1%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 2%% 3%W manual.bib ANUPQ documentation Werner Nickel 4%% 5%% 6%% manual.bib - BibTeX database file of ANUPQ references 7 8@ARTICLE{NNN98, 9 AUTHOR = {Newman, M. F. and Nickel, Werner and Niemeyer, Alice C.}, 10 TITLE = {Descriptions of groups of prime-power order}, 11 JOURNAL = {J. Symbolic Comput.}, 12 FJOURNAL = {Journal of Symbolic Computation}, 13 VOLUME = {25}, 14 YEAR = {1998}, 15 NUMBER = {5}, 16 PAGES = {665--682}, 17 ISSN = {0747-7171}, 18 MRCLASS = {20F05 (68Q40)}, 19 MRNUMBER = {99f:20054}, 20MRREVIEWER = {Michael C. Slattery}, 21} 22 23@article{LGS90, 24 AUTHOR = {Leedham-Green, C. R. and Soicher, L. H.}, 25 TITLE = {Collection from the left and other strategies}, 26 NOTE = {Computational group theory, Part 1}, 27 JOURNAL = {J. Symbolic Comput.}, 28 FJOURNAL = {Journal of Symbolic Computation}, 29 VOLUME = {9}, 30 YEAR = {1990}, 31 NUMBER = {5-6}, 32 PAGES = {665--675}, 33} 34 35%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 36%% 37%E 38 39 40 41%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 42%% 43%S Series . . . . . . . . . . . . . . . . . . . . abbreviations for series 44%% 45%% The following strings are abbreviations for series, which are used in 46%% *books*, *inbook*, and *proceedings*. 47%% 48@string{ AachenBM = "Aachener Beitr{\accent127a}ge zur Mathematik" } 49@string{ BayreuMS = "Bay\-reu\-ther Math. Schr." } 50@string{ GMathWiss = "Grundlehren Math. Wiss." } 51@string{ LMSLec = "London Math. Soc. Lecture Note Series" } 52@string{ LMSMon = "London Math. Soc. Monographs" } 53@string{ LNM = "Lecture Notes in Math." } 54@string{ OxfordMM = "Oxford Math. Monographs" } 55 56 57%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 58%% 59%S Schools, Institutions, Organizations . . . . . abbreviations for schools 60%% 61%% The following strings are abbreviations for schools, institutions, and 62%% organizations, which are used in *masterthesis* (schools), *techreports* 63%% (institutions), and *manuals* (organizations). 64%% 65@string{ DublinIAS = "Dublin Inst. Adv. Studies" } 66 67@string{ RWTH = "Rhei\-nisch West\-f{\accent127a}li\-sche Tech\-ni\-sche 68 Hoch\-schule" } 69@string{ RWTHLDfM = "Lehr\-stuhl D f{\accent127 u}r Ma\-the\-ma\-tik, 70 Rhei\-nisch West\-f{\accent127a}li\-sche Tech\-ni\-sche 71 Hoch\-schule" } 72@string{ RWTH-A = "Aachen, Germany" } 73 74@string{ UBath = "University of Bath" } 75@string{ UBathSMS = "School of Mathematical Sciences, 76 University of Bath" } 77@string{ UBath-A = "Bath, United Kingdom" } 78 79@string{ UBayreu = "Universit{\accent127a}t Bayreuth" } 80@string{ UBayreu-A = "Bayreuth, Germany" } 81 82@string{ UBonn = "Rheinische Friedrich Wilhelm Universit{\accent127a}t 83 Bonn" } 84@string{ UBonn-A = "Bonn, Germany" } 85 86@string{ UEssen = "Universit{\accent127a}t Essen" } 87@string{ UEssen-A = "Essen, Germany" } 88 89@string{UHeidel = "Universit{\accent127a}t Heidelberg" } 90 91@string{ UKiel = "Universit{\accent127a}t Kiel" } 92@string{ UKiel-A = "Kiel, Germany" } 93 94@string{ McGillU = "McGill University" } 95@string{ McGillU-A = "Montreal, Canada" } 96 97@string{ USydney = "University of Sydney" } 98@string{ USydBDCS = "Basser Department of Computer Science, 99 University of Sydney" } 100@string{ USydDPM = "Department of Pure Mathematics, 101 University of Sydney" } 102@string{ USydney-A = "Sydney, Australia" } 103 104 105%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 106%% 107%S Publishers . . . . . . . . . . . . . . . . abbreviations for publishers 108%% 109%% The following strings are abbreviations for publishers, which are used in 110%% *books*, *inbook*, and *proceedings*. 