, 1568 mrnumber = {MR0248801 (40 \#2051)}, 1569 mrreviewer = {L. Neuwirth}, 1570 printedkey = {Gar69} 1571} 1572@article{ Gec94, 1573 author = {Geck, M.}, 1574 title = {On the character values of {I}wahori-{H}ecke algebras 1575 of exceptional type}, 1576 journal = {Proc. London Math. Soc. (3)}, 1577 volume = {68}, 1578 number = {1}, 1579 year = {1994}, 1580 pages = {51{\textendash}76}, 1581 coden = {PLMTAL}, 1582 fjournal = {Proceedings of the London Mathematical Society. Third 1583 Series}, 1584 issn = {0024-6115}, 1585 mrclass = {20F55 (20C15)}, 1586 mrnumber = {MR1243835 (94i:20073)}, 1587 mrreviewer = {Fran{\c c}ois Digne}, 1588 printedkey = {Gec94} 1589} 1590@book{ Gec95, 1591 author = {Geck, M.}, 1592 title = {Beitr{\"a}ge zur {D}arstellungstheorie von 1593 {I}wahori-{H}ecke {A}lgebren}, 1594 publisher = {Verlag der Augustinus Buchhandlung, Aachen}, 1595 series = {Aachener Beitr{\"a}ge zur Mathematik}, 1596 volume = {11}, 1597 year = {1995}, 1598 printedkey = {Gec95} 1599} 1600@article{ GK96, 1601 author = {Geck, M. and Kim, S.}, 1602 title = {Bases for the {B}ruhat-{C}hevalley order on all finite 1603 {C}oxeter groups}, 1604 journal = {J. Algebra}, 1605 volume = {197}, 1606 number = {1}, 1607 year = {1997}, 1608 pages = {278{\textendash}310}, 1609 coden = {JALGA4}, 1610 fjournal = {Journal of Algebra}, 1611 issn = {0021-8693}, 1612 mrclass = {20F55 (06A07)}, 1613 mrnumber = {MR1480786 (98k:20066)}, 1614 mrreviewer = {Andrew Mathas}, 1615 printedkey = {GK97} 1616} 1617@article{ GM97, 1618 author = {Geck, M. and Michel, J.}, 1619 title = {``{G}ood'' elements of finite {C}oxeter groups and 1620 representations of {I}wahori-{H}ecke algebras}, 1621 journal = {Proc. London Math. Soc. (3)}, 1622 volume = {74}, 1623 number = {2}, 1624 year = {1997}, 1625 pages = {275{\textendash}305}, 1626 coden = {PLMTAL}, 1627 fjournal = {Proceedings of the London Mathematical Society. Third 1628 Series}, 1629 issn = {0024-6115}, 1630 mrclass = {20F55 (20C20)}, 1631 mrnumber = {MR1425324 (97i:20050)}, 1632 mrreviewer = {Stephen P. Humphries}, 1633 printedkey = {GM97} 1634} 1635@article{ GP93, 1636 author = {Geck, M. and Pfeiffer, G.}, 1637 title = {On the irreducible characters of {H}ecke algebras}, 1638 journal = {Adv. Math.}, 1639 volume = {102}, 1640 number = {1}, 1641 year = {1993}, 1642 pages = {79{\textendash}94}, 1643 coden = {ADMTA4}, 1644 fjournal = {Advances in Mathematics}, 1645 issn = {0001-8708}, 1646 mrclass = {20C15}, 1647 mrnumber = {MR1250466 (94m:20018)}, 1648 mrreviewer = {Hiroshi Naruse}, 1649 printedkey = {GP93} 1650} 1651@article{ Chv96, 1652 author = {Geck, M. and Hiss, G. and L{\"u}beck, F. and Malle, G. 1653 and Pfeiffer, G.}, 1654 title = {C{HEVIE}{\textendash}a system for computing and 1655 processing generic character tables}, 1656 journal = {Appl. Algebra Engrg. Comm. Comput.}, 1657 volume = {7}, 1658 number = {3}, 1659 year = {1996}, 1660 pages = {175{\textendash}210}, 1661 note = {Computational methods in Lie theory (Essen, 1994)}, 1662 coden = {AAECEW}, 1663 fjournal = {Applicable Algebra in Engineering, Communication and 1664 Computing}, 1665 issn = {0938-1279}, 1666 mrclass = {20C40 (20C33)}, 1667 mrnumber = {MR1486215 (99m:20017)}, 1668 printedkey = {GHLMP96} 1669} 1670@phdthesis{ Gla87, 1671 author = {Glasby, S. P.}, 1672 title = {Computational Approaches to the Theory of Finite 1673 Soluble Groups}, 1674 school = {Department of Pure Mathematics, University of Sydney}, 1675 address = {Sydney, Australia}, 1676 year = {1987}, 1677 printedkey = {Gla87}, 1678 type = {Phd thesis} 1679} 1680@article{ GS90, 1681 author = {Glasby, S. P. and Slattery, M. C.}, 1682 title = {Computing intersections and normalizers in soluble 1683 groups}, 1684 journal = {J. Symbolic Comput.}, 1685 volume = {9}, 1686 number = {5-6}, 1687 year = {1990}, 1688 pages = {637{\textendash}651}, 1689 note = {Computational group theory, Part 1}, 1690 fjournal = {Journal of Symbolic Computation}, 1691 issn = {0747-7171}, 1692 mrclass = {20D10}, 1693 mrnumber = {MR1075428 (91j:20044)}, 1694 mrreviewer = {Patrizia Longobardi}, 1695 printedkey = {GS90} 1696} 1697@book{ GKP90, 1698 author = {Graham, R. L. and Knuth, D. E. and Patashnik, O.}, 1699 title = {Concrete mathematics}, 1700 publisher = {Addison-Wesley Publishing Company Advanced Book 1701 Program}, 1702 address = {Reading, MA}, 1703 year = {1989}, 1704 pages = {xiv+625}, 1705 note = {A foundation for computer science}, 1706 isbn = {0-201-14236-8}, 1707 mrclass = {00A05 (00-01 05-01 68-01 68Rxx)}, 1708 mrnumber = {MR1001562 (91f:00001)}, 1709 mrreviewer = {Volker Strehl}, 1710 printedkey = {GKP89} 1711} 1712@article{ HalvRam94, 1713 author = {Halverson, T. and Ram, A.}, 1714 title = {Murnaghan-{N}akayama rules for characters of 1715 {I}wahori-{H}ecke algebras of classical type}, 1716 journal = {Trans. Amer. Math. Soc.}, 1717 volume = {348}, 1718 number = {10}, 1719 year = {1996}, 1720 pages = {3967{\textendash}3995}, 1721 coden = {TAMTAM}, 1722 fjournal = {Transactions of the American Mathematical Society}, 1723 issn = {0002-9947}, 1724 mrclass = {20C15}, 1725 mrnumber = {MR1322951 (96m:20011)}, 1726 mrreviewer = {Fran{\c c}ois Digne}, 1727 printedkey = {HR96} 1728} 1729@book{ Hah83, 1730 editor = {Hahn, T.}, 1731 title = {International tables for crystallography. {V}ol. {A}}, 1732 publisher = {Published for International Union of Crystallography, 1733 Chester}, 1734 year = {1983}, 1735 pages = {xv+854}, 1736 note = {Space-group symmetry}, 1737 isbn = {90-277-1445-2}, 1738 mrclass = {82A60 (00A69 20C35 20H15 82-02)}, 1739 mrnumber = {MR817988 (87i:82092)}, 1740 mrreviewer = {Vojt{\v e}ch Kopsk{\a'y}}, 1741 printedkey = {Hah83} 1742} 1743@book{ Hah95, 1744 editor = {Hahn, T.}, 1745 booktitle = {International Tables for Crystallography, 1746 \texttt{\symbol{123}}V\texttt{\symbol{125}}ol. 1747 \texttt{\symbol{123}}A\texttt{\symbol{125}}}, 1748 title = {International Tables for Crystallography, {V}ol. {A}}, 1749 publisher = {Kluwer, Dordrecht}, 1750 edition = {4th}, 1751 year = {1995}, 1752 note = {Space-group symmetry}, 1753 printedkey = {Hah95} 1754} 1755@book{ Hall, 1756 author = {Hall Jr., M.}, 1757 title = {The theory of groups}, 1758 publisher = {The Macmillan Co.}, 1759 address = {New York, N.Y.}, 1760 year = {1959}, 1761 pages = {xiii+434}, 1762 mrclass = {20.00}, 1763 mrnumber = {MR0103215 (21 \#1996)}, 1764 mrreviewer = {R. H. Bruck}, 1765 printedkey = {HJ59} 1766} 1767@book{ HS64, 1768 author = {Hall Jr., M. and Senior, J. K.}, 1769 title = {The groups of order {$2^{n} (n \leq 6)$}}, 1770 publisher = {The Macmillan Co.}, 1771 address = {New York}, 1772 year = {1964}, 1773 pages = {225}, 1774 mrclass = {20.00}, 1775 mrnumber = {MR0168631 (29 \#5889)}, 1776 mrreviewer = {Michael Rosen}, 1777 printedkey = {JS64} 1778} 1779@article{ Hal36, 1780 author = {Hall, P.}, 1781 title = {The {E}ulerian functions of a group}, 1782 journal = {Quarterly J. Of Mathematics}, 1783 volume = {os-7}, 1784 number = {1}, 1785 year = {1936}, 1786 pages = {134{\textendash}151}, 1787 printedkey = {Hal36} 1788} 1789@phdthesis{ Han88, 1790 author = {Hanrath, W.}, 1791 title = {Irreduzible {D}arstellungen von {R}aumgruppen}, 1792 school = {Rheinisch Westf{\"a}lische Technische Hochschule}, 1793 address = {Aachen, Germany}, 1794 year = {1988}, 1795 printedkey = {Han88}, 1796 type = {Dissertation} 1797} 1798@techreport{ Hav69, 1799 author = {Havas, G.}, 1800 title = {Symbolic and Algebraic Calculation}, 1801 institution = {Basser Department of Computer Science, University of 1802 Sydney}, 1803 number = {89}, 1804 address = {Sydney, Australia}, 1805 year = {1969}, 1806 keywords = {finitely presented groups; simplification; Tietze 1807 transformations}, 1808 printedkey = {Hav69}, 1809 type = {Basser Computing Dept., Technical Report} 1810} 1811@inproceedings{ Hav74b, 1812 author = {Havas, G.}, 1813 editor = {Newman, M. F.}, 1814 booktitle = {Proceedings of the Second International Conference on 1815 the Theory of Groups (Australian Nat. Univ., Canberra, 1816 1973)}, 1817 title = {A {R}eidemeister-{S}chreier program}, 1818 publisher = {Springer}, 1819 series = {Lecture Notes in Math.}, 1820 volume = {372}, 1821 address = {Berlin}, 1822 year = {1974}, 1823 pages = {347{\textendash}356. Lecture Notes in Math., Vol. 372}, 1824 crossref = {Canberra73}, 1825 note = {Held at the Australian National University, Canberra, 1826 August 13{\textendash}24, 1973, With an introduction 1827 by B. H. Neumann, Lecture Notes in Mathematics, Vol. 1828 372}, 1829 mrclass = {20-04}, 1830 mrnumber = {MR0376827 (51 \#13002)}, 1831 mrreviewer = {F. Levin}, 1832 reviews = {MR 49\#9054, Zbl 282.00012}, 1833 keywords = {finitely presented groups; subgroup presentation; 1834 Reidemeister Schreier (rs); program description}, 1835 printedkey = {Hav74} 1836} 1837@inproceedings{ Hav91, 1838 author = {Havas, G.}, 1839 booktitle = {Proceedings of the International Symposium on Symbolic 1840 and Algebraic Computation (ISSAC'91), Bonn 1991}, 1841 title = {Coset enumeration strategies}, 1842 publisher = {ACM Press}, 1843 year = {1991}, 1844 pages = {191{\textendash}199}, 1845 crossref = {ISSAC91}, 1846 printedkey = {Hav91} 1847} 1848@article{ HM97, 1849 author = {Havas, G. and Majewski, B. S.}, 1850 title = {Integer matrix diagonalization}, 1851 journal = {J. Symbolic Comput.}, 1852 volume = {24}, 1853 number = {3-4}, 1854 year = {1997}, 1855 pages = {399{\textendash}408}, 1856 note = {Computational algebra and number theory (London, 1993)}, 1857 fjournal = {Journal of Symbolic Computation}, 1858 issn = {0747-7171}, 1859 mrclass = {65F30 (65Y20)}, 1860 mrnumber = {MR1484488 (98g:65039)}, 1861 printedkey = {HM97} 1862} 1863@incollection{ HN80, 1864 author = {Havas, G. and Newman, M. F.}, 1865 editor = {Mennicke, J. L.}, 1866 booktitle = {Burnside groups (Proc. Workshop, Univ. Bielefeld, 1867 Bielefeld, 1977)}, 1868 title = {Application of computers to questions like those of 1869 {B}urnside}, 1870 publisher = {Springer}, 1871 series = {Lecture Notes in Math.}, 1872 volume = {806}, 1873 address = {Berlin}, 1874 year = {1980}, 1875 pages = {211{\textendash}230}, 1876 crossref = {Bielefeld77}, 1877 isbn = {3-540-10006-7}, 1878 mrclass = {20-04 (20F50)}, 1879 mrnumber = {MR586047 (82d:20002)}, 1880 mrreviewer = {Colin M. Campbell}, 1881 reviews = {MR 81j:20002, Zbl 424.00008}, 1882 keywords = {finitely presentend groups; Burnside groups; nilpotent 1883 quotient}, 1884 printedkey = {HN80} 1885} 1886@incollection{ HKRR84, 1887 author = {Havas, G. and Kenne, P. E. and Richardson, J. S. and 1888 Robertson, E. F.}, 1889 editor = {Atkinson, M. D.}, 1890 booktitle = {Computational group theory (Durham, 1982)}, 1891 title = {A {T}ietze transformation program}, 1892 publisher = {Academic Press}, 1893 address = {London}, 1894 year = {1984}, 1895 pages = {69{\textendash}73}, 1896 crossref = {Durham1982}, 1897 isbn = {0-12-066270-1}, 1898 mrclass = {20F05 (20-04)}, 1899 mrnumber = {MR760651 (86b:20039)}, 1900 keywords = {finitely presented groups; simplification; Tietze}, 1901 printedkey = {HKRR84} 1902} 1903@article{ HIO89, 1904 author = {Hawkes, T. and Isaacs, I. M. and {\"O}zaydin, M.}, 1905 title = {On the {M}{\"o}bius function of a finite group}, 1906 journal = {Rocky Mountain J. Math.}, 1907 volume = {19}, 1908 number = {4}, 1909 year = {1989}, 1910 pages = {1003{\textendash}1034}, 1911 coden = {RMJMAE}, 1912 fjournal = {The Rocky Mountain Journal of Mathematics}, 1913 issn = {0035-7596}, 1914 mrclass = {20D30}, 1915 mrnumber = {MR1039540 (90k:20046)}, 1916 mrreviewer = {David Gluck}, 1917 printedkey = {HI{\"O}89} 1918} 1919@misc{ HJLP92, 1920 author = {Hiss, G. and Jansen, C. and Lux, K. and Parker, R. A.}, 1921 title = {Computational {M}odular {C}haracter {T}heory}, 1922 howpublished = {\href {http://www.math.rwth-aachen.de/~MOC/CoMoChaT/} 1923 {\texttt{http://www.math.rwth-aachen.de/}\discretionary 1924 {}{}{}\texttt{\texttt{\symbol{126}}MOC/}\discretionary 1925 {}{}{}\texttt{CoMoChaT/}}}, 1926 printedkey = {HJLP} 1927} 1928@incollection{ Holt94, 1929 author = {Holt, D. F.}, 1930 booktitle = {Geometric and computational perspectives on infinite 1931 groups (Minneapolis, MN and New Brunswick, NJ, 1994)}, 1932 title = {The {W}arwick automatic groups software}, 1933 publisher = {Amer. Math. Soc.}, 1934 series = {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.}, 1935 volume = {25}, 1936 address = {Providence, RI}, 1937 year = {1996}, 1938 pages = {69{\textendash}82}, 1939 mrclass = {20F10 (03D40 20-04 68Q40)}, 1940 mrnumber = {MR1364180 (96m:20052)}, 1941 mrreviewer = {Sarah E. Rees}, 1942 printedkey = {Hol96} 1943} 1944@article{ HLOR96a, 1945 author = {Holt, D. F. and Leedham-Green, C. R. and O'Brien, E. 1946 A. and Rees, S.}, 1947 title = {Computing matrix group decompositions with respect to 1948 a normal subgroup}, 1949 journal = {J. Algebra}, 1950 volume = {184}, 1951 number = {3}, 1952 year = {1996}, 1953 pages = {818{\textendash}838}, 1954 coden = {JALGA4}, 1955 fjournal = {Journal of Algebra}, 1956 issn = {0021-8693}, 1957 mrclass = {20C40 (20B40)}, 1958 mrnumber = {MR1407872 (97m:20021)}, 1959 mrreviewer = {Wolfgang Lempken}, 1960 printedkey = {HLOR96} 1961} 1962@article{ HLOR96b, 1963 author = {Holt, D. F. and Leedham-Green, C. R. and O'Brien, E. 1964 A. and Rees, S.}, 1965 title = {Testing matrix groups for primitivity}, 1966 journal = {J. Algebra}, 1967 volume = {184}, 1968 number = {3}, 1969 year = {1996}, 1970 pages = {795{\textendash}817}, 1971 coden = {JALGA4}, 1972 fjournal = {Journal of Algebra}, 1973 issn = {0021-8693}, 1974 mrclass = {20C40 (20B40)}, 1975 mrnumber = {MR1407871 (97m:20020)}, 1976 mrreviewer = {Wolfgang Lempken}, 1977 printedkey = {HLOR96} 1978} 1979@book{ HP89, 1980 author = {Holt, D. F. and Plesken, W.}, 1981 title = {Perfect groups}, 1982 publisher = {The Clarendon Press Oxford University Press}, 1983 series = {Oxford Mathematical Monographs}, 1984 address = {New York}, 1985 year = {1989}, 1986 pages = {xii+364}, 1987 note = {With an appendix by W. Hanrath, Oxford Science 1988 Publications}, 1989 isbn = {0-19-853559-7}, 1990 mrclass = {20D05 (20F05)}, 1991 mrnumber = {MR1025760 (91c:20029)}, 1992 mrreviewer = {M. Ram Murty}, 1993 printedkey = {HP89} 1994} 1995@article{ HR94, 1996 author = {Holt, D. F. and Rees, S.}, 1997 title = {Testing modules for irreducibility}, 1998 journal = {J. Austral. Math. Soc. Ser. A}, 1999 volume = {57}, 2000 number = {1}, 2001 year = {1994}, 2002 pages = {1{\textendash}16}, 2003 coden = {JAMADS}, 2004 fjournal = {Australian Mathematical Society. Journal. Series A. 2005 Pure Mathematics and Statistics}, 2006 issn = {0263-6115}, 2007 mrclass = {20C40}, 2008 mrnumber = {MR1279282 (95e:20023)}, 2009 mrreviewer = {Herbert Pahlings}, 2010 printedkey = {HR94} 2011} 2012@incollection{ HR99a, 2013 author = {Havas, G. and Ramsay, C.}, 2014 editor = {Kantor, W. M. and Seress, {\a'A}.}, 2015 booktitle = {Groups and computation, III (Columbus, OH, 1999)}, 2016 title = {Experiments in coset enumeration}, 2017 publisher = {de Gruyter}, 2018 series = {Ohio State Univ. Math. Res. Inst. Publ.}, 2019 volume = {8}, 2020 address = {Berlin}, 2021 year = {2001}, 2022 pages = {183{\textendash}192}, 2023 crossref = {DIMACS3}, 2024 isbn = {3-11-016721-2}, 2025 mrclass = {20F05 (20-04)}, 2026 mrnumber = {MR1829479 (2002e:20064)}, 2027 mrreviewer = {Sarah E. Rees}, 2028 printedkey = {HR01} 2029} 2030@article{ HR99b, 2031 author = {Havas, G. and Ramsay, C.}, 2032 title = {Proving a group trivial made easy: a case study in 2033 coset enumeration}, 2034 journal = {Bull. Austral. Math. Soc.}, 2035 volume = {62}, 2036 number = {1}, 2037 year = {2000}, 2038 pages = {105{\textendash}118}, 2039 coden = {ALNBAB}, 2040 fjournal = {Bulletin of the Australian Mathematical Society}, 2041 issn = {0004-9727}, 2042 mrclass = {20F05}, 2043 mrnumber = {MR1775892 (2002j:20061)}, 2044 mrreviewer = {E. F. Robertson}, 2045 printedkey = {HR00} 2046} 2047@book{ Howie76, 2048 author = {Howie, J. M.}, 2049 title = {An introduction to semigroup theory}, 2050 publisher = {Academic Press [Harcourt Brace Jovanovich Publishers]}, 2051 address = {London}, 2052 year = {1976}, 2053 pages = {x+272}, 2054 note = {L.M.S. Monographs, No. 7}, 2055 mrclass = {20MXX}, 2056 mrnumber = {MR0466355 (57 \#6235)}, 2057 mrreviewer = {T. E. Hall}, 2058 printedkey = {How76} 2059} 2060@mastersthesis{ Hulpke93, 2061 author = {Hulpke, A.}, 2062 title = {{Zur Berechnung von Charaktertafeln}}, 2063 school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch 2064 Westf{\"a}lische Technische Hochschule}, 2065 year = {1993}, 2066 printedkey = {Hul93}, 2067 type = {Diplomarbeit} 2068} 2069@phdthesis{ Hulpke96, 2070 author = {Hulpke, A.}, 2071 title = {Konstruktion transitiver {P}ermutationsgruppen}, 2072 publisher = {Verlag der Augustinus Buchhandlung, Aachen}, 2073 school = {Rheinisch Westf{\"a}lische Technische Hochschule}, 2074 address = {Aachen, Germany}, 2075 year = {1996}, 2076 printedkey = {Hul96}, 2077 type = {Dissertation} 2078} 2079@inproceedings{ Hulpke98, 2080 author = {Hulpke, A.}, 2081 booktitle = {Proceedings of the 1998 International Symposium on 2082 Symbolic and Algebraic Computation (Rostock)}, 2083 title = {Computing normal subgroups}, 2084 publisher = {ACM}, 2085 address = {New York}, 2086 year = {1998}, 2087 pages = {194{\textendash}198 (electronic)}, 2088 crossref = {ISSAC98}, 2089 note = {Chairman: Volker Weispfenning and Barry Trager}, 2090 isbn = {1-58113-002-3}, 2091 location = {Rostock, Germany}, 2092 mrclass = {20-04 (68W30)}, 2093 mrnumber = {MR1805183}, 2094 source = {ACM Order No.: 505980, ACM member price \$25}, 2095 printedkey = {Hul98} 2096} 2097@article{ Hulpke99, 2098 author = {Hulpke, A.}, 2099 title = {Computing subgroups invariant under a set of 2100 automorphisms}, 2101 journal = {J. Symbolic Comput.}, 2102 volume = {27}, 2103 number = {4}, 2104 year = {1999}, 2105 pages = {415{\textendash}427}, 2106 fjournal = {Journal of Symbolic Computation}, 2107 issn = {0747-7171}, 2108 mrclass = {20-04 (20D30)}, 2109 mrnumber = {MR1681348 (2000a:20001)}, 2110 mrreviewer = {D. F. Holt}, 2111 printedkey = {Hul99} 2112} 2113@article{ HulpkeClasses, 2114 author = {Hulpke, A.}, 2115 title = {Conjugacy classes in finite permutation groups via 2116 homomorphic images}, 2117 journal = {Math. Comp.}, 2118 volume = {69}, 2119 number = {232}, 2120 year = {2000}, 2121 pages = {1633{\textendash}1651}, 2122 coden = {MCMPAF}, 2123 fjournal = {Mathematics of Computation}, 2124 issn = {0025-5718}, 2125 mrclass = {20B40}, 2126 mrnumber = {MR1659847 (2001a:20006)}, 2127 mrreviewer = {Alberto Delgado}, 2128 printedkey = {Hul00} 2129} 2130@article{ HulpkeQuot, 2131 author = {Hulpke, A.}, 2132 title = {Representing subgroups of finitely presented groups by 2133 quotient subgroups}, 2134 journal = {Experiment. Math.}, 2135 volume = {10}, 2136 number = {3}, 2137 year = {2001}, 2138 pages = {369{\textendash}381}, 2139 fjournal = {Experimental Mathematics}, 2140 issn = {1058-6458}, 2141 mrclass = {20F05 (20C34 20C40 68W30)}, 2142 mrnumber = {MR1917425 (2003i:20049)}, 2143 mrreviewer = {Dmitrii V. Pasechnik}, 2144 printedkey = {Hul01} 2145} 2146@article{ HulpkeTG, 2147 author = {Hulpke, A.}, 2148 title = {Constructing transitive permutation groups}, 2149 journal = {J. Symbolic Comput.}, 2150 volume = {39}, 2151 number = {1}, 2152 year = {2005}, 2153 pages = {1{\textendash}30}, 2154 fjournal = {Journal of Symbolic Computation}, 2155 issn = {0747-7171}, 2156 mrclass = {20B10 (20B35)}, 2157 mrnumber = {MR2168238 (2006e:20004)}, 2158 mrreviewer = {J. Quistorff}, 2159 printedkey = {Hul05} 2160} 2161@book{ Hum72, 2162 author = {Humphreys, J. E.}, 2163 title = {Introduction to {L}ie algebras and representation 2164 theory}, 2165 publisher = {Springer-Verlag}, 2166 address = {New York}, 2167 year = {1972}, 2168 pages = {xii+169}, 2169 note = {Graduate Texts in Mathematics, Vol. 9}, 2170 mrclass = {17BXX}, 2171 mrnumber = {MR0323842 (48 \#2197)}, 2172 mrreviewer = {F. W. Lemire}, 2173 printedkey = {Hum72} 2174} 2175@book{ Hum78, 2176 author = {Humphreys, J. E.}, 2177 title = {Introduction to {L}ie algebras and representation 2178 theory}, 2179 publisher = {Springer-Verlag}, 2180 series = {Graduate Texts in Mathematics}, 2181 volume = {9}, 2182 address = {New York}, 2183 year = {1978}, 2184 pages = {xii+171}, 2185 note = {Second printing, revised}, 2186 isbn = {0-387-90053-5}, 2187 mrclass = {17Bxx}, 2188 mrnumber = {MR499562 (81b:17007)}, 2189 mrreviewer = {I. P. Shestakov}, 2190 printedkey = {Hum78} 2191} 2192@book{ Hum90, 2193 author = {Humphreys, J. E.}, 2194 title = {Reflection groups and {C}oxeter groups}, 2195 publisher = {Cambridge University Press}, 2196 series = {Cambridge Studies in Advanced Mathematics}, 2197 volume = {29}, 2198 address = {Cambridge}, 2199 year = {1990}, 2200 pages = {xii+204}, 2201 isbn = {0-521-37510-X}, 2202 mrclass = {20-02 (20F32 20F55 20G15 20H15)}, 2203 mrnumber = {MR1066460 (92h:20002)}, 2204 mrreviewer = {Louis Solomon}, 2205 printedkey = {Hum90} 2206} 2207@book{ Hum90, 2208 author = {Humphreys, J. E.}, 2209 title = {Reflection groups and {C}oxeter groups}, 2210 publisher = {Cambridge University Press}, 2211 series = {Cambridge Studies in Advanced Mathematics}, 2212 volume = {29}, 2213 address = {Cambridge}, 2214 year = {1990}, 2215 pages = {xii+204}, 2216 isbn = {0-521-37510-X}, 2217 mrclass = {20-02 (20F32 20F55 20G15 20H15)}, 2218 mrnumber = {MR1066460 (92h:20002)}, 2219 mrreviewer = {Louis Solomon}, 2220 printedkey = {Hum90} 2221} 2222@book{ Hup67, 2223 author = {Huppert, B.}, 2224 title = {Endliche {G}ruppen. {I}}, 2225 publisher = {Springer-Verlag}, 2226 series = {Die Grundlehren der Mathematischen Wissenschaften, 2227 Band 134}, 2228 address = {Berlin}, 2229 year = {1967}, 2230 pages = {xii+793}, 2231 mrclass = {20.25}, 2232 mrnumber = {MR0224703 (37 \#302)}, 2233 mrreviewer = {J. H. Walter}, 2234 printedkey = {Hup67} 2235} 2236@book{ Hup82, 2237 author = {Huppert, B. and Blackburn, N.}, 2238 title = {Finite groups. {II}}, 2239 publisher = {Springer-Verlag}, 2240 series = {Grundlehren Math. Wiss.}, 2241 volume = {242}, 2242 address = {Berlin}, 2243 year = {1982}, 2244 pages = {xiii+531}, 2245 isbn = {3-540-10632-4}, 2246 mrclass = {20-02 (20Dxx)}, 2247 mrnumber = {MR650245 (84i:20001a)}, 2248 printedkey = {HB82} 2249} 2250@book{ Hup98, 2251 author = {Huppert, B.}, 2252 title = {Character theory of finite groups}, 2253 publisher = {Walter de Gruyter \& Co.}, 2254 series = {de Gruyter Expositions in Mathematics}, 2255 volume = {25}, 2256 address = {Berlin}, 2257 year = {1998}, 2258 pages = {vi+618}, 2259 isbn = {3-11-015421-8}, 2260 mrclass = {20C15 (20C05 20C10)}, 2261 mrnumber = {MR1645304 (99j:20011)}, 2262 mrreviewer = {Gerhard Hiss}, 2263 printedkey = {Hup98} 2264} 2265@book{ Isa76, 2266 author = {Isaacs, I. M.