111%% 112@string{ AcaPress = "Academic Press" } 113@string{ ACM = "ACM Press" } 114@string{ AddWes = "Addison-Wesley" } 115@string{ AMS = "American Mathematical Society" } 116@string{ Birkhaeus = "Birkh{\accent127a}user, Basel" } 117@string{ BIWissV = "BI-Wis\-sen\-schafts\-ver\-lag, Mannheim" } 118@string{ CamUPress = "Cambridge University Press" } 119@string{ Dover = "Dover Publications, New York" } 120@string{ Gruyter = "Walter de Gruyter, Berlin, New York" } 121@string{ HDeutsch = "Verlag Harri Deutsch, Frankfurt/Main" } 122@string{ Macmillan = "The Macmillan Company, New York" } 123@string{ OxUnPress = "Oxford University Press" } 124@string{ Pergamon = "Pergamon Press, Oxford" } 125@string{ Springer = "Springer, Berlin, Heidelberg and New York" } 126@string{ Wiley = "John Wiley, New York" } 127@string{ Reidel = "Reidel, Dordrecht, Boston" } 128 129 130%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 131%% 132%R References . . . . . . . . . . . . . . . . . . . . . . . . . references 133%% 134%% The following are the references. They are ordered with respect to the 135%% last name of the first author. 136%% 137@phdthesis{Abb89, 138author = "J.~A.~Abbott", 139title = "On the Factorization of Polynomials over Algebraic Fields", 140school = UBathSMS, 141month = "September", 142year = "1989", 143} 144 145@Article{AL82, 146 author = "D. Alvis and G. Lusztig", 147 title = "The representations and generic degrees of the {Hecke} 148 algebra of type {$H_4$}", 149 journal = "J. reine angew. Math.", 150 year = 1982, 151 volume = 336, 152 pages = "201--212", 153 note = "Correction\:\ ibid. {\bf 449}, 217--218 (1994)" 154} 155 156@Article{Alv87, 157 author = "Alvis, D.", 158 title = "The left cells of the {Coxeter} group of type {$H_4$}", 159 journal = JALGE, 160 year = 1987, 161 volume = 107, 162 pages = "160--168" 163} 164 165@inproceedings{AMW82, 166author = "D[avid] G. Arrell and 167 S[anjiv] Manrai and 168 M[ichael] F. Worboys", 169title = "A procedure for obtaining simplified defining 170 relations for a subgroup", 171crossref = "GrpsStAndrews81", 172pages = "155--159", 173keywords = "finitely presented groups; 174 subgroup presentation, simplification; 175 modified Todd Coxeter (mtc), tree decoding; 176 algorithm description", 177reviews = "MR 84a:20041 (from the introduction), 178 Zbl 488.20003 (J. Neub{\accent127u}ser)", 179} 180 181@inproceedings{AR84, 182author = "D[avid] G. Arrell and 183 E[dmund] F. Robertson", 184title = "A modified {T}odd-{C}oxeter algorithm", 185crossref = "Durham1982", 186booktitle = "Computational Group Theory, 187 Proceedings LMS Symposium on Computational Group Theory, 188 Durham 1982", 189pages = "27--32", 190keywords = "finitely presented groups; 191 subgroup presentation, simplification; 192 modified Todd Coxeter (mtc), tree decoding; 193 algorithm description", 194reviews = "MR 86g:20042 (J.~D. Macdonald), 195 Zbl 556.20001 (J. Neub{\accent127u}ser)", 196} 197 198@book{Art68, 199author = "E[mil] Artin", 200title = "Galoissche Theorie", 201year = "1968", 202publisher = HDeutsch, 203} 204 205@phdthesis{Bau91, 206author = "Ulrich Baum", 207title = "Existenz und effiziente {K}onstruktion schneller 208 {F}ouriertransformationen 209 {\accent127u}beraufl{\accent127o}sbarer {G}ruppen", 210type = "Dissertation", 211year = "1991", 212school = UBonn, 213address = UBonn-A, 214} 215 216@article{BC94, 217author = "Ulrich Baum and 218 Michael Clausen", 219title = "Computing irreducible representations 220 of supersolvable groups", 221journal = MATHC2, 222volume = "207", 223pages = "351--359", 224year = "1994", 225} 226 227@inproceedings{BCFS91, 228author = "L[\'aszl\'o] Babai and 229 G[ene] Cooperman and 230 L[arry] Finkelstein and 231 \'A[kos] Seress", 232title = "Nearly Linear Time Algorithms for Permutation Groups with 233 a Small Base", 234pages = "200--209", 235crossref = "ISSAC91", 236} 237 238@article{BC76, 239author = "M[ichael] J. Beetham and 240 C[olin] M. Campbell", 241title = "A note on the {T}odd-{C}oxeter coset enumeration 242 algorithm", 243journal = PROEM, 244volume = "20", 245pages = "73--79", 246year = "1976", 247keywords = "finitely presented groups; 248 subgroup presentation; 249 modified Todd Coxeter (mtc); 250 algorithm description", 251reviews = "MR 53 # 3116 (D.