}, 2267 title = {Character theory of finite groups}, 2268 publisher = {Academic Press [Harcourt Brace Jovanovich Publishers]}, 2269 address = {New York}, 2270 year = {1976}, 2271 pages = {xii+303}, 2272 note = {Pure and Applied Mathematics, No. 69}, 2273 isbn = {0-12-374550-0}, 2274 mrclass = {20-02}, 2275 mrnumber = {MR0460423 (57 \#417)}, 2276 mrreviewer = {Stephen D. Smith}, 2277 printedkey = {Isa76} 2278} 2279@article{ IshibashiEarnest94, 2280 author = {Ishibashi, H. and Earnest, A. G.}, 2281 title = {Two-element generation of orthogonal groups over 2282 finite fields}, 2283 journal = {J. Algebra}, 2284 volume = {165}, 2285 number = {1}, 2286 year = {1994}, 2287 pages = {164{\textendash}171}, 2288 coden = {JALGA4}, 2289 fjournal = {Journal of Algebra}, 2290 issn = {0021-8693}, 2291 mrclass = {20G40 (20F05)}, 2292 mrnumber = {MR1272584 (95b:20069)}, 2293 mrreviewer = {Jia-Chen Ye}, 2294 printedkey = {IE94} 2295} 2296@article{ MR1398123, 2297 author = {Ishibashi, H. and Earnest, A. G.}, 2298 title = {Addendum: ``{T}wo-element generation of orthogonal 2299 groups over finite fields'' [{J}. {A}lgebra {\bf 165} 2300 (1994), no. 1, 164{\textendash}171; {MR}1272584 2301 (95b:20069)]}, 2302 journal = {J. Algebra}, 2303 volume = {182}, 2304 number = {3}, 2305 year = {1996}, 2306 pages = {805}, 2307 coden = {JALGA4}, 2308 fjournal = {Journal of Algebra}, 2309 issn = {0021-8693}, 2310 mrclass = {20G40 (20F05)}, 2311 mrnumber = {MR1398123 (97d:20061)}, 2312 printedkey = {IE96} 2313} 2314@article{ MR1305274, 2315 author = {Ishibashi, H. and Earnest, A. G.}, 2316 title = {Erratum: ``{T}wo-element generation of orthogonal 2317 groups over finite fields'' [{J}. {A}lgebra {\bf 165} 2318 (1994), no. 1, 164{\textendash}171; {MR}1272584 2319 (95b:20069)]}, 2320 journal = {J. Algebra}, 2321 volume = {170}, 2322 number = {3}, 2323 year = {1994}, 2324 pages = {1035}, 2325 coden = {JALGA4}, 2326 fjournal = {Journal of Algebra}, 2327 issn = {0021-8693}, 2328 mrclass = {20G40 (20F05)}, 2329 mrnumber = {MR1305274 (95h:20062)}, 2330 printedkey = {IE94} 2331} 2332@book{ JLPW95, 2333 author = {Jansen, C. and Lux, K. and Parker, R. and Wilson, R.}, 2334 title = {An atlas of {B}rauer characters}, 2335 publisher = {The Clarendon Press Oxford University Press}, 2336 series = {London Mathematical Society Monographs. New Series}, 2337 volume = {11}, 2338 address = {New York}, 2339 year = {1995}, 2340 pages = {xviii+327}, 2341 note = {Appendix 2 by T. Breuer and S. Norton, Oxford Science 2342 Publications}, 2343 isbn = {0-19-851481-6}, 2344 mrclass = {20C20 (20-00 20D06 20D08)}, 2345 mrnumber = {MR1367961 (96k:20016)}, 2346 mrreviewer = {J. L. Alperin}, 2347 printedkey = {JLPW95} 2348} 2349@book{ Joh97, 2350 author = {Johnson, D. L.}, 2351 title = {Presentations of groups}, 2352 publisher = {Cambridge University Press}, 2353 edition = {Second}, 2354 series = {London Mathematical Society Student Texts}, 2355 volume = {15}, 2356 address = {Cambridge}, 2357 year = {1997}, 2358 pages = {xii+216}, 2359 isbn = {0-521-58542-2}, 2360 mrclass = {20-01 (20F05)}, 2361 mrnumber = {MR1472735 (98e:20001)}, 2362 printedkey = {Joh97} 2363} 2364@mastersthesis{ Kaup92, 2365 author = {Kaup, A.}, 2366 title = {Gitterbasen und {C}haraktere endlicher {G}ruppen}, 2367 school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch 2368 Westf{\"a}lische Technische Hochschule}, 2369 address = {Aachen, Germany}, 2370 year = {1992}, 2371 printedkey = {Kau92}, 2372 type = {Diplomarbeit} 2373} 2374@article{ KL79, 2375 author = {Kazhdan, D. and Lusztig, G.}, 2376 title = {Representations of {C}oxeter groups and {H}ecke 2377 algebras}, 2378 journal = {Invent. Math.}, 2379 volume = {53}, 2380 number = {2}, 2381 year = {1979}, 2382 pages = {165{\textendash}184}, 2383 coden = {INVMBH}, 2384 fjournal = {Inventiones Mathematicae}, 2385 issn = {0020-9910}, 2386 mrclass = {20H15 (17B35 20G05 22E47)}, 2387 mrnumber = {MR560412 (81j:20066)}, 2388 mrreviewer = {Vinay V. Deodhar}, 2389 printedkey = {KL79} 2390} 2391@article{ KLM01, 2392 author = {Kemper, G. and L{\"u}beck, F. and Magaard, K.}, 2393 title = {Matrix generators for the {R}ee groups {${}^2G_2(q)$}}, 2394 journal = {Comm. Algebra}, 2395 volume = {29}, 2396 number = {1}, 2397 year = {2001}, 2398 pages = {407{\textendash}413}, 2399 coden = {COALDM}, 2400 fjournal = {Communications in Algebra}, 2401 issn = {0092-7872}, 2402 mrclass = {20C33 (20D06)}, 2403 mrnumber = {MR1842506 (2002e:20025)}, 2404 printedkey = {KLM01} 2405} 2406@book{ Ker91, 2407 author = {Kerber, A.}, 2408 title = {Algebraic combinatorics via finite group actions}, 2409 publisher = {Bibliographisches Institut}, 2410 address = {Mannheim}, 2411 year = {1991}, 2412 pages = {436}, 2413 isbn = {3-411-14521-8}, 2414 mrclass = {05E10 (20C30)}, 2415 mrnumber = {MR1115208 (92k:05130)}, 2416 mrreviewer = {A. O. Morris}, 2417 printedkey = {Ker91} 2418} 2419@article{ KimmerleLyonsSandlingTeague90, 2420 author = {Kimmerle, W. and Lyons, R. and Sandling, R. and 2421 Teague, D. N.}, 2422 title = {Composition factors from the group ring and {A}rtin's 2423 theorem on orders of simple groups}, 2424 journal = {Proc. London Math. Soc. (3)}, 2425 volume = {60}, 2426 number = {1}, 2427 year = {1990}, 2428 pages = {89--122}, 2429 coden = {PLMTAL}, 2430 fjournal = {Proceedings of the London Mathematical Society. Third 2431 Series}, 2432 issn = {0024-6115}, 2433 mrclass = {20D06 (20C05 20D60)}, 2434 mrnumber = {MR1023806 (91c:20030)}, 2435 mrreviewer = {P. Fong}, 2436 printedkey = {KLST90} 2437} 2438@book{ KleidmanLiebeck90, 2439 author = {Kleidman, P. and Liebeck, M.}, 2440 title = {The subgroup structure of the finite classical groups}, 2441 publisher = {Cambridge University Press}, 2442 series = {London Mathematical Society Lecture Note Series}, 2443 volume = {129}, 2444 address = {Cambridge}, 2445 year = {1990}, 2446 pages = {x+303}, 2447 isbn = {0-521-35949-X}, 2448 mrclass = {20-02 (20D06 20G40)}, 2449 mrnumber = {MR1057341 (91g:20001)}, 2450 mrreviewer = {R. W. Carter}, 2451 printedkey = {KL90} 2452} 2453@article{ Klimyk66, 2454 author = {Klimyk, A. U.}, 2455 title = {Decomposition of the direct product of irreducible 2456 representations of semisimple {L}ie algebras into 2457 irreducible representations}, 2458 journal = {Ukrain. Mat. {\v Z}.}, 2459 volume = {18}, 2460 number = {5}, 2461 year = {1966}, 2462 pages = {19{\textendash}27}, 2463 fjournal = {Akademiya Nauk Ukrainsko{\u\i} SSR. Institut 2464 Matematiki. Ukrainski{\u\i} Matematicheski{\u\i} 2465 Zhurnal}, 2466 issn = {0041-6053}, 2467 mrclass = {17.30 (22.60)}, 2468 mrnumber = {MR0206169 (34 \#5991)}, 2469 mrreviewer = {Renzo Cirelli}, 2470 printedkey = {Kli66} 2471} 2472@incollection{ Klimyk68, 2473 author = {Klimyk, A. U.}, 2474 booktitle = {American {M}athematical {S}ociety {T}ranslations. 2475 {S}eries 2}, 2476 title = {Decomposition of a direct product of irreducible 2477 representations of a semisimple {L}ie algebra into 2478 irreducible representations}, 2479 publisher = {American Mathematical Society}, 2480 volume = {76}, 2481 address = {Providence, R.I.}, 2482 year = {1968}, 2483 pages = {63{\textendash}73}, 2484 printedkey = {Kli68} 2485} 2486@book{ TACP2, 2487 author = {Knuth, D. E.}, 2488 title = {The Art of Computer Programming, Volume 2: 2489 {S}eminumerical Algorithms}, 2490 publisher = {Addison-Wesley}, 2491 edition = {third}, 2492 year = {1998}, 2493 printedkey = {Knu98} 2494} 2495@book{ MR0286318, 2496 author = {Knuth, D. E.}, 2497 title = {The art of computer programming. {V}ol. 2: 2498 {S}eminumerical algorithms}, 2499 publisher = {Addison-Wesley Publishing Co., Reading, 2500 Mass.-London-Don Mills, Ont}, 2501 year = {1969}, 2502 pages = {xi+624}, 2503 mrclass = {68.00 (65.00)}, 2504 mrnumber = {MR0286318 (44 \#3531)}, 2505 mrreviewer = {M. Muller}, 2506 printedkey = {Knu69} 2507} 2508@book{ Lau82, 2509 author = {Laue, R.}, 2510 title = {Zur {K}onstruktion und {K}lassifikation endlicher 2511 aufl{\"o}sbarer {G}ruppen}, 2512 journal = {Bayreuth. Math. Schr.}, 2513 publisher = {Universit{\"a}t Bayreuth}, 2514 number = {9}, 2515 year = {1982}, 2516 pages = {ii+304}, 2517 notes = {PAGES: ii + 304, 1 correction sheet, Earlier version: 2518 Habilitationsschrift, RWTH Aachen, 1980}, 2519 fjournal = {Bayreuther Mathematische Schriften}, 2520 issn = {0172-1062}, 2521 mrclass = {20D10 (20-02)}, 2522 mrnumber = {MR651224 (84e:20018)}, 2523 mrreviewer = {T. O. Hawkes}, 2524 reviews = {MR 84e:20018 (T.{\nobreakspace}O. Hawkes), Zbl 2525 479.20010 (H. Heineken)}, 2526 keywords = {polycyclic groups;;; classification}, 2527 printedkey = {Lau82} 2528} 2529@inproceedings{ SOGOS, 2530 author = {Laue, R. and Neub{\"u}ser, J. and Schoenwaelder, U.}, 2531 editor = {Atkinson, M. D.}, 2532 booktitle = {Computational group theory (Durham, 1982)}, 2533 title = {Algorithms for finite soluble groups and the {SOGOS} 2534 system}, 2535 publisher = {Academic Press}, 2536 address = {London}, 2537 year = {1984}, 2538 pages = {105{\textendash}135}, 2539 crossref = {Durham1982}, 2540 isbn = {0-12-066270-1}, 2541 mrclass = {20D10 (20-04 20D15 20F05 68Q40)}, 2542 mrnumber = {MR760654 (86h:20023)}, 2543 mrreviewer = {Gerhard Pazderski}, 2544 reviews = {MR 86h:20023 (Gerhard Pazderski), Zbl 547:20012 (E. 2545 Kommissartschik)}, 2546 keywords = {polycyclic groups;;; algorithm description}, 2547 printedkey = {LNS84} 2548} 2549@book{ LeC86, 2550 author = {LeChenadec, P.}, 2551 title = {Canonical forms in finitely presented algebras}, 2552 publisher = {Pitman Publishing Ltd.}, 2553 series = {Research Notes in Theoretical Computer Science}, 2554 address = {London}, 2555 year = {1986}, 2556 pages = {xii+201}, 2557 isbn = {0-273-08721-5}, 2558 mrclass = {68Q50 (03B35 03D03 08B05 20F05 68Q40)}, 2559 mrnumber = {MR840218 (88b:68117)}, 2560 mrreviewer = {Friedrich Otto}, 2561 printedkey = {LeC86} 2562} 2563@article{ LS90, 2564 author = {Leedham-Green, C. R. and Soicher, L. H.}, 2565 title = {Collection from the left and other strategies}, 2566 journal = {J. Symbolic Comput.}, 2567 volume = {9}, 2568 number = {5-6}, 2569 year = {1990}, 2570 pages = {665{\textendash}675}, 2571 note = {Computational group theory, Part 1}, 2572 fjournal = {Journal of Symbolic Computation}, 2573 issn = {0747-7171}, 2574 mrclass = {20D10 (68Q25)}, 2575 mrnumber = {MR1075430 (92b:20021)}, 2576 mrreviewer = {M. Greendlinger}, 2577 printedkey = {LS90} 2578} 2579@article{ LLL82, 2580 author = {Lenstra, A. K. and Lenstra Jr., H. W. and Lov{\a'a}sz, 2581 L.}, 2582 title = {Factoring polynomials with rational coefficients}, 2583 journal = {Math. Ann.}, 2584 volume = {261}, 2585 number = {4}, 2586 year = {1982}, 2587 pages = {515{\textendash}534}, 2588 key = {LLL82}, 2589 coden = {MAANA3}, 2590 fjournal = {Mathematische Annalen}, 2591 issn = {0025-5831}, 2592 mrclass = {12-04 (12A20 68C20 68C25)}, 2593 mrnumber = {MR682664 (84a:12002)}, 2594 mrreviewer = {Daniel Lazard} 2595} 2596@article{ Leo80, 2597 author = {Leon, J. S.}, 2598 title = {On an algorithm for finding a base and a strong 2599 generating set for a group given by generating 2600 permutations}, 2601 journal = {Math. Comp.}, 2602 volume = {35}, 2603 number = {151}, 2604 year = {1980}, 2605 pages = {941{\textendash}974}, 2606 coden = {MCMPAF}, 2607 fjournal = {Mathematics of Computation}, 2608 issn = {0025-5718}, 2609 mrclass = {20-04 (20F05)}, 2610 mrnumber = {MR572868 (82i:20004)}, 2611 mrreviewer = {Colin M. Campbell}, 2612 reviews = {MR 82i:20004 (Colin M. Campbell), Zbl 444.20001 (J. 2613 Neub{\"u}ser)}, 2614 keywords = {permutation groups; stabilizer chain, base and strong 2615 generating set of; Schreier Sims, Todd Coxeter (tc)}, 2616 printedkey = {Leo80} 2617} 2618@article{ Leon91, 2619 author = {Leon, J. S.