~L. Johnson), 252 Zbl 328.20032 (Summary)" 253} 254 255@Article{Ben76, 256 author = "M. Benard", 257 title = "{S}chur indices and splitting fields of the unitary 258 reflection groups", 259 journal= JALGE, 260 year= 1976, 261 volume= 38, 262 pages= "318--342" 263} 264 265@Article{BC72, 266 author = "C. T. Benson and C. W. Curtis", 267 title = "On the degrees and rationality of certain characters of 268 finite {Chevalley} groups", 269 journal = TRAAM, 270 year = 1972, 271 volume = 165, 272 pages = "251--273" 273} 274 275@article{Ber76, 276author = "T. R. Berger", 277title = "Characters and Derived Length in Groups of Odd Order", 278journal = JALGE, 279volume = "39", 280pages = "199--207", 281year = "1976", 282} 283 284@mastersthesis{Besche92, 285author = "Hans Ulrich Besche", 286title = "Die {B}erechnung von {C}haraktergraden und {C}harakteren 287 endlicher aufl{\accent127 o}sbarer {G}ruppen 288 im {C}omputeralgebrasystem {GAP}", 289type = "Diplomarbeit", 290year = "1992", 291school = RWTHLDfM, 292address = RWTH-A, 293} 294 295@article{BescheEick98, 296author = "Hans Ulrich Besche and Bettina Eick", 297title = "Construction of finite groups", 298journal = JSYMC, 299 pages = "387--404", 300 volume = 27, 301 number = 4, 302 year = "1999"} 303 304@article{BescheEick1000, 305author = "Hans Ulrich Besche and Bettina Eick", 306title = "The groups of order at most 1000 except 512 and 768", 307journal = JSYMC, 308 pages = "405--413", 309 volume = 27, 310 number = 4, 311 year = "1999"} 312 313@article{BescheEick768, 314author = "Hans Ulrich Besche and Bettina Eick", 315title = "The groups of order $q^n \cdot p$", 316journal = "Comm. Alg.", 317volume = 29, 318number = 4, 319year = "2001", 320pages = "1759--1772"} 321 322@article{BEO00, 323 author = {Hans Ulrich Besche and Bettina Eick and E. A. O'Brien}, 324 title = {The groups of order at most 2000}, 325 journal = {Electronic Research Announcements of the AMS}, 326 volume = 7, 327 pages = {1 -- 4}, 328 year = 2001 } 329 330@article{BEO01, 331 author = {Hans Ulrich Besche and Bettina Eick and E. A. O'Brien}, 332 title = {A millenium project: constructing small groups}, 333 journal = {IJAC}, 334 volume = {12}, 335 pages = {623 -- 644}, 336 year = 2002} 337 338 339@article {BFS79, 340 author = {Beyl, F. Rudolf and Felgner, Ulrich and Schmid, Peter}, 341 title = {On groups occurring as center factor groups}, 342 journal = {J. Algebra}, 343 volume = {61}, 344 year = {1979}, 345 number = {1}, 346 pages = {161--177}, 347} 348 349@article{EOB99, 350 author = {Bettina Eick and E. A. O'Brien}, 351 title = {Enumerating $p$-groups}, 352 journal = {J. Austral. Math. Soc.}, 353 volume = 67, 354 pages = {191 -- 205}, 355 year = 1999 } 356 357@inproceedings{EOB98, 358 author = {Bettina Eick and E. A. O'Brien}, 359 title = {The groups of order 512}, 360 editor = {Greuel, Hiss, Matzat}, 361 booktitle = {Proceedings of `Abschlusstagung des DFG Schwerpunktes 362 Algorithmische Algebra und Zahlentheorie in Heidelberg}, 363 publisher = {Springer}, 364 year = 1998} 365 366@article{NOV04, 367 author = {M.F. Newman and E.A. O'Brien and M.R. Vaughan-Lee}, 368 title = {Groups and nilpotent Lie rings whose order is the sixth of 369 a prime}, 370 journal = {J. Alg.}, 371 volume = {278}, 372 pages = {383 -- 401}, 373 year = 2003} 374 375@article{OV05, 376 AUTHOR = {O'Brien, E. A. and Vaughan-Lee, M. R.}, 377 TITLE = {The groups with order {$p\sp 7$} for odd prime {$p$}}, 378 JOURNAL = {J. Algebra}, 379 FJOURNAL = {Journal of Algebra}, 380 VOLUME = {292}, 381 YEAR = {2005}, 382 NUMBER = {1}, 383 PAGES = {243--258}, 384 ISSN = {0021-8693}, 385 CODEN = {JALGA4}, 386 MRCLASS = {20D15 (17B30)}, 387 MRNUMBER = {MR2166803 (2006d:20038)}} 388 389@misc{Gir03, 390 author = {Boris Girnat}, 391 title = {{Klassifikation der Gruppen bis zur Ordnung $p^5$}}, 392 year = 2003, 393 howpublished = {{Staatsexamensarbeit, TU Braunschweig}}} 394 395@article{DEi05, 396 author = {Heiko Dietrich and Bettina Eick}, 397 title = {Groups of cube-free order}, 398 journal = {Accepted by J. Alg.}, 399 year = {2005} } 400 401@mastersthesis{Bis89, 402author = "Thomas Bischops", 403title = "Collectoren im {P}rogrammsystem {GAP}", 404type = "Diplomarbeit", 405year = "1989", 406school = RWTHLDfM, 407address = RWTH-A, 408} 409 410@techreport{BC92, 411author = "Wieb Bosma and 412 John [J.] Cannon", 413title = "Handbook of {Cayley} Functions", 414year = "1992", 415institution = USydDPM, 416address = USydney-A, 417keywords = "system design; 418 Cayley;; 419 manual", 420notes = "PAGES: 282", 421} 422 423@Book{Bou68, 424 author = "Bourbaki, N.", 425 title = "Groupes et alg{\accent18e}bres de {L}ie, {C}h.