}, 2620 title = {Permutation group algorithms based on partitions. {I}. 2621 {T}heory and algorithms}, 2622 journal = {J. Symbolic Comput.}, 2623 volume = {12}, 2624 number = {4-5}, 2625 year = {1991}, 2626 pages = {533{\textendash}583}, 2627 note = {Computational group theory, Part 2}, 2628 fjournal = {Journal of Symbolic Computation}, 2629 issn = {0747-7171}, 2630 mrclass = {68Q40 (20B40)}, 2631 mrnumber = {MR1146516 (93c:68043)}, 2632 mrreviewer = {Jean Moulin Ollagnier}, 2633 printedkey = {Leo91} 2634} 2635@manual{ Lin93, 2636 author = {Linton, S.}, 2637 title = {Vector Enumeration Programs, version 3}, 2638 year = {1993}, 2639 printedkey = {Lin93} 2640} 2641@phdthesis{ Lo, 2642 author = {Lo, E.}, 2643 title = {A Polycyclic Quotient Algorithm}, 2644 school = {Rutgers University}, 2645 year = {1996}, 2646 printedkey = {Lo96} 2647} 2648@misc{ L03, 2649 author = {L{\"u}beck, F.}, 2650 title = {Conway polynomials for finite fields}, 2651 year = {2003}, 2652 howpublished = {\href 2653 {http://www.math.rwth-aachen.de:8001/~Frank.Luebeck/data/ConwayPol} 2654 {\texttt{http://www.math.rwth-aachen.de:8001/}\discretionary 2655 {}{}{}\texttt{\texttt{\symbol{126}}Frank.Luebeck/}\discretionary 2656 {}{}{}\texttt{data/}\discretionary 2657 {}{}{}\texttt{ConwayPol}}}, 2658 printedkey = {L{\"u}b03} 2659} 2660@article{ luksrakocziwright97, 2661 author = {Luks, E. 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Math.}, 2715 volume = {95}, 2716 address = {Basel}, 2717 year = {1991}, 2718 pages = {37{\textendash}64}, 2719 crossref = {MR91}, 2720 isbn = {3-7643-2604-2}, 2721 mrclass = {20C40}, 2722 mrnumber = {MR1112157 (92g:20025)}, 2723 mrreviewer = {Wolfgang Knapp}, 2724 printedkey = {LP91} 2725} 2726@article{ Mac81, 2727 author = {Macdonald, I. G.}, 2728 title = {Numbers of conjugacy classes in some finite classical 2729 groups}, 2730 journal = {Bull. Austral. Math. Soc.}, 2731 volume = {23}, 2732 number = {1}, 2733 year = {1981}, 2734 pages = {23{\textendash}48}, 2735 coden = {ALNBAB}, 2736 fjournal = {Bulletin of the Australian Mathematical Society}, 2737 issn = {0004-9727}, 2738 mrclass = {20G40}, 2739 mrnumber = {MR615131 (82j:20092)}, 2740 mrreviewer = {Naohisa Shimomura}, 2741 printedkey = {Mac81} 2742} 2743@article{ MV97, 2744 author = {Mahajan, M. and Vinay, V.}, 2745 title = {Determinant: combinatorics, algorithms, and complexity}, 2746 journal = {Chicago J. Theoret. Comput. Sci.}, 2747 year = {1997}, 2748 pages = {Article 5, 26 pp. (electronic)}, 2749 fjournal = {Chicago Journal of Theoretical Computer Science}, 2750 issn = {1073-0486}, 2751 mrclass = {15A15 (05C50 68Q15 68Q22 68R05)}, 2752 mrnumber = {MR1484546 (98m:15016)}, 2753 mrreviewer = {H.-J. Hoehnke}, 2754 printedkey = {MV97} 2755} 2756@inproceedings{ Mal96, 2757 author = {Malle, G.}, 2758 editor = {Cabanes, M.}, 2759 booktitle = {Finite reductive groups (Luminy, 1994)}, 2760 title = {Degr{\a'e}s relatifs des alg{\a`e}bres cyclotomiques 2761 associ{\a'e}es aux groupes de r{\a'e}flexions 2762 complexes de dimension deux}, 2763 publisher = {Birkh{\"a}user Boston}, 2764 series = {Progr. Math.}, 2765 volume = {141}, 2766 address = {Boston, MA}, 2767 year = {1997}, 2768 pages = {311{\textendash}332}, 2769 crossref = {Luminy94}, 2770 note = {Related structures and representations}, 2771 isbn = {0-8176-3885-7}, 2772 mrclass = {20C99 (20F55 20G40)}, 2773 mrnumber = {MR1429878 (98h:20019)}, 2774 mrreviewer = {Fran{\c c}ois Digne}, 2775 printedkey = {Mal97} 2776} 2777@article{ MS85, 2778 author = {Soicher, L. and McKay, J.}, 2779 title = {Computing {G}alois groups over the rationals}, 2780 journal = {J. Number Theory}, 2781 volume = {20}, 2782 number = {3}, 2783 year = {1985}, 2784 pages = {273{\textendash}281}, 2785 coden = {JNUTA9}, 2786 fjournal = {Journal of Number Theory}, 2787 issn = {0022-314X}, 2788 mrclass = {12-04 (11R32 11Y40)}, 2789 mrnumber = {MR797178 (87a:12002)}, 2790 mrreviewer = {Hale F. Trotter}, 2791 printedkey = {SM85} 2792} 2793@article{ McL77, 2794 author = {McLain, D. 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Soc.}, 2818 volume = {40}, 2819 number = {2}, 2820 year = {1989}, 2821 pages = {281{\textendash}292}, 2822 coden = {ALNBAB}, 2823 fjournal = {Bulletin of the Australian Mathematical Society}, 2824 issn = {0004-9727}, 2825 mrclass = {20-04 (20D10)}, 2826 mrnumber = {MR1012835 (91i:20001)}, 2827 printedkey = {MN89} 2828} 2829@mastersthesis{ Merkwitz98, 2830 author = {Merkwitz, T.}, 2831 title = {{Markentafeln endlicher Gruppen}}, 2832 school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch 2833 Westf{\"a}lische Technische Hochschule}, 2834 address = {Aachen, Germany}, 2835 year = {1998}, 2836 printedkey = {Mer98}, 2837 type = {Diplomarbeit} 2838} 2839@mastersthesis{ Mni92, 2840 author = {Mnich, J.}, 2841 title = {Untergruppenverb{\"a}nde und aufl{\"o}sbare {G}ruppen 2842 in {GAP}}, 2843 school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch 2844 Westf{\"a}lische Technische Hochschule}, 2845 address = {Aachen, Germany}, 2846 year = {1992}, 2847 keywords = {groups; subgroup lattice, table of marks; cyclic 2848 extensions; algorithm description}, 2849 printedkey = {Mni92}, 2850 type = {Diplomarbeit} 2851} 2852@article{ Mon85, 2853 author = {Montgomery, P. L.}, 2854 title = {Modular multiplication without trial division}, 2855 journal = {Math. Comp.}, 2856 volume = {44}, 2857 number = {170}, 2858 year = {1985}, 2859 pages = {519{\textendash}521}, 2860 coden = {MCMPAF}, 2861 fjournal = {Mathematics of Computation}, 2862 issn = {0025-5718}, 2863 mrclass = {11Y16}, 2864 mrnumber = {MR777282 (86e:11121)}, 2865 printedkey = {Mon85} 2866} 2867@article{ Mur58, 2868 author = {Murnaghan, F. D.}, 2869 title = {The orthogonal and symplectic groups}, 2870 journal = {Comm. Dublin Inst. Adv. Studies. Ser. A, no.}, 2871 volume = {13}, 2872 year = {1958}, 2873 pages = {146}, 2874 mrclass = {20.00}, 2875 mrnumber = {MR0103933 (21 \#2695)}, 2876 mrreviewer = {J. S. Frame}, 2877 printedkey = {Mur58} 2878} 2879@article{ MY79, 2880 author = {McKay, J. and Young, K. C.}, 2881 title = {The nonabelian simple groups {$G$}, {$|G| < 2882 10^{6}$}{\textendash}minimal generating pairs}, 2883 journal = {Math. Comp.}, 2884 volume = {33}, 2885 number = {146}, 2886 year = {1979}, 2887 pages = {812{\textendash}814}, 2888 coden = {MCMPAF}, 2889 fjournal = {Mathematics of Computation}, 2890 issn = {0025-5718}, 2891 mrclass = {20D05 (20F05)}, 2892 mrnumber = {MR521296 (80d:20018)}, 2893 mrreviewer = {W. J. Wong}, 2894 printedkey = {MY79} 2895} 2896@manual{ Nau90, 2897 author = {McKay, B. D.}, 2898 title = {{nauty} user's guide (version 1.5), Technical report 2899 TR-CS-90-02}, 2900 organization = {Australian National University}, 2901 address = {Computer Science Department, ANU}, 2902 year = {1990}, 2903 printedkey = {McK90} 2904} 2905@phdthesis{ Neb95, 2906 author = {Nebe, G.}, 2907 title = {Endliche rationale {M}atrixgruppen vom {G}rad 24}, 2908 school = {Rheinisch Westf{\"a}lische Technische Hochschule}, 2909 series = {Aachener Beitr{\"a}ge zur Mathematik}, 2910 volume = {12}, 2911 address = {Aachen, Germany}, 2912 year = {1995}, 2913 printedkey = {Neb95}, 2914 type = {Dissertation} 2915} 2916@article{ Neb96, 2917 author = {Nebe, G.}, 2918 title = {Finite subgroups of {$GL_n(Q)$} for {$25 \leq n \leq 2919 31$}}, 2920 journal = {Comm. Algebra}, 2921 volume = {24}, 2922 number = {7}, 2923 year = {1996}, 2924 pages = {2341{\textendash}2397}, 2925 coden = {COALDM}, 2926 fjournal = {Communications in Algebra}, 2927 issn = {0092-7872}, 2928 mrclass = {20G15}, 2929 mrnumber = {MR1390378 (97e:20066)}, 2930 mrreviewer = {Martin W. Liebeck}, 2931 printedkey = {Neb96} 2932} 2933@phdthesis{ Neu67, 2934 author = {Neub{\"u}ser, J.}, 2935 title = {Die {U}ntergruppenverb{\"a}nde der {Gruppen} der 2936 {Ordnungen} $\leq 100$ mit {Ausnahme} der {Ordnungen} 2937 64 und 96}, 2938 school = {Universit{\"a}t Kiel}, 2939 address = {Kiel, Germany}, 2940 year = {1967}, 2941 notes = {PAGES: 370}, 2942 printedkey = {Neu67}, 2943 type = {Habilitationsschrift} 2944} 2945@inproceedings{ Neu82, 2946 author = {Neub{\"u}ser, J.}, 2947 editor = {Campbell, C. M. and Robertson, E. F.}, 2948 booktitle = {Groups{\textendash}St Andrews 1981 (St Andrews, 1981)}, 2949 title = {An elementary introduction to coset table methods in 2950 computational group theory}, 2951 publisher = {Cambridge Univ. Press}, 2952 series = {London Math. Soc. Lecture Note Ser.}, 2953 volume = {71}, 2954 address = {Cambridge}, 2955 year = {1982}, 2956 pages = {1{\textendash}45}, 2957 crossref = {GrpsStAndrews81}, 2958 isbn = {0-521-28974-2}, 2959 mrclass = {20-04 (20-02)}, 2960 mrnumber = {MR679153 (84f:20004)}, 2961 mrreviewer = {George Havas}, 2962 reviews = {MR 84f:20004 (George Havas), Zbl 489.20003 (G. Butler)}, 2963 keywords = {finitely presented groups; subgroup presentation, 2964 permutation representation, low index subgroups; Todd 2965 Coxeter (tc), modified Todd Coxeter (mtc); algorithm 2966 description, survey}, 2967 printedkey = {Neu82} 2968} 2969@book{ neukirch, 2970 author = {Neukirch, J.}, 2971 title = {Algebraische {Z}ahlentheorie}, 2972 publisher = {Springer, Berlin, Heidelberg and New York}, 2973 year = {1992}, 2974 printedkey = {Neu92} 2975} 2976@inbook{ NP95, 2977 author = {Nebe, G. and Plesken, W.}, 2978 title = {Finite rational matrix groups of degree 16}, 2979 journal = {Mem. Amer. Math. Soc.}, 2980 publisher = {AMS}, 2981 number = {556}, 2982 year = {1995}, 2983 pages = {74{\textendash}144}, 2984 crossref = {NPbook95}, 2985 note = {vol. 116}, 2986 coden = {MAMCAU}, 2987 fjournal = {Memoirs of the American Mathematical Society}, 2988 issn = {0065-9266}, 2989 mrclass = {20H20 (11E57)}, 2990 mrnumber = {MR1265024 (95k:20081)}, 2991 mrreviewer = {V. D. Mazurov}, 2992 printedkey = {NP95} 2993} 2994@book{ NPbook95, 2995 author = {Nebe, G. and Plesken, W.}, 2996 title = {Finite rational matrix groups}, 2997 journal = {Mem. Amer. Math. Soc.}, 2998 publisher = {AMS}, 2999 series = {Mem. Amer. Math. Soc.}, 3000 number = {556}, 3001 year = {1995}, 3002 pages = {viii+144}, 3003 note = {vol. 116}, 3004 coden = {MAMCAU}, 3005 fjournal = {Memoirs of the American Mathematical Society}, 3006 issn = {0065-9266}, 3007 mrclass = {20H20 (11E57)}, 3008 mrnumber = {MR1265024 (95k:20081)}, 3009 mrreviewer = {V. D. Mazurov}, 3010 printedkey = {NP95} 3011} 3012@inproceedings{ NPP84, 3013 author = {Neub{\"u}ser, J. and Pahlings, H. and Plesken, W.}, 3014 editor = {Atkinson, M. D.}, 3015 booktitle = {Computational group theory (Durham, 1982)}, 3016 title = {C{AS}; design and use of a system for the handling of 3017 characters of finite groups}, 3018 publisher = {Academic Press}, 3019 address = {London}, 3020 year = {1984}, 3021 pages = {195{\textendash}247}, 3022 crossref = {Durham1982}, 3023 isbn = {0-12-066270-1}, 3024 mrclass = {20-04 (20C15 20C30 68Q40)}, 3025 mrnumber = {MR760658 (86i:20004)}, 3026 mrreviewer = {D. Wales}, 3027 reviews = {MR 86i:20004 (D. Hales), Zbl 546.20001 (G. Butler)}, 3028 keywords = {ordinary representations; characters}, 3029 printedkey = {NPP84} 3030} 3031@article{ NPW81, 3032 author = {Neub{\"u}ser, J. and Plesken, W. and Wondratschek, H.}, 3033 booktitle = {Proceedings of the Conference on Kristallographische 3034 Gruppen (Univ. Bielefeld, Bielefeld, 1979), Part II}, 3035 title = {An emendatory discursion on defining crystal systems}, 3036 journal = {Match}, 3037 number = {10}, 3038 year = {1981}, 3039 pages = {77{\textendash}96}, 3040 coden = {MATCDV}, 3041 fjournal = {Match}, 3042 issn = {0340-6253}, 3043 mrclass = {20H15 (51F15 82A60)}, 3044 mrnumber = {MR620802 (82i:20059)}, 3045 mrreviewer = {Daniel B. Litvin}, 3046 reviews = {Zbl 551.20033 (Author)}, 3047 printedkey = {NPW81} 3048} 3049@inproceedings{ New77, 3050 author = {Newman, M. F.}, 3051 editor = {Bryce, R. A. and Cossey, J. and Newman, M. F.}, 3052 booktitle = {Group theory (Proc. Miniconf., Australian Nat. Univ., 3053 Canberra, 1975)}, 3054 title = {Determination of groups of prime-power order}, 3055 publisher = {Springer}, 3056 series = {Lecture Notes in Math.}, 3057 volume = {573}, 3058 address = {Berlin}, 3059 year = {1977}, 3060 pages = {73{\textendash}84. Lecture Notes in Math., Vol. 573}, 3061 crossref = {Canberra75}, 3062 note = {Lecture Notes in Mathematics, Vol. 573}, 3063 mrclass = {20D15}, 3064 mrnumber = {MR0453862 (56 \#12115)}, 3065 mrreviewer = {Bruce W. King}, 3066 reviews = {MR 56 \# 12115 (Bruce W. King), Zbl no ref}, 3067 keywords = {finitely presented groups, p-groups;; nilpotent 3068 quotient; application}, 3069 printedkey = {New77} 3070} 3071@article{ New90, 3072 author = {Newman, M. F.}, 3073 title = {Proving a group infinite}, 3074 journal = {Arch. Math. (Basel)}, 3075 volume = {54}, 3076 number = {3}, 3077 year = {1990}, 3078 pages = {209{\textendash}211}, 3079 coden = {ACVMAL}, 3080 fjournal = {Archiv der Mathematik}, 3081 issn = {0003-889X}, 3082 mrclass = {20F05}, 3083 mrnumber = {MR1037607 (90j:20068)}, 3084 mrreviewer = {D. L. Johnson}, 3085 printedkey = {New90} 3086} 3087@inproceedings{ NO89, 3088 author = {Newman, M. F. and O'Brien, E. A.}, 3089 editor = {Cheng, K. N. and Leong, Y. K.}, 3090 booktitle = {Group theory (Singapore, 1987)}, 3091 title = {A {CAYLEY} library for the groups of order dividing 3092 {$128$}}, 3093 publisher = {de Gruyter}, 3094 address = {Berlin}, 3095 year = {1989}, 3096 pages = {437{\textendash}442}, 3097 crossref = {Singapore87}, 3098 isbn = {3-11-011366-X}, 3099 mrclass = {20-04 (20D15)}, 3100 mrnumber = {MR981861 (90b:20002)}, 3101 mrreviewer = {J. McKay}, 3102 printedkey = {NO89} 3103} 3104@mastersthesis{ Noe02, 3105 author = {Noeske, F.}, 3106 title = {{Zur Darstellungstheorie der Schurschen Erweiterungen 3107 symmetrischer Gruppen}}, 3108 school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch 3109 Westf{\"a}lische Technische Hochschule}, 3110 year = {2002}, 3111 printedkey = {Noe02}, 3112 type = {Diplomarbeit} 3113} 3114@article{ OBr90, 3115 author = {O'Brien, E. A.}, 3116 title = {The {$p$}-group generation algorithm}, 3117 journal = {J. Symbolic Comput.}, 3118 volume = {9}, 3119 number = {5-6}, 3120 year = {1990}, 3121 pages = {677{\textendash}698}, 3122 note = {Computational group theory, Part 1}, 3123 fjournal = {Journal of Symbolic Computation}, 3124 issn = {0747-7171}, 3125 mrclass = {20D15}, 3126 mrnumber = {MR1075431 (91j:20050)}, 3127 mrreviewer = {{\a`E}. M. Pal{\ensuremath{'}}chik}, 3128 printedkey = {O'B90} 3129} 3130@article{ OBr91, 3131 author = {O'Brien, E. A.}, 3132 title = {The groups of order {$256$}}, 3133 journal = {J. Algebra}, 3134 volume = {143}, 3135 number = {1}, 3136 year = {1991}, 3137 pages = {219{\textendash}235}, 3138 coden = {JALGA4}, 3139 fjournal = {Journal of Algebra}, 3140 issn = {0021-8693}, 3141 mrclass = {20D15 (20-04)}, 3142 mrnumber = {MR1128656 (93e:20029)}, 3143 printedkey = {O'B91} 3144} 3145@article{ OBr94, 3146 author = {O'Brien, E. A.}, 3147 title = {Isomorphism testing for {$p$}-groups}, 3148 journal = {J. Symbolic Comput.}, 3149 volume = {17}, 3150 number = {2}, 3151 year = {1994}, 3152 pages = {131, 133{\textendash}147}, 3153 fjournal = {Journal of Symbolic Computation}, 3154 issn = {0747-7171}, 3155 mrclass = {20D15 (20D45 20F28)}, 3156 mrnumber = {MR1283739 (95f:20040b)}, 3157 mrreviewer = {Richard Davitt}, 3158 printedkey = {O'B94} 3159} 3160@inproceedings{ OBr95, 3161 author = {O'Brien, E. A.}, 3162 editor = {Bosma, W. and van der Poorten, A.}, 3163 booktitle = {Computational algebra and number theory (Sydney, 1992)}, 3164 title = {Computing automorphism groups of {$p$}-groups}, 3165 publisher = {Kluwer Acad. Publ.}, 3166 series = {Math. Appl.}, 3167 volume = {325}, 3168 address = {Dordrecht}, 3169 year = {1995}, 3170 pages = {83{\textendash}90}, 3171 mrclass = {20D15 (20D45)}, 3172 mrnumber = {MR1344923 (96g:20024)}, 3173 mrreviewer = {Wolfgang Lempken}, 3174 printedkey = {O'B95} 3175} 3176@article{ NO96, 3177 author = {Newman, M. F. and O'Brien, E. A.}, 3178 title = {Application of computers to questions like those of 3179 {B}urnside. {II}}, 3180 journal = {Internat. J. Algebra Comput.}, 3181 volume = {6}, 3182 number = {5}, 3183 year = {1996}, 3184 pages = {593{\textendash}605}, 3185 fjournal = {International Journal of Algebra and Computation}, 3186 issn = {0218-1967}, 3187 mrclass = {20-04 (20D15 20F05)}, 3188 mrnumber = {MR1419133 (97k:20002)}, 3189 mrreviewer = {Colin M. Campbell}, 3190 printedkey = {NO96} 3191} 3192@techreport{ Ost86, 3193 author = {Ostermann, T.}, 3194 title = {Charaktertafeln von {S}ylownormalisatoren sporadischer 3195 einfacher {G}ruppen}, 3196 institution = {Universit{\"a}t Essen}, 3197 publisher = {Universit{\"a}t Essen Fachbereich Mathematik}, 3198 series = {Vorlesungen aus dem Fachbereich Mathematik der 3199 Universit{\"a}t GH Essen [Lecture Notes in Mathematics 3200 at the University of Essen]}, 3201 volume = {14}, 3202 address = {Essen}, 3203 year = {1986}, 3204 pages = {x+187}, 3205 mrclass = {20-04 (20C20 20D08)}, 3206 mrnumber = {MR872094 (88g:20002)}, 3207 mrreviewer = {M. F. Newman}, 3208 printedkey = {Ost86} 3209} 3210@article{ Pah93, 3211 author = {Pahlings, H.}, 3212 title = {On the {M}{\"o}bius function of a finite group}, 3213 journal = {Arch. Math. (Basel)}, 3214 volume = {60}, 3215 number = {1}, 3216 year = {1993}, 3217 pages = {7{\textendash}14}, 3218 coden = {ACVMAL}, 3219 fjournal = {Archiv der Mathematik}, 3220 issn = {0003-889X}, 3221 mrclass = {20D30}, 3222 mrnumber = {MR1193087 (94c:20039)}, 3223 mrreviewer = {David Gluck}, 3224 printedkey = {Pah93} 3225} 3226@inproceedings{ Par84, 3227 author = {Parker, R. A.}, 3228 editor = {Atkinson, M. D.}, 3229 booktitle = {Computational group theory (Durham, 1982)}, 3230 title = {The computer calculation of modular characters (the 3231 meat-axe)}, 3232 publisher = {Academic Press}, 3233 address = {London}, 3234 year = {1984}, 3235 pages = {267{\textendash}274}, 3236 crossref = {Durham1982}, 3237 isbn = {0-12-066270-1}, 3238 mrclass = {20C20 (20-04)}, 3239 mrnumber = {MR760660 (85k:20041)}, 3240 mrreviewer = {Leo J. Alex}, 3241 printedkey = {Par84} 3242} 3243@mastersthesis{ Pfe91, 3244 author = {Pfeiffer, G.}, 3245 title = {{Von Permutationscharakteren und Markentafeln}}, 3246 school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch 3247 Westf{\"a}lische Technische Hochschule}, 3248 address = {Aachen, Germany}, 3249 year = {1991}, 3250 printedkey = {Pfe91}, 3251 type = {Diplomarbeit} 3252} 3253@article{ Pfe94a, 3254 author = {Pfeiffer, G.}, 3255 title = {Character tables of {W}eyl groups in {GAP}}, 3256 journal = {Bayreuth. Math. Schr.}, 3257 number = {47}, 3258 year = {1994}, 3259 pages = {165{\textendash}222}, 3260 fjournal = {Bayreuther Mathematische Schriften}, 3261 issn = {0172-1062}, 3262 mrclass = {20C40 (20C15 20D06 20F40)}, 3263 mrnumber = {MR1285208 (95d:20027)}, 3264 mrreviewer = {Stephen A. Linton}, 3265 printedkey = {Pfe94} 3266} 3267@article{ Pfe94b, 3268 author = {Pfeiffer, G.}, 3269 title = {Young characters on {C}oxeter basis elements of 3270 {I}wahori-{H}ecke algebras and a 3271 {M}urnaghan-{N}akayama formula}, 3272 journal = {J. Algebra}, 3273 volume = {168}, 3274 number = {2}, 3275 year = {1994}, 3276 pages = {525{\textendash}535}, 3277 coden = {JALGA4}, 3278 fjournal = {Journal of Algebra}, 3279 issn = {0021-8693}, 3280 mrclass = {20C30 (20C15 20F55)}, 3281 mrnumber = {MR1292779 (95g:20012)}, 3282 mrreviewer = {Arun Ram}, 3283 printedkey = {Pfe94} 3284} 3285@inproceedings{ Pfe96, 3286 author = {Pfeiffer, G.}, 3287 editor = {Cabanes, M.}, 3288 booktitle = {Finite reductive groups (Luminy, 1994)}, 3289 title = {Character values of {I}wahori-{H}ecke algebras of type 3290 {$B$}}, 3291 publisher = {Birkh{\"a}user Boston}, 3292 series = {Progr. Math.}, 3293 volume = {141}, 3294 address = {Boston, MA}, 3295 year = {1997}, 3296 pages = {333{\textendash}360}, 3297 crossref = {Luminy94}, 3298 note = {Related structures and representations}, 3299 isbn = {0-8176-3885-7}, 3300 mrclass = {20C15 (20F55)}, 3301 mrnumber = {MR1429879 (98a:20008)}, 3302 mrreviewer = {Robert B{\a'e}dard}, 3303 printedkey = {Pfe97} 3304} 3305@article{ Pfe97, 3306 author = {Pfeiffer, G.}, 3307 title = {The subgroups of {$M_{24}$}, or how to compute the 3308 table of marks of a finite group}, 3309 journal = {Experiment. Math.}, 3310 volume = {6}, 3311 number = {3}, 3312 year = {1997}, 3313 pages = {247{\textendash}270}, 3314 fjournal = {Experimental Mathematics}, 3315 issn = {1058-6458}, 3316 mrclass = {20D30 (20D08)}, 3317 mrnumber = {MR1481593 (98h:20032)}, 3318 mrreviewer = {A. S. Kondrat{\ensuremath{'}}ev}, 3319 printedkey = {Pfe97} 3320} 3321@book{ Pil83, 3322 author = {Pilz, G.}, 3323 title = {Near-rings}, 3324 publisher = {North-Holland Publishing Co.}, 3325 edition = {Second}, 3326 series = {North-Holland Mathematics Studies}, 3327 volume = {23}, 3328 address = {Amsterdam}, 3329 year = {1983}, 3330 pages = {xv+470}, 3331 note = {The theory and its applications}, 3332 isbn = {0-7204-0566-1}, 3333 mrclass = {16A76 (16-02)}, 3334 mrnumber = {MR721171 (85h:16046)}, 3335 mrreviewer = {J. R. Clay}, 3336 printedkey = {Pil83} 3337} 3338@article{ Ple85, 3339 author = {Plesken, W.}, 3340 title = {Finite unimodular groups of prime degree and 3341 circulants}, 3342 journal = {J. Algebra}, 3343 volume = {97}, 3344 number = {1}, 3345 year = {1985}, 3346 pages = {286{\textendash}312}, 3347 coden = {JALGA4}, 3348 fjournal = {Journal of Algebra}, 3349 issn = {0021-8693}, 3350 mrclass = {20C10 (20G40)}, 3351 mrnumber = {MR812182 (87c:20020)}, 3352 mrreviewer = {Wolfgang Knapp}, 3353 printedkey = {Ple85} 3354} 3355@article{ Ple90, 3356 author = {Plesken, W.}, 3357 title = {Solving {$XX^{\rm tr} = A$} over the integers}, 3358 journal = {Linear Algebra Appl.}, 3359 volume = {226/228}, 3360 year = {1995}, 3361 pages = {331--344}, 3362 coden = {LAAPAW}, 3363 fjournal = {Linear Algebra and its Applications}, 3364 issn = {0024-3795}, 3365 mrclass = {15A24}, 3366 mrnumber = {MR1344572 (96h:15016)}, 3367 mrreviewer = {M. C. Chaki}, 3368 printedkey = {Ple95} 3369} 3370@inbook{ PN95, 3371 author = {Plesken, W. and Nebe, G.}, 3372 title = {Finite rational matrix groups}, 3373 journal = {Mem. Amer. Math. Soc.}, 3374 publisher = {AMS}, 3375 number = {556}, 3376 year = {1995}, 3377 pages = {1{\textendash}73}, 3378 crossref = {NPbook95}, 3379 note = {vol. 116}, 3380 coden = {MAMCAU}, 3381 fjournal = {Memoirs of the American Mathematical Society}, 3382 issn = {0065-9266}, 3383 mrclass = {20H20 (11E57)}, 3384 mrnumber = {MR1265024 (95k:20081)}, 3385 mrreviewer = {V. D. Mazurov}, 3386 printedkey = {PN95} 3387} 3388@article{ MR1265024, 3389 author = {Nebe, G. and Plesken, W.}, 3390 title = {Finite rational matrix groups}, 3391 journal = {Mem. Amer. Math. Soc.}, 3392 volume = {116}, 3393 number = {556}, 3394 year = {1995}, 3395 pages = {viii+144}, 3396 coden = {MAMCAU}, 3397 fjournal = {Memoirs of the American Mathematical Society}, 3398 issn = {0065-9266}, 3399 mrclass = {20H20 (11E57)}, 3400 mrnumber = {MR1265024 (95k:20081)}, 3401 mrreviewer = {V. D. Mazurov}, 3402 printedkey = {NP95} 3403} 3404@article{ PP77, 3405 author = {Plesken, W. and Pohst, M.