~4--6", 426 publisher = "Hermann, Paris", 427 year = 1968, 428 note = "Masson, Paris\:\ 1981" 429} 430 431@article{BC89, 432author = "Richard P. Brent and 433 Graeme L. Cohen", 434title = "A New Lower Bound for Odd Perfect Numbers", 435journal = MATHC3, 436volume = "53", 437pages = "431--437", 438year = "1989", 439} 440 441@mastersthesis{Bre91, 442author = "Thomas Breuer", 443title = "Potenzabbildungen, {U}ntergruppenfusionen, 444 {T}afel-{A}utomorphismen", 445type = "Diplomarbeit", 446year = "1991", 447school = RWTHLDfM, 448address = RWTH-A, 449} 450 451@article{BL96, 452author = "Thomas Breuer and 453 Klaus Lux", 454title = "The multiplicity-free permutation characters 455 of the sporadic simple groups 456 and their automorphism groups", 457journal = "Comm. Alg.", 458volume = "24", 459number = "7", 460year = "1996", 461pages = "2293--2316", 462} 463 464@article{Bre97, 465author = "Thomas Breuer", 466title = "Integral Bases for Subfields of Cyclotomic Fields", 467journal = "AAECC", 468volume = "8", 469year = "1997", 470pages = "279--289", 471} 472 473@article{BP98, 474author = "Thomas Breuer and 475 G{\accent127o}tz Pfeiffer", 476title = "Finding {P}ossible {P}ermutation {C}haracters", 477journal = JSYMC, 478volume = "26", 479year = "1998", 480pages = "343--354", 481} 482 483@inproceedings{BreuerLinton98, 484author = "Thomas Breuer and Steve Linton", 485title = "The {GAP~4} Type System. Organizing Algebraic Algorithms", 486crossref = "ISSAC98", 487pages = "38--45" 488} 489 490@article{Bre99, 491author = "Thomas Breuer", 492title = "{C}omputing {P}ossible {C}lass {F}usions from {C}haracter 493 {T}ables", 494journal = COMMA2, 495volume = "27", 496number = "6", 497year = "1999", 498pages = "2733--2748", 499} 500 501@inbook{BN95, 502author = "Thomas Breuer and Simon P.~Norton", 503title = "Improvements to the {A}tlas", 504crossref = "JLPW95", 505pages = "297--327", 506} 507 508@Article{Bri71, 509 author = "Brieskorn, E.", 510 title = "Die {Fundamentalgruppe} des {Raumes} der 511 regul{\accent127a}ren {Orbits} einer endlichen komplexen 512 {Spiegelungsgruppe}", 513 journal = INVEM, 514 year = 1971, 515 volume = 12, 516 pages = "57--61" 517} 518 519@Article{BS72, 520 author = "E. Brieskorn and K. Saito", 521 title = "{A}rtin-{G}ruppen und {C}oxeter-{G}ruppen", 522 journal = INVEM, 523 year = 1972, 524 volume = 17, 525 pages = "245--271" 526} 527 528@InCollection{BM93, 529 author = "M. Brou{\accent19e} and G. Malle", 530 title = "Zyklotomische {H}eckealgebren", 531 crossref = "Asterisque212", 532 pages = "119--189" 533} 534 535@InCollection{BMM93, 536 author = "M. Brou{\accent19e} and G. Malle and J. Michel", 537 title = "Generic blocks of finite reductive groups", 538 crossref = "Asterisque212", 539 pages = "7--92" 540} 541 542@BOOK{Asterisque212, 543 author = "M. Brou{\accent19e} and G. Malle and J. Michel", 544 title = "Repr{\accent19e}sentations 545 unipotentes g{\accent19e}n{\accent19e}riques 546 et blocs des groupes r{\accent19e}ductifs finis", 547 booktitle = "Repr{\accent19e}sentations 548 unipotentes g{\accent19e}n{\accent19e}riques 549 et blocs des groupes r{\accent19e}ductifs fini", 550 publisher = "Soci{\accent19e}t{\accent19e} {M}ath{\accent19e}matique 551 de {F}rance", 552 series = "Ast{\accent19e}risque", 553 volume = 212, 554 year = 1993 555} 556 557@book{Baker84, 558 author = "Baker, Alan", 559 title = "A concise introduction to the theory of numbers", 560 year = 1984, 561 publisher = CamUPress, 562 pages = "27-33" 563} 564 565@book{BCN89, 566author = "A.E. Brouwer and 567 A.M. Cohen and 568 A. Neumaier", 569title = "Distance-Regular Graphs", 570year = "1989", 571publisher = Springer, 572} 573 574@book{BBNWZ78, 575author = "Harold Brown and 576 Rolf B{\accent127u}low and 577 Joachim Neub{\accent127u}ser and 578 Hans Wondratschek and 579 Hans Zassenhaus", 580title = "Crystallographic Groups of Four-Dimensional Space", 581year = "1978", 582publisher = Wiley, 583} 584 585@article{BCMa, 586 Author = "G. Baumslag and F.B. Cannonito and C.F. {Miller III}", 587 Title = "Some Recognizable Properties of Solvable Groups", 588 Journal = "Math. Z.", 589 Year = {1981}, 590 Volume = {178}, 591 Pages = {289--295} 592} 593 594@article{BCMb, 595 Author = "G. Baumslag and F.B. Cannonito and C.F. {Miller III}", 596 Title = "Computable Algebra and Group Embeddings", 597 Journal = "J. Algebra", 598 Year = {1981}, 599 Volume = {69}, 600 Pages = {186--212} 601} 602 603@book{Bourbaki70, 604 author = "N. Bourbaki", 605 title = "{\'El\'ements de Math\'ematique, Alg\`ebre I}", 606 publisher = "Hermann, Paris", 607 year = 1970, 608 volume = 1 609} 610 611@article {BJR87, 612 author = {Brown, R. and Johnson, D. L. and Robertson, E. F.}, 613 title = {Some computations of nonabelian tensor products of groups}, 614 journal = {J. Algebra}, 615 volume = {111}, 616 year = {1987}, 617 number = {1}, 618 pages = {177--202}, 619} 620 621 622@article{BuekenhoutLeemans96, 623 author = {Buekenhout, Francis and Leemans, Dimitri}, 624 title = {On the list of finite primitive permutation groups of degree 625 $\leq50$}, 626 journal = JSYMC, 627 volume = {22}, 628 year = {1996}, 629 number = {2}, 630 pages = {215--225} 631} 632 633@article{BM83, 634author = "Gregory Butler and 635 John McKay", 636title = "The transitive groups of degree up to 11", 637journal = COMMA2, 638volume = "11", 639year = "1983", 640pages = "863--911", 641} 642 643@article{Butler93, 644author = "Gregory Butler", 645title = "The transitive groups of degree fourteen and fifteen", 646journal = JSYMC, 647volumn = "16", 648year = "1993", 649pages = "413--422" 650} 651 652@phdthesis{Bra89, 653author = "R. J. Bradford", 654title = "On the computation of integral bases and defects of 655 integrity", 656school = UBathSMS, 657year = "1989", 658} 659 660@article{BTW93, 661author = "Bernhard Beauzamy and 662 Vilmar Trevisan and 663 Paul~S.~Wang", 664title = "Polynomial Factorization: 665 Sharp Bounds, {E}fficient Algorithms", 666journal = JSYMC, 667volume = "15", 668year = "1993", 669pages = "393--413", 670} 671 672@book{Bur55, 673author = "W[illiam~S.] Burnside", 674title = "Theory of Groups of Finite Order", 675note = "Unabridged republication of the second edition, 676 published in 1911", 677year = "1955", 678publisher = Dover, 679notes = "PAGES: xxiv + 512", 680} 681 682@article{But82, 683author = "Gregory Butler", 684title = "Computing in Permutation and Matrix Groups {II}: 685 Backtrack Algorithm", 686journal = MATHC3, 687volume = "39", 688pages = "671--680", 689year = "1982", 690keywords = "permutation groups, matrix groups;; 691 backtrack through stabilizer chain", 692reviews = "MR 83k:20004b (J.~D. Dixon), 693 Zbl 552.20003 (see Zbl 552.20004 for a review of this article)", 694} 695 696@article{But85a, 697author = "Gregory Butler", 698title = "Effective Computation with Group Homomorphisms", 699journal = JSYMC, 700volume = "1", 701pages = "143--157", 702year = "1985", 703keywords = "permutation groups; 704 homomorphisms", 705reviews = "MR 87b:68057 (Summary), 706 Zbl 572.20001 (J. Neub{\accent127u}ser)", 707notes = "TR 184 BDCS (1982), 41 pages", 708} 709 710@mastersthesis{Cam71, 711author = "Harvey A. Campbell", 712title = "An extension of coset enumeration", 713type = "M. {S}c. thesis", 714year = "1971", 715school = McGillU, 716address = McGillU-A, 717keywords = "finitely presented groups; 718 subgroup presentation; 719 modified Todd Coxeter (mtc); 720 program description", 721} 722 723@article{Can73, 724author = "John J. Cannon", 725title = "Construction of defining relators for finite groups", 726journal = "Discrete Math.", 727volumn = "5", 728year = "1973", 729pages = "105--129", 730} 731 732@Article{Car72, 733 author = "R. W. Carter", 734 title = "Conjugacy classes in the {Weyl} group", 735 journal = "Compositio Math.", 736 year = 1972, 737 volume = 25, 738 pages = "1--59" 739} 740 741@Book{Car85, 742 author = "R. W. Carter", 743 title = "Finite groups of {Lie} type: {Conjugacy} classes and 744 complex characters", 745 publisher = "Wiley, New York", 746 year = 1985 747} 748 749@Article{Car86, 750 author = "R. W. Carter", 751 title = "Representation Theory of the 0--{H}ecke Algebra", 752 journal = JALGE, 753 year = 1986, 754 volume = 104, 755 pages = "89--103" 756} 757 758@Book{Car72a, 759 author = "R. W. Carter", 760 title = "Simple groups of Lie type", 761 publisher = "John Wiley and Sons", 762 series = "Pure and Applied Mathematics", 763 volume = 28, 764 year = 1972, 765} 766 767@mastersthesis{Cel92, 768author = "Frank Celler", 769title = "Kohomologie und {N}ormalisatoren in {GAP}", 770type = "Diplomarbeit", 771year = "1992", 772school = RWTHLDfM, 773address = RWTH-A, 774} 775 776@article{CNW90, 777author = "Frank Celler and 778 Joachim Neub{\accent127u}ser and 779 Charles~R.