}, 3406 title = {On maximal finite irreducible Subgroups of {GL(n,Z)}. 3407 {I}. The five and seven dimensional cases, {II}. The 3408 six dimensional case}, 3409 journal = {Math. Comp.}, 3410 volume = {31}, 3411 year = {1977}, 3412 pages = {536{\textendash}576}, 3413 reviews = {MR 56 \# 3137a, 3137b (Wolfgang Knapp), Zbl 359.20006, 3414 359.20007 (authors)}, 3415 printedkey = {PP77} 3416} 3417@article{ MR0444789, 3418 author = {Plesken, W. and Pohst, M.}, 3419 title = {On maximal finite irreducible subgroups of {$GL(n, 3420 Z)$}. {I}. {T}he five and seven dimensional cases}, 3421 journal = {Math. Comp.}, 3422 volume = {31}, 3423 number = {138}, 3424 year = {1977}, 3425 pages = {536{\textendash}551}, 3426 fjournal = {Mathematics of Computation}, 3427 issn = {0025-5718}, 3428 mrclass = {20G05}, 3429 mrnumber = {MR0444789 (56 \#3137a)}, 3430 mrreviewer = {Wolfgang Knapp}, 3431 printedkey = {PP77} 3432} 3433@article{ MR0444790, 3434 author = {Plesken, W. and Pohst, M.}, 3435 title = {On maximal finite irreducible subgroups of {$GL(n, 3436 Z)$}. {II}. {T}he six dimensional case}, 3437 journal = {Math. Comp.}, 3438 volume = {31}, 3439 number = {138}, 3440 year = {1977}, 3441 pages = {552{\textendash}573}, 3442 fjournal = {Mathematics of Computation}, 3443 issn = {0025-5718}, 3444 mrclass = {20G05}, 3445 mrnumber = {MR0444790 (56 \#3137b)}, 3446 mrreviewer = {Wolfgang Knapp}, 3447 printedkey = {PP77} 3448} 3449@article{ PP80, 3450 author = {Plesken, W. and Pohst, M.}, 3451 title = {On maximal finite irreducible Subgroups of {GL(n,Z)}. 3452 {III}. The nine dimensional case, {IV}. Remarks on 3453 even dimensions with application to n = 8, {V}. The 3454 eight dimensional case and a complete description of 3455 dimensions less than ten}, 3456 journal = {Math. Comp.}, 3457 volume = {34}, 3458 year = {1980}, 3459 pages = {245{\textendash}301}, 3460 reviews = {MR 81b:20012a, 81b:20012b, 81b:20012c (Wolfgang 3461 Knapp), Zbl 431.20039, 431.20040, 431.20041 (authors)}, 3462 printedkey = {PP80} 3463} 3464@article{ MR551303, 3465 author = {Plesken, W. and Pohst, M.}, 3466 title = {On maximal finite irreducible subgroups of {$GL(n, 3467 Z)$}. {III}. {T}he nine-dimensional case}, 3468 journal = {Math. Comp.}, 3469 volume = {34}, 3470 number = {149}, 3471 year = {1980}, 3472 pages = {245{\textendash}258}, 3473 coden = {MCMPAF}, 3474 fjournal = {Mathematics of Computation}, 3475 issn = {0025-5718}, 3476 mrclass = {20C10}, 3477 mrnumber = {MR551303 (81b:20012a)}, 3478 mrreviewer = {Wolfgang Knapp}, 3479 printedkey = {PP80} 3480} 3481@article{ MR551304, 3482 author = {Plesken, W. and Pohst, M.}, 3483 title = {On maximal finite irreducible subgroups of {$GL(n, 3484 Z)$}. {IV}. {R}emarks on even dimensions with 3485 applications to {$n = 8$}}, 3486 journal = {Math. Comp.}, 3487 volume = {34}, 3488 number = {149}, 3489 year = {1980}, 3490 pages = {259{\textendash}275}, 3491 coden = {MCMPAF}, 3492 fjournal = {Mathematics of Computation}, 3493 issn = {0025-5718}, 3494 mrclass = {20C10}, 3495 mrnumber = {MR551304 (81b:20012b)}, 3496 mrreviewer = {Wolfgang Knapp}, 3497 printedkey = {PP80} 3498} 3499@article{ MR551305, 3500 author = {Plesken, W. and Pohst, M.}, 3501 title = {On maximal finite irreducible subgroups of {$GL(n, 3502 Z)$}. {V}. {T}he eight-dimensional case and a complete 3503 description of dimensions less than ten}, 3504 journal = {Math. Comp.}, 3505 volume = {34}, 3506 number = {149}, 3507 year = {1980}, 3508 pages = {277{\textendash}301, loose microfiche suppl}, 3509 coden = {MCMPAF}, 3510 fjournal = {Mathematics of Computation}, 3511 issn = {0025-5718}, 3512 mrclass = {20C10}, 3513 mrnumber = {MR551305 (81b:20012c)}, 3514 mrreviewer = {Wolfgang Knapp}, 3515 printedkey = {PP80} 3516} 3517@article{ Poh87, 3518 author = {Pohst, M.}, 3519 title = {A modification of the {LLL} reduction algorithm}, 3520 journal = {J. Symbolic Comput.}, 3521 volume = {4}, 3522 number = {1}, 3523 year = {1987}, 3524 pages = {123{\textendash}127}, 3525 fjournal = {Journal of Symbolic Computation}, 3526 issn = {0747-7171}, 3527 mrclass = {11Y16 (11H06 11R27 11Y05 68Q20)}, 3528 mrnumber = {MR908420 (89c:11183)}, 3529 mrreviewer = {Hans G. Kopetzky}, 3530 printedkey = {Poh87} 3531} 3532@article{ Ram91, 3533 author = {Ram, A.}, 3534 title = {A {F}robenius formula for the characters of the 3535 {H}ecke algebras}, 3536 journal = {Invent. Math.}, 3537 volume = {106}, 3538 number = {3}, 3539 year = {1991}, 3540 pages = {461{\textendash}488}, 3541 coden = {INVMBH}, 3542 fjournal = {Inventiones Mathematicae}, 3543 issn = {0020-9910}, 3544 mrclass = {20C30 (05E05 16W30 17B37)}, 3545 mrnumber = {MR1134480 (93c:20029)}, 3546 mrreviewer = {Jie Du}, 3547 printedkey = {Ram91} 3548} 3549@manual{ Ram99a, 3550 author = {Ramsay, C.}, 3551 title = {{ACE} for {Amateurs}}, 3552 organization = {Centre for Discrete Mathematics and Computing, The 3553 University of Queensland}, 3554 year = {1999}, 3555 note = {Draft}, 3556 printedkey = {Ram99} 3557} 3558@manual{ Ram99, 3559 author = {Ramsay, C.}, 3560 title = {{ACE} User Manual}, 3561 address = {Department of Computer Science \& Electrical 3562 Engineering and Department of Mathematics, The 3563 University of Queensland, QLD 4072, Australia}, 3564 year = {1999}, 3565 note = {Draft}, 3566 organisation = {Centre for Discrete Mathematics and Computing}, 3567 printedkey = {Ram99} 3568} 3569@manual{ Rin93, 3570 author = {Ringe, M.}, 3571 title = {The {C} {M}eat{A}xe, Release 1.5}, 3572 organization = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch 3573 Westf{\"a}lische Technische Hochschule}, 3574 address = {Aachen, Germany}, 3575 year = {1993}, 3576 printedkey = {Rin93} 3577} 3578@manual{ Rin98, 3579 author = {Ringe, M.}, 3580 title = {The {C} {M}eat{A}xe, Release 2.3}, 3581 organization = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch 3582 Westf{\"a}lische Technische Hochschule}, 3583 address = {Aachen, Germany}, 3584 year = {1998}, 3585 printedkey = {Rin98} 3586} 3587@article{ Rob88, 3588 author = {Robertson, E. 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Symbolic Comput.}, 3640 volume = {4}, 3641 number = {2}, 3642 year = {1987}, 3643 pages = {255{\textendash}268}, 3644 fjournal = {Journal of Symbolic Computation}, 3645 issn = {0747-7171}, 3646 mrclass = {20B05}, 3647 mrnumber = {MR922391 (89b:20010)}, 3648 mrreviewer = {Martin W. Liebeck}, 3649 printedkey = {Roy87} 3650} 3651@article{ RylandsTalor98, 3652 author = {Rylands, L. J. and Taylor, D. E.}, 3653 title = {Matrix generators for the orthogonal groups}, 3654 journal = {J. Symbolic Comput.}, 3655 volume = {25}, 3656 number = {3}, 3657 year = {1998}, 3658 pages = {351{\textendash}360}, 3659 fjournal = {Journal of Symbolic Computation}, 3660 issn = {0747-7171}, 3661 mrclass = {20G40}, 3662 mrnumber = {MR1615330 (99d:20078)}, 3663 mrreviewer = {A. G. Earnest}, 3664 printedkey = {RT98} 3665} 3666@article{ Sco73, 3667 author = {Scott, L. L.}, 3668 title = {Modular permutation representations}, 3669 journal = {Trans. Amer. Math. 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Math.}, 3723 volume = {52}, 3724 number = {1-3}, 3725 year = {1998}, 3726 pages = {183{\textendash}207}, 3727 note = {Algebra and combinatorics: interactions and 3728 applications (K{\"o}nigstein, 1994)}, 3729 coden = {AAMADV}, 3730 fjournal = {Acta Applicandae Mathematicae. An International Survey 3731 Journal on Applying Mathematics and Mathematical 3732 Applications}, 3733 issn = {0167-8019}, 3734 mrclass = {20B40 (20-04 68W30)}, 3735 mrnumber = {MR1649697 (2000e:20008)}, 3736 mrreviewer = {Miguel {\a'A}. Borges-Trenard}, 3737 printedkey = {Ser98} 3738} 3739@article{ ST54, 3740 author = {Shephard, G. C. and Todd, J. A.}, 3741 title = {Finite unitary reflection groups}, 3742 journal = {Canadian J. Math.}, 3743 volume = {6}, 3744 year = {1954}, 3745 pages = {274{\textendash}304}, 3746 mrclass = {20.0X}, 3747 mrnumber = {MR0059914 (15,600b)}, 3748 mrreviewer = {H. S. M. Coxeter}, 3749 printedkey = {ST54} 3750} 3751@book{ Sho92, 3752 author = {Short, M. W.}, 3753 title = {The primitive soluble permutation groups of degree 3754 less than {$256$}}, 3755 publisher = {Springer-Verlag}, 3756 series = {Lecture Notes in Mathematics}, 3757 volume = {1519}, 3758 address = {Berlin}, 3759 year = {1992}, 3760 pages = {x+145}, 3761 isbn = {3-540-55501-3}, 3762 mrclass = {20B15 (20B35 20B40 20F16)}, 3763 mrnumber = {MR1176516 (93g:20006)}, 3764 mrreviewer = {A. S. Kondrat{\ensuremath{'}}ev}, 3765 printedkey = {Sho92} 3766} 3767@inproceedings{ Sim70, 3768 author = {Sims, C. C.}, 3769 editor = {Leech, J.}, 3770 booktitle = {Computational Problems in Abstract Algebra (Proc. 3771 Conf., Oxford, 1967)}, 3772 title = {Computational methods in the study of permutation 3773 groups}, 3774 publisher = {Pergamon}, 3775 series = {Proceedings of a Conference held at Oxford under the 3776 auspices of the Science Research Council, Atlas 3777 Computer Laboratory}, 3778 volume = {29}, 3779 address = {Oxford}, 3780 year = {1970}, 3781 pages = {169{\textendash}183}, 3782 crossref = {Oxford67}, 3783 notes = {RUSSIAN translation in: Computations in algebra and 3784 number theory (Russian), edited by B.{\nobreakspace}B. 3785 Venkov and D.{\nobreakspace}K. Faddeev, pp. 3786 129{\textendash}147, Matematika, Novoie v Zarubeznoi 3787 Naukie, vol. 2, Izdat. MIR, Moscow, 1976}, 3788 mrclass = {20.20 (65.00)}, 3789 mrnumber = {MR0257203 (41 \#1856)}, 3790 mrreviewer = {H. Kimura}, 3791 reviews = {MR 41 \# 1856 (H. Kimura), Zbl 215, 100 (J. McKay), CR 3792 11 \# 19,829 (G.{\nobreakspace}N. Raney)}, 3793 keywords = {permutation groups; primitive groups, classification 3794 of, stabilizer chain; Schreier Sims}, 3795 printedkey = {Sim70} 3796} 3797@article{ Sims90b, 3798 author = {Sims, C. C.}, 3799 title = {Computing the order of a solvable permutation group}, 3800 journal = {J. Symbolic Comput.}, 3801 volume = {9}, 3802 number = {5-6}, 3803 year = {1990}, 3804 pages = {699{\textendash}705}, 3805 note = {Computational group theory, Part 1}, 3806 fjournal = {Journal of Symbolic Computation}, 3807 issn = {0747-7171}, 3808 mrclass = {20B40}, 3809 mrnumber = {MR1075432 (91m:20011)}, 3810 mrreviewer = {Gerhard Hiss}, 3811 printedkey = {Sim90} 3812} 3813@book{ Sims94, 3814 author = {Sims, C. C.}, 3815 title = {Computation with finitely presented groups}, 3816 publisher = {Cambridge University Press}, 3817 series = {Encyclopedia of Mathematics and its Applications}, 3818 volume = {48}, 3819 address = {Cambridge}, 3820 year = {1994}, 3821 pages = {xiii+604}, 3822 isbn = {0-521-43213-8}, 3823 mrclass = {20F05 (20-02 68Q40 68Q42)}, 3824 mrnumber = {MR1267733 (95f:20053)}, 3825 mrreviewer = {Friedrich Otto}, 3826 printedkey = {Sim94} 3827} 3828@inproceedings{ Sims97, 3829 author = {Sims, C. C.}, 3830 editor = {K{\"u}chlin, W.