~B. Wright", 780title = "Some remarks on the computation of complements and 781 normalizers in soluble groups", 782journal = "Acta Applicandae Mathematicae", 783volume = "21", 784pages = "57--76", 785year = "1990", 786} 787 788@Article{Cha92, 789 author = "Charney, R.", 790 title = "Artin groups of finite type are bi-automatic", 791 journal = MATHA, 792 year = 1992, 793 volume = 292, 794 pages = "671--683" 795} 796 797@article{Cla97, 798author = "Michael Clausen", 799title = "A Direct Proof of {M}inkwitz's Extension Theorem", 800journal = "AAECC", 801year = "1997", 802volume = "8", 803pages = "305--306" 804} 805 806@book{Coh93, 807author = "Henri Cohen", 808title = "A Course in Computational Algebraic Number Theory", 809series = "Graduate Texts in Mathematics", 810volume = "138", 811year = "1993", 812publisher = Springer, 813} 814 815@article{Con90a, 816author = "S[am] B. Conlon", 817title = "Calculating Characters of $p$-groups", 818journal = JSYMC, 819volume = "9", 820number = "5 \& 6", 821pages = "535--550", 822year = "1990", 823} 824 825@article{Con90b, 826author = "S[am] B. Conlon", 827title = "Computing Modular and Projective Character Degrees 828 of Soluble Groups", 829journal = JSYMC, 830volume = "9", 831number = "5 \& 6", 832pages = "551--570", 833year = "1990", 834} 835 836@book{CCN85, 837author = "J[ohn] H. Conway and 838 R[obert] T. Curtis and 839 S[imon] P. Norton and 840 R[ichard] A. Parker and 841 R[obert] A. Wilson", 842title = "Atlas of finite groups", 843year = "1985", 844publisher = OxUnPress, 845} 846 847@article{ConwayHulpkeMcKay98, 848 author = "John~H. Conway and Alexander Hulpke and John McKay", 849 title = "On transitive permutation groups", 850 journal = "LMS J. Comput. Math.", 851 volume = 1, 852 pages = "1--8", 853 year = "1998"} 854 855@article{CF94, 856 AUTHOR = {Cooperman, Gene and Finkelstein, Larry}, 857 TITLE = {A random base change algorithm for permutation groups}, 858 JOURNAL = {J. Symbolic Comput.}, 859 FJOURNAL = {Journal of Symbolic Computation}, 860 VOLUME = {17}, 861 YEAR = {1994}, 862 NUMBER = {6}, 863 PAGES = {513--528}, 864 ISSN = {0747-7171}, 865 MRCLASS = {68Q40 (20B07)}, 866 MRNUMBER = {96a:68048}, 867} 868 869@Book{coxlittleoshea, 870 AUTHOR = {Cox, David and Little, John and O'Shea, Donal}, 871 TITLE = {Ideals, varieties, and algorithms}, 872 SERIES = {Undergraduate Texts in Mathematics}, 873 EDITION = {Second}, 874 NOTE = {An introduction to computational algebraic geometry and 875 commutative algebra}, 876 PUBLISHER = {Springer-Verlag}, 877 ADDRESS = {New York}, 878 YEAR = {1997} 879} 880 881@Book{CR87, 882 author = "C. W. Curtis and I. Reiner", 883 title = "Methods of representation theory, vol. {I}, {II}", 884 publisher = Wiley, 885 year = "1981/1987" 886} 887 888@Article{Del72, 889 author = "Deligne, P.", 890 title = "Les immeubles des groupes de tresses 891 g{\accent19e}n{\accent19e}ralis{\accent19e}s", 892 journal = INVEM, 893 year = 1972, 894 volume = 17, 895 pages = "273--302" 896} 897 898@Article{Deo89, 899 author = "Deodhar, V.V.", 900 title = "A note on subgroups generated by reflections in 901 {C}oxeter groups", 902 journal = ARCMB1, 903 year = 1989, 904 volume = 53, 905 pages = "543--546" 906} 907 908@article{Dix67, 909author = "J[ohn] D. Dixon", 910title = "High Speed Computations of Group Characters", 911journal = NUMEM, 912volume = "10", 913pages = "446--450", 914year = "1967", 915} 916 917@article{DixonMortimer88, 918 author = "John~D. Dixon and Brian Mortimer", 919 title = "The primitive permutation groups of degree less than 1000", 920 journal = MATPC, 921 volume = 103, 922 pages = "213--238", 923 year = 1988} 924 925@incollection{Dix93, 926 author = "Dixon, John D.", 927 title = "Constructing representations of finite groups", 928 crossref = "DIMACS", 929 pages = "105--112"} 930 931@article{Dre69, 932author = "Andreas [W.~M.] Dress", 933title = "A Characterization of Solvable Groups", 934journal = MATHZ, 935volume = "110", 936pages = "213--217", 937year = "1969", 938} 939 940@Manual{DuC91, 941 title = "Coxeter Version 1.0", 942 author = "DuCloux, F.", 943 organization = "Universit{\accent19e} de Lyon", 944 address = "France", 945 year = 1991 946} 947 948@Article{Dye90, 949 author = "Dyer, M.", 950 title = "Reflection subgroups of {C}oxeter systems", 951 journal = JALGE, 952 year = "1990", 953 volume = 135, 954 pages = "57--73", 955} 956 957@Article{EHR91, 958 author = "D.F.~Holt and D.B.A.~Epstein and S.~Rees", 959 title = "The use of {Knuth-Bendix} methods to solve the word 960 problem in automatic groups", 961 journal = JSYMC, 962 year = 1991, 963 volume = 12, 964 pages = "397--414" 965} 966 967@incollection {Eick97, 968 author = {Eick, Bettina}, 969 title = {Special presentations for finite soluble groups and computing 970 (pre-){F}rattini subgroups}, 971crossref = "DIMACS2", 972 pages = {101--112}, 973} 974 975@Article{EGN97, 976 author = "Bettina Eick and Franz G{\accent127a}hler and Werner Nickel", 977 title = "{C}omputing {M}aximal {S}ubgroups and {W}yckoff 978 {P}ositions of {S}pace {G}roups", 979 journal = "Acta Cryst A", 980 year = 1997 981} 982 983@misc{EickHoefling02, 984 author = "Bettina Eich and Burkhard H{\"o}fling", 985 title = "The solvable primitive permutation groups of degree at most 6560", 986 howpublished = "submitted", 987 year = 2002 988} 989 990@inproceedings{EickHulpke01, 991 author = "Bettina Eick and Alexander Hulpke", 992 title = "Computing the maximal subgroups of a permutation 993 group {I}", 994 crossref = "DIMACS3", 995 pages = "155-168" 996} 997 998@article {Ellis98, 999 author = {Ellis, Graham}, 1000 title = {On the capability of groups}, 1001 journal = {Proc. Edinburgh Math. Soc. (2)}, 1002 volume = {41}, 1003 year = {1998}, 1004 number = {3}, 1005 pages = {487--495}, 1006} 1007 1008@Book{ECHLPT92, 1009 author = "D.B.A.~Epstein and J.W.~Cannon and D.F.~Holt and 1010 S.~Levy and M.S.~Paterson and W.P.~Thurston", 1011 title = "Word Processing and Group Theory", 1012 publisher = "Jones and Bartlett", 1013 year = 1992 1014} 1015 1016 1017@inproceedings{FJNT95, 1018author = "V[olkmar] Felsch and 1019 D[avid] L. Johnson and 1020 J[oachim] Neub{\accent127u}ser and 1021 S[ergey] V. Tsaranov", 1022title = "The Structure of Certain {C}oxeter Groups", 1023crossref = "Groups93Vol1", 1024pages = "177--190", 1025} 1026 1027@inproceedings{FS84, 1028author = "Volkmar Felsch and 1029 G{\accent127u}nter Sandl{\accent127o}bes", 1030title = "An Interactive Program for Computing Subgroups", 1031crossref = "Durham1982", 1032pages = "137--143", 1033keywords = "groups; 1034 subgroup lattice, table of marks; 1035 cyclic extensions; 1036 program description", 1037reviews = "MR 85k:20003 (from the introduction), 1038 Zbl 547.20016 (E. Kommissartschik)", 1039} 1040 1041@inproceedings{FelschNeubueser79, 1042 author = "Volkmar Felsch and Joachim Neub{\accent127u}ser", 1043 title = "An Algorithm for the Computation of Conjugacy Classes 1044 and Centralizers in $p$-Groups", 1045 crossref = "EUROSAM79", 1046 pages = "452--465"} 1047 1048@article{Fon62, 1049author = "Paul Fong", 1050title = "Solvable groups and modular representation theory", 1051journal = TRAAM, 1052volume = "103", 1053year = "1962", 1054pages = "484--494", 1055} 1056 1057@article{Fra82, 1058author = "J[ames] S. Frame", 1059title = "Recursive computation of tensor power components", 1060journal = BayreuMS, 1061volume = "10", 1062pages = "153--159", 1063year = "1982", 1064publisher = UBayreu, 1065address = UBayreu-A, 1066} 1067 1068@manual{GAP4, 1069 key = "GAP", 1070 organization = "The GAP~Group", 1071 title = "{GAP -- Groups, Algorithms, and Programming, Version 4.4}", 1072 year = 2004, 1073 howpublished = {\href{http://www.gap-system.org}{http://www.gap-system.org}}, 1074 keywords = "groups; *; gap; manual", 1075} 1076 1077@Article{Gar69, 1078 author = "Garside, F. A.", 1079 title = "The braid groups and other groups", 1080 journal = "Quart. J. Math. Oxford, 2$^{nd}$ Ser", 1081 year = 1969, 1082 volume = 20, 1083 pages = "235--254" 1084} 1085 1086@Article{Gec94, 1087 author = "Geck, M.", 1088 title = "On the character values of {I}wahori-{H}ecke algebras 1089of exceptional type", 1090 journal = "Proc.