}, 3831 booktitle = {Proceedings of the 1997 International Symposium on 3832 Symbolic and Algebraic Computation (Kihei, HI)}, 3833 title = {Computing with subgroups of automorphism groups of 3834 finite groups}, 3835 organization = {The Association for Computing Machinery}, 3836 publisher = {ACM}, 3837 address = {New York}, 3838 year = {1997}, 3839 pages = {400{\textendash}403 (electronic)}, 3840 crossref = {ISSAC97}, 3841 note = {Held in Kihei, HI, July 21{\textendash}23, 1997}, 3842 key = {ACM}, 3843 mrclass = {68W30 (20D45)}, 3844 mrnumber = {MR1810006} 3845} 3846@manual{ Sog89, 3847 title = {{SOGOS} - A Program System for Handling Subgroups of 3848 Finite Soluble Groups, version 5.0, User's reference 3849 manual}, 3850 organization = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch 3851 Westf{\"a}lische Technische Hochschule}, 3852 address = {Aachen, Germany}, 3853 year = {1989}, 3854 keywords = {groups, finitely presented groups, polycyclic groups, 3855 nilpotent groups, p-groups; SOGOS, pc-presentation, 3856 ag-presentation, collection, elements, classes of 3857 conjugate elements, centralizer, normalizer, normal 3858 closure, intersection, sylow subgroups, derived 3859 subgroup, series, central series, p-central series, 3860 subgroup lattice, table of marks, complements, factor 3861 groups; nilpotent quotient (nq); manual}, 3862 printedkey = {NOAUTHOROREDITOR{\textunderscore}SPECIFYKEY} 3863} 3864@inproceedings{ Soi91, 3865 author = {Soicher, L. H.}, 3866 editor = {Finkelstein, L. and Kantor, W. M.}, 3867 booktitle = {Groups and computation (New Brunswick, NJ, 1991)}, 3868 title = {G{RAPE}: a system for computing with graphs and groups}, 3869 publisher = {Amer. Math. Soc.}, 3870 series = {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.}, 3871 volume = {11}, 3872 address = {Providence, RI}, 3873 year = {1993}, 3874 pages = {287{\textendash}291}, 3875 crossref = {DIMACS}, 3876 isbn = {0-8218-6599-4}, 3877 mrclass = {05C85 (20B40)}, 3878 mrnumber = {MR1235810}, 3879 printedkey = {Soi93} 3880} 3881@article{ Sou94, 3882 author = {Souvignier, B.}, 3883 title = {Irreducible finite integral matrix groups of degree 3884 {$8$} and {$10$}}, 3885 journal = {Math. Comp.}, 3886 volume = {63}, 3887 number = {207}, 3888 year = {1994}, 3889 pages = {335{\textendash}350}, 3890 note = {With microfiche supplement}, 3891 coden = {MCMPAF}, 3892 fjournal = {Mathematics of Computation}, 3893 issn = {0025-5718}, 3894 mrclass = {20H15 (11E12 20C10 20C40)}, 3895 mrnumber = {MR1213836 (94i:20091)}, 3896 mrreviewer = {Alexander W. Mason}, 3897 printedkey = {Sou94} 3898} 3899@manual{ Spa89, 3900 title = {{SPAS} - {S}ubgroup {P}resentation {A}lgorithms 3901 {S}ystem, version 2.5, User's reference manual}, 3902 organization = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch 3903 Westf{\"a}lische Technische Hochschule}, 3904 address = {Aachen, Germany}, 3905 year = {1989}, 3906 key = {SPAS}, 3907 keywords = {finitely presented groups; SPAS, subgroup 3908 presentation, simplification, low index subgroups; 3909 Todd Coxeter (tc), modified Todd Coxeter (mtc), 3910 Reidemeister Schreier (rs), reduced Reidemeister 3911 Schreier (rrs), Tietze transformations, tree decoding; 3912 manual} 3913} 3914@book{ Spr81, 3915 author = {Springer, T. A.}, 3916 title = {Linear algebraic groups}, 3917 publisher = {Birkh{\"a}user Boston}, 3918 series = {Progress in Mathematics}, 3919 volume = {9}, 3920 address = {Mass.}, 3921 year = {1981}, 3922 pages = {x+304}, 3923 isbn = {3-7643-3029-5}, 3924 mrclass = {20-02 (20Gxx)}, 3925 mrnumber = {MR632835 (84i:20002)}, 3926 printedkey = {Spr81} 3927} 3928@article{ Ste89, 3929 author = {Stembridge, J. R.}, 3930 title = {On the eigenvalues of representations of reflection 3931 groups and wreath products}, 3932 journal = {Pacific J. Math.}, 3933 volume = {140}, 3934 number = {2}, 3935 year = {1989}, 3936 pages = {353{\textendash}396}, 3937 coden = {PJMAAI}, 3938 fjournal = {Pacific Journal of Mathematics}, 3939 issn = {0030-8730}, 3940 mrclass = {20C30 (20C15)}, 3941 mrnumber = {MR1023791 (91a:20022)}, 3942 mrreviewer = {A. Kerber}, 3943 printedkey = {Ste89} 3944} 3945@article{ Tay87, 3946 author = {Taylor, D. E.}, 3947 title = {Pairs of Generators for Matrix Groups. {I}}, 3948 journal = {The Cayley Bulletin}, 3949 volume = {3}, 3950 year = {1987}, 3951 printedkey = {Tay87} 3952} 3953@mastersthesis{ Theissen93, 3954 author = {Thei{\ss}en, H.}, 3955 title = {{Methoden zur Bestimmung der rationalen Konjugiertheit 3956 in endlichen Gruppen}}, 3957 school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch 3958 Westf{\"a}lische Technische Hochschule}, 3959 address = {Aachen, Germany}, 3960 year = {1993}, 3961 printedkey = {The93}, 3962 type = {Diplomarbeit} 3963} 3964@phdthesis{ Theissen97, 3965 author = {Thei{\ss}en, H.}, 3966 title = {{Eine Methode zur Normalisatorberechnung in 3967 Permutationsgruppen mit Anwendungen in der 3968 Konstruktion primitiver Gruppen}}, 3969 school = {Rheinisch Westf{\"a}lische Technische Hochschule}, 3970 address = {Aachen, Germany}, 3971 year = {1997}, 3972 printedkey = {The97}, 3973 type = {Dissertation} 3974} 3975@mastersthesis{ Thi87, 3976 author = {Thiemann, P.}, 3977 title = {{SOGOS} {III} - {C}haraktere und 3978 {E}ffizienzuntersuchung}, 3979 school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch 3980 Westf{\"a}lische Technische Hochschule}, 3981 address = {Aachen, Germany}, 3982 year = {1987}, 3983 printedkey = {Thi87}, 3984 type = {Diplomarbeit} 3985} 3986@inproceedings{ VL84, 3987 author = {Vaughan-Lee, M. R.}, 3988 editor = {Atkinson, M. D.}, 3989 booktitle = {Computational group theory (Durham, 1982)}, 3990 title = {An aspect of the nilpotent quotient algorithm}, 3991 publisher = {Academic Press}, 3992 address = {London}, 3993 year = {1984}, 3994 pages = {75{\textendash}83}, 3995 crossref = {Durham1982}, 3996 isbn = {0-12-066270-1}, 3997 mrclass = {20F05 (20-04 20D15 68Q40)}, 3998 mrnumber = {MR760652 (86b:20040)}, 3999 mrreviewer = {M. F. Newman}, 4000 printedkey = {Vau84} 4001} 4002@article{ VL90a, 4003 author = {Vaughan-Lee, M. R.}, 4004 title = {Collection from the left}, 4005 journal = {J. Symbolic Comput.}, 4006 publisher = {Academic Press}, 4007 volume = {9}, 4008 number = {5-6}, 4009 year = {1990}, 4010 pages = {725{\textendash}733}, 4011 note = {Computational group theory, Part 1}, 4012 fjournal = {Journal of Symbolic Computation}, 4013 issn = {0747-7171}, 4014 mrclass = {20F12 (20-04 20D15 20F18)}, 4015 mrnumber = {MR1075434 (92c:20065)}, 4016 mrreviewer = {M. Greendlinger}, 4017 printedkey = {Vau90} 4018} 4019@book{ VL90b, 4020 author = {Vaughan-Lee, M.}, 4021 title = {The restricted {B}urnside problem}, 4022 publisher = {The Clarendon Press Oxford University Press}, 4023 series = {London Mathematical Society Monographs. New Series}, 4024 volume = {5}, 4025 address = {New York}, 4026 year = {1990}, 4027 pages = {xiv+209}, 4028 note = {, Oxford Science Publications}, 4029 isbn = {0-19-853573-2}, 4030 mrclass = {20-02 (20F12 20F40 20F45 20F50)}, 4031 mrnumber = {MR1057610 (92c:20001)}, 4032 mrreviewer = {Norman Blackburn}, 4033 printedkey = {Vau90} 4034} 4035@article{ vdW76, 4036 author = {van der Waall, R. W.}, 4037 title = {On symplectic primitive modules and monomial groups}, 4038 journal = {Nederl. Akad. Wetensch. Proc. Ser. A 79, Indag. Math.}, 4039 volume = {38}, 4040 number = {4}, 4041 year = {1976}, 4042 pages = {362{\textendash}375}, 4043 mrclass = {20D10}, 4044 mrnumber = {MR0424931 (54 \#12889)}, 4045 mrreviewer = {T. R. Berger}, 4046 printedkey = {vdW76} 4047} 4048@article{ Wagon90, 4049 author = {Wagon, S.}, 4050 title = {Editor's corner: the {E}uclidean algorithm strikes 4051 again}, 4052 journal = {Amer. Math. Monthly}, 4053 volume = {97}, 4054 number = {2}, 4055 year = {1990}, 4056 pages = {125{\textendash}129}, 4057 coden = {AMMYAE}, 4058 fjournal = {The American Mathematical Monthly}, 4059 issn = {0002-9890}, 4060 mrclass = {11E25 (11Y50)}, 4061 mrnumber = {MR1041889 (91b:11039)}, 4062 mrreviewer = {K. S. Williams}, 4063 printedkey = {Wag90} 4064} 4065@techreport{ wielandt69, 4066 author = {Wielandt, H.}, 4067 title = {Permutation groups through invariant relations and 4068 invariant functions}, 4069 institution = {Department of Mathematics, The Ohio State University}, 4070 year = {1969}, 4071 printedkey = {Wie69}, 4072 type = {Lecture Notes} 4073} 4074@misc{ AGR, 4075 author = {Wilson, R. A. and Walsh, P. and Tripp, J. and 4076 Suleiman, I. and Parker, R. A. and Norton, S. P. and 4077 Nickerson, S. and Linton, S. and Bray, J. and Abbott, 4078 R.}, 4079 title = {{ATLAS of Finite Group Representations}}, 4080 howpublished = {\href {http://brauer.maths.qmul.ac.uk/Atlas/} 4081 {\texttt{http://brauer.maths.qmul.ac.uk/}\discretionary 4082 {}{}{}\texttt{Atlas/}}}, 4083 key = {ATLAS} 4084} 4085@article{ BSW01, 4086 author = {Bray, J. N. and Suleiman, I. A. I. and Walsh, P. G. 4087 and Wilson, R. A.}, 4088 title = {Generating maximal subgroups of sporadic simple groups}, 4089 journal = {Comm. Algebra}, 4090 volume = {29}, 4091 number = {3}, 4092 year = {2001}, 4093 pages = {1325{\textendash}1337}, 4094 coden = {COALDM}, 4095 fjournal = {Communications in Algebra}, 4096 issn = {0092-7872}, 4097 mrclass = {20D08}, 4098 mrnumber = {MR1842416 (2002e:20032)}, 4099 mrreviewer = {Hiroyoshi Yamaki}, 4100 printedkey = {BSWW01} 4101} 4102@article{ Wil96, 4103 author = {Wilson, R. A.}, 4104 title = {Standard generators for sporadic simple groups}, 4105 journal = {J. Algebra}, 4106 volume = {184}, 4107 number = {2}, 4108 year = {1996}, 4109 pages = {505{\textendash}515}, 4110 coden = {JALGA4}, 4111 fjournal = {Journal of Algebra}, 4112 issn = {0021-8693}, 4113 mrclass = {20D08}, 4114 mrnumber = {MR1409225 (98e:20025)}, 4115 printedkey = {Wil96} 4116} 4117@incollection{ Won95, 4118 author = {Wondratschek, H.}, 4119 editor = {Hahn, T.}, 4120 booktitle = {International Tables for Crystallography, {V}ol. {A}}, 4121 title = {Introduction to space-group symmetry}, 4122 publisher = {Kluwer, Dordrecht}, 4123 edition = {4th}, 4124 year = {1995}, 4125 pages = {711{\textendash}735}, 4126 crossref = {Hah95}, 4127 note = {Space-group symmetry}, 4128 printedkey = {Won95} 4129} 4130@manual{ Wur93, 4131 author = {Wursthorn, M.}, 4132 title = {{SISYPHOS} Computing in modular group algebras, 4133 Version 0.5}, 4134 organization = {Math. Inst. B, 3. Lehrstuhl}, 4135 address = {Universit{\"a}t Stuttgart}, 4136 year = {1993}, 4137 printedkey = {Wur93} 4138} 4139@article{ Zagier90, 4140 author = {Zagier, D.}, 4141 title = {A one-sentence proof that every prime {$p \equiv 1 4142 \pmod 4$} is a sum of two squares}, 4143 journal = {Amer. Math. Monthly}, 4144 volume = {97}, 4145 number = {2}, 4146 year = {1990}, 4147 pages = {144}, 4148 coden = {AMMYAE}, 4149 fjournal = {The American Mathematical Monthly}, 4150 issn = {0002-9890}, 4151 mrclass = {11E25}, 4152 mrnumber = {MR1041893 (91b:11040)}, 4153 mrreviewer = {K. S. Williams}, 4154 printedkey = {Zag90} 4155} 4156@mastersthesis{ Zum89, 4157 author = {Zumbroich, M.}, 4158 title = {{Grundlagen} einer {Arithmetik} in 4159 {Kreisteilungsk{\"o}rpern} und ihre {Implementation} 4160 in {CAS}}, 4161 school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch 4162 Westf{\"a}lische Technische Hochschule}, 4163 address = {Aachen, Germany}, 4164 year = {1989}, 4165 printedkey = {Zum89}, 4166 type = {Diplomarbeit} 4167} 4168@proceedings{ Oxford67, 4169 editor = {Leech, J.}, 4170 booktitle = {Computational Problems in Abstract Algebra, Proc. 4171 Conf. Oxford, 1967}, 4172 title = {Computational problems in abstract algebra}, 4173 publisher = {Pergamon Press}, 4174 series = {Proceedings of a Conference held at Oxford under the 4175 auspices of the Science Research Council, Atlas 4176 Computer Laboratory}, 4177 volume = {29}, 4178 address = {Oxford}, 4179 year = {1970}, 4180 pages = {x+402}, 4181 mrclass = {00.04 (10.00)}, 4182 mrnumber = {MR0252149 (40 \#5374)}, 4183 reviews = {MR 40\#5374, Zbl 186.299}, 4184 printedkey = {Lee70} 4185} 4186@proceedings{ Canberra73, 4187 editor = {Newman, M. F.}, 4188 booktitle = {Proceedings of the Second International Conference on 4189 the Theory of Groups, Canberra, 1973}, 4190 title = {Proceedings of the {S}econd {I}nternational 4191 {C}onference on the {T}heory of {G}roups}, 4192 publisher = {Springer-Verlag}, 4193 series = {Lecture Notes in Math.}, 4194 volume = {372}, 4195 address = {Berlin}, 4196 year = {1974}, 4197 pages = {vii+740}, 4198 note = {Held at the Australian National University, Canberra, 4199 August 13{\textendash}24, 1973, With an introduction 4200 by B. H. Neumann, Lecture Notes in Mathematics, Vol. 4201 372}, 4202 mrclass = {20-06}, 4203 mrnumber = {MR0344315 (49 \#9054)}, 4204 reviews = {MR 49\#9054, Zbl 282.00012}, 4205 printedkey = {New74} 4206} 4207@proceedings{ Canberra75, 4208 editor = {Bryce, R. A. and Cossey, J. and Newman, M. F.}, 4209 booktitle = {Group theory, Proc. Miniconf., Austral. Nat. Univ., 4210 Canberra, 1975}, 4211 title = {Group theory}, 4212 publisher = {Springer-Verlag}, 4213 series = {Lecture Notes in Math.}, 4214 volume = {573}, 4215 address = {Berlin}, 4216 year = {1977}, 4217 pages = {v+146}, 4218 note = {Lecture Notes in Mathematics, Vol. 573}, 4219 mrclass = {20-06}, 4220 mrnumber = {MR0430032 (55 \#3040)}, 4221 reviews = {MR 55\#3040, Zbl 342.00008}, 4222 printedkey = {BCN77} 4223} 4224@proceedings{ Bielefeld77, 4225 editor = {Mennicke, J. L.}, 4226 booktitle = {Proceedings of a Workshop held at the University of 4227 Bielefeld, Bielefeld, June{\textendash}July 1977}, 4228 title = {Burnside groups}, 4229 publisher = {Springer}, 4230 series = {Lecture Notes in Mathematics}, 4231 volume = {806}, 4232 address = {Berlin}, 4233 year = {1980}, 4234 pages = {ii+274}, 4235 isbn = {3-540-10006-7}, 4236 mrclass = {20-06}, 4237 mrnumber = {MR586041 (81j:20002)}, 4238 reviews = {MR 81j:20002, Zbl 424.00008}, 4239 printedkey = {Men80} 4240} 4241@proceedings{ EUROSAM79, 4242 editor = {Ng, E. W.}, 4243 title = {Symbolic and algebraic computation}, 4244 publisher = {Springer-Verlag}, 4245 series = {Lecture Notes in Computer Science}, 4246 volume = {72}, 4247 address = {Berlin}, 4248 year = {1979}, 4249 pages = {xv+557}, 4250 note = {EUROSAM '79, an International Symposium held in 4251 Marseille, June 1979}, 4252 isbn = {3-540-09519-5}, 4253 mrclass = {68-06 (68C20)}, 4254 mrnumber = {MR575677 (81d:68005)}, 4255 printedkey = {Ng79} 4256} 4257@proceedings{ Durham1982, 4258 editor = {Atkinson, M. D.}, 4259 booktitle = {Proceedings of the London Mathematical Society 4260 symposium held in Durham, July 30{\textendash}August 4261 9, 1982}, 4262 title = {Computational group theory}, 4263 publisher = {Academic Press Inc. [Harcourt Brace Jovanovich 4264 Publishers]}, 4265 address = {London}, 4266 year = {1984}, 4267 pages = {xii+375}, 4268 isbn = {0-12-066270-1}, 4269 mrclass = {20-06 (68-06)}, 4270 mrnumber = {MR760641 (85g:20001)}, 4271 printedkey = {Atk84} 4272} 4273@proceedings{ GrpsStAndrews81, 4274 editor = {Campbell, C. M. and Robertson, E. F.}, 4275 booktitle = {Proceedings of the International Conference on Groups 4276 held at the Mathematical Institute, University of St 4277 Andrews, St. Andrews, July 25{\textendash}August 8, 4278 1981}, 4279 title = {Groups{\textendash}{S}t. {A}ndrews 1981}, 4280 publisher = {Cambridge University Press}, 4281 series = {London Mathematical Society Lecture Note Series}, 4282 volume = {71}, 4283 address = {Cambridge}, 4284 year = {1982}, 4285 pages = {viii+360}, 4286 isbn = {0-521-28974-2}, 4287 mrclass = {20-06}, 4288 mrnumber = {MR679152 (83j:20005)}, 4289 printedkey = {CR82} 4290} 4291@proceedings{ Singapore87, 4292 editor = {Cheng, K. N. and Leong, Y. K.}, 4293 booktitle = {Proceedings of the Singapore Group Theory Conference 4294 held at the National University of Singapore, 4295 Singapore, June 8{\textendash}19, 1987}, 4296 title = {Group theory}, 4297 publisher = {Walter de Gruyter \& Co.}, 4298 address = {Berlin}, 4299 year = {1989}, 4300 pages = {xviii + 586}, 4301 isbn = {3-11-011366-X}, 4302 mrclass = {20-06}, 4303 mrnumber = {MR981831 (89j:20001)}, 4304 printedkey = {CL89} 4305} 4306@proceedings{ MR91, 4307 editor = {Michler, G. O. and Ringel, C. M.}, 4308 booktitle = {Proceedings of the conference held at the University 4309 of Bielefeld, Bielefeld, May 15{\textendash}17, 1991}, 4310 title = {Representation theory of finite groups and 4311 finite-dimensional algebras}, 4312 publisher = {Birkh{\"a}user Verlag}, 4313 series = {Progress in Mathematics}, 4314 volume = {95}, 4315 address = {Basel}, 4316 year = {1991}, 4317 pages = {x+520}, 4318 isbn = {3-7643-2604-2}, 4319 mrclass = {20-06 (00B25 16-06 20Cxx)}, 4320 mrnumber = {MR1112154 (91m:20005)}, 4321 printedkey = {MR91} 4322} 4323@proceedings{ ISSAC91, 4324 booktitle = {Proceedings of the International Symposium on Symbolic 4325 and Algebraic Computation (ISSAC'91), Bonn 1991}, 4326 title = {Proceedings of the 1991 International Symposium on 4327 Symbolic and Algebraic Computation (ISSAC'91), Bonn 4328 1991}, 4329 publisher = {ACM Press}, 4330 year = {1991}, 4331 printedkey = {NOAUTHOROREDITOR{\textunderscore}SPECIFYKEY} 4332} 4333@proceedings{ ISSAC97, 4334 editor = {K{\"u}chlin, W.}, 4335 title = {Proceedings of the 1997 {I}nternational {S}ymposium on 4336 {S}ymbolic and {A}lgebraic {C}omputation}, 4337 organization = {The Association for Computing Machinery}, 4338 publisher = {Association for Computing Machinery (ACM)}, 4339 address = {New York}, 4340 year = {1997}, 4341 pages = {electronic}, 4342 note = {Held in Kihei, HI, July 21{\textendash}23, 1997}, 4343 key = {ACM}, 4344 mrclass = {68-06 (65-06 68W30)}, 4345 mrnumber = {MR1809584 (2001i:68010)} 4346} 4347@proceedings{ MR1805195, 4348 editor = {Gloor, O.}, 4349 title = {Proceedings of the 1998 {I}nternational {S}ymposium on 4350 {S}ymbolic and {A}lgebraic {C}omputation}, 4351 organization = {The Association for Computing Machinery}, 4352 publisher = {Association for Computing Machinery (ACM)}, 4353 address = {New York}, 4354 year = {1998}, 4355 pages = {front matter+321 pp. (electronic)}, 4356 note = {Held in Rostock, August 13{\textendash}15, 1998}, 4357 key = {ACM}, 4358 mrclass = {68-06 (00B25 68W30)}, 4359 mrnumber = {MR1805195 (2001m:68004)} 4360} 4361@proceedings{ DIMACS, 4362 editor = {Finkelstein, L. and Kantor, W. M.}, 4363 booktitle = {Proceedings of the DIMACS Workshop held at Rutgers 4364 University, New Brunswick, New Jersey, October 4365 7{\textendash}10, 1991}, 4366 title = {Groups and computation}, 4367 publisher = {American Mathematical Society}, 4368 series = {DIMACS Series in Discrete Mathematics and Theoretical 4369 Computer Science, 11}, 4370 address = {Providence, RI}, 4371 year = {1993}, 4372 pages = {xx+313}, 4373 isbn = {0-8218-6599-4}, 4374 mrclass = {20-06 (20B40)}, 4375 mrnumber = {MR1235790 (94c:20003)}, 4376 printedkey = {FK93} 4377} 4378@proceedings{ DIMACS2, 4379 editor = {Finkelstein, L. and Kantor, W. M.}, 4380 booktitle = {Proceedings of the 2nd DIMACS Workshop held at Rutgers 4381 University, New Brunswick, NJ, June 7{\textendash}10, 4382 1995}, 4383 title = {Groups and computation. {II}}, 4384 publisher = {American Mathematical Society}, 4385 series = {DIMACS Series in Discrete Mathematics and Theoretical 4386 Computer Science, 28}, 4387 address = {Providence, RI}, 4388 year = {1997}, 4389 pages = {xviii+382}, 4390 isbn = {0-8218-0516-9}, 4391 mrclass = {20-06 (68-06)}, 4392 mrnumber = {MR1444126 (97m:20003)}, 4393 printedkey = {FK97} 4394} 4395@proceedings{ DIMACS3, 4396 editor = {Kantor, W. M. and Seress, {\a'A}.}, 4397 booktitle = {Proceedings of the 3rd International Conference held 4398 at The Ohio State University, Columbus, OH, June 4399 15{\textendash}19, 1999}, 4400 title = {Groups and computation. {III}}, 4401 publisher = {Walter de Gruyter \& Co.}, 4402 series = {Ohio State University Mathematical Research Institute 4403 Publications, 8}, 4404 address = {Berlin}, 4405 year = {2001}, 4406 pages = {viii+368}, 4407 isbn = {3-11-016721-2}, 4408 mrclass = {20-06}, 4409 mrnumber = {MR1829467 (2002d:20003)}, 4410 printedkey = {KS01} 4411} 4412@proceedings{ DIMACS94, 4413 editor = {Baumslag, G. and Epstein, D. and Gilman, R. and Short, 4414 H. and Sims, C.}, 4415 booktitle = {Proceedings of the Joint DIMACS/Geometry Center 4416 Workshop held at the University of Minnesota, 4417 Minneapolis, Minnesota, January 3{\textendash}14, 1994 4418 and Rutgers University, New Brunswick, New Jersey, 4419 March 17{\textendash}20, 1994}, 4420 title = {Geometric and computational perspectives on infinite 4421 groups}, 4422 publisher = {American Mathematical Society}, 4423 series = {DIMACS Series in Discrete Mathematics and Theoretical 4424 Computer Science, 25}, 4425 address = {Providence, RI}, 4426 year = {1996}, 4427 pages = {xvi+212}, 4428 isbn = {0-8218-0449-9}, 4429 mrclass = {20F32 (20-06)}, 4430 mrnumber = {MR1364175 (96g:20055)}, 4431 printedkey = {BEGSS96} 4432} 4433@proceedings{ Groups93Vol1, 4434 editor = {Campbell, C. M. and Hurley, T. C. and Robertson, E. F. 4435 and Tobin, S. J. and Ward, J. J.}, 4436 booktitle = {Proceedings of the International Conference held at 4437 University College, Galway, August 1{\textendash}14, 4438 1993}, 4439 title = {Groups '93 {G}alway/{S}t. {A}ndrews. {V}ol. 1}, 4440 publisher = {Cambridge University Press}, 4441 series = {London Mathematical Society Lecture Note Series}, 4442 volume = {211}, 4443 address = {Cambridge}, 4444 year = {1995}, 4445 pages = {xii+304}, 4446 isbn = {0-521-47749-2}, 4447 mrclass = {20-06}, 4448 mrnumber = {MR1342775 (96b:20001a)}, 4449 printedkey = {CHRTW95} 4450} 4451@proceedings{ Groups93Vol2, 4452 editor = {Campbell, C. M. and Hurley, T. C. and Robertson, E. F. 4453 and Tobin, S. J. and Ward, J. 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Math. 139 4511 (1911), 155{\textendash}250] by Marc-Felix Otto}, 4512 coden = {IJTPBM}, 4513 fjournal = {International Journal of Theoretical Physics}, 4514 issn = {0020-7748}, 4515 mrclass = {20C25 (05E05 20C30)}, 4516 mrnumber = {MR1820589 (2003a:20016)}, 4517 mrreviewer = {Tadeusz J{\a'o}zefiak}, 4518 url = {http://dx.doi.org/10.1023/A:1003772419522}, 4519 doi = {10.1023/A:1003772419522}, 4520 printedkey = {Sch01} 4521} 4522@article{ Schur1911, 4523 author = {Schur, J.}, 4524 title = {{\"U}ber die Darstellung der symmetrischen und der 4525 alternierenden Gruppe durch gebrochene lineare 4526 Substitutionen}, 4527 journal = {Journal f{\"u}r die reine und angewandte Mathematik}, 4528 volume = {139}, 4529 year = {1911}, 4530 pages = {155{\textendash}250}, 4531 url = {http://www.digizeitschriften.de/resolveppn/GDZPPN002167298}, 4532 jfm = {42.0154.02}, 4533 printedkey = {Sch11} 4534} 4535@article{ Maas2010, 4536 author = {Maas, L.}, 4537 title = {On a construction of the basic spin representations of 4538 symmetric groups}, 4539 journal = {Communications in Algebra}, 4540 volume = {38}, 4541 year = {2010}, 4542 pages = {4545{\textendash}4552}, 4543 url = {http://arxiv.org/abs/0911.3794}, 4544 doi = {10.1080/00927872.2010.490541}, 4545 printedkey = {Maa10} 4546} 4547@article{ BLS1975, 4548 author = {Brillhart, J. and Lehmer, D. and Selfridge, J.}, 4549 title = {New primality criteria and factorizations of $2^m \pm 4550 1$}, 4551 journal = {Mathematics of Computation}, 4552 volume = {29}, 4553 year = {1975}, 4554 pages = {620{\textendash}647}, 4555 url = {http://dx.doi.org/10.2307/2005583}, 4556 doi = {10.2307/2005583}, 4557 printedkey = {BLS75} 4558} 4559