\ London Math. Soc.", 1091 year = 1994, 1092 volume = 68, 1093 pages = "51--76" 1094} 1095 1096@Book{Gec95, 1097 author = "M. Geck", 1098 title = "Beitr{\accent127a}ge zur {D}arstellungstheorie von 1099 {I}wahori-{H}ecke {A}lgebren", 1100 publisher = "Verlag der Augustinus Buchhandlung, Aachen", 1101 year = 1995, 1102 volume = 11, 1103 series = "Aachener {B}eitr{\accent127a}ge zur Mathematik" 1104} 1105 1106@Article{GK96, 1107 AUTHOR = {Geck, Meinolf and Kim, Sungsoon}, 1108 TITLE = {Bases for the {B}ruhat-{C}hevalley order on all finite 1109 {C}oxeter groups}, 1110 JOURNAL = {J. Algebra}, 1111 FJOURNAL = {Journal of Algebra}, 1112 VOLUME = {197}, 1113 YEAR = {1997}, 1114 NUMBER = {1}, 1115 PAGES = {278--310}, 1116} 1117 1118@Article{GM97, 1119 AUTHOR = {Geck, Meinolf and Michel, Jean}, 1120 TITLE = {``{G}ood'' elements of finite {C}oxeter groups and 1121 representations of {I}wahori-{H}ecke algebras}, 1122 JOURNAL = {Proc. London Math. Soc. (3)}, 1123 VOLUME = {74}, 1124 YEAR = {1997}, 1125 NUMBER = {2}, 1126 PAGES = {275--305}, 1127} 1128 1129@Article{GP93, 1130 author = "M. Geck and G. Pfeiffer", 1131 title = "On the irreducible characters of {H}ecke algebras", 1132 journal = "Advances in Math.", 1133 year = 1993, 1134 volume = 102, 1135 pages = "79--94" 1136} 1137 1138@Article{Chv96, 1139 author = "M. Geck and G. Hiss and F. L{\accent127u}beck and 1140 G. Malle and G. Pfeiffer", 1141 title = "{\sf CHEVIE}--A system for computing and processing generic 1142 character tables for finite groups of Lie type", 1143 journal = "AAECC", 1144 year = 1996, 1145 volume = 7, 1146 pages = "175--210" 1147} 1148 1149@phdthesis{Gla87, 1150author = "S[tephan]~P. Glasby", 1151title = "Computational Approaches to the Theory of Finite Soluble 1152 Groups", 1153type = "Phd thesis", 1154year = "1987", 1155school = USydDPM, 1156address = USydney-A, 1157} 1158 1159@article{GS90, 1160author = "S[tephan]~P. Glasby and 1161 M[ichael]~C. Slattery", 1162title = "Computing Intersections and Normalizers in Soluble Groups", 1163journal = JSYMC, 1164volume = "9", 1165pages = "637--651", 1166year = "1990", 1167} 1168 1169@book{GKP90, 1170author = "Ronald~L. Graham and 1171 Donald~E. Knuth and 1172 Oren Patashnik", 1173title = "Concrete Mathematics", 1174year = "1990", 1175publisher = AddWes, 1176} 1177 1178@Article{HalvRam94, 1179 AUTHOR = {Halverson, Tom and Ram, Arun}, 1180 TITLE = {Murnaghan-{N}akayama rules for characters of {I}wahori-{H}ecke 1181 algebras of classical type}, 1182 JOURNAL = {Trans. Amer. Math. Soc.}, 1183 FJOURNAL = {Transactions of the American Mathematical Society}, 1184 VOLUME = {348}, 1185 YEAR = {1996}, 1186 NUMBER = {10}, 1187 PAGES = {3967--3995}, 1188} 1189 1190@book{Hah83, 1191editor = "Theo Hahn", 1192title = "International Tables for Crystallography, Volume {A}, 1193 {S}pace-group Symmetry", 1194year = "1983", 1195publisher = Reidel, 1196} 1197 1198@Book{Hah95, 1199 author = "Theo Hahn, editor", 1200 title = "International Tables for Crystallography, Volume {A}, 1201 {S}pace-group Symmetry", 1202 publisher = "Kluwer, Dordrecht", 1203 year = 1995, 1204 edition = "4th" 1205} 1206 1207@book{Hall, 1208 author = "Hall, Jr, Marshall", 1209 title = "The theory of Groups", 1210 publisher = "Macmillan", 1211 year = 1959} 1212 1213@book{HS64, 1214author = "Hall, Jr., Marshall and 1215 James~K. Senior", 1216title = "The Groups of Order $2^n$ ($n \le 6$)", 1217year = "1964", 1218publisher = Macmillan, 1219} 1220 1221@phdthesis{Han88, 1222author = "W[ilhelm] Hanrath", 1223title = "{Irreduzible Darstellungen von Raumgruppen}", 1224type = "Dissertation", 1225year = "1988", 1226school = RWTH, 1227address = RWTH-A, 1228} 1229 1230@techreport{Hav69, 1231author = "George Havas", 1232title = "Symbolic and Algebraic Calculation", 1233type = "Basser Computing Dept., Technical Report", 1234number = "89", 1235year = "1969", 1236institution = USydBDCS, 1237address = USydney-A, 1238keywords = "finitely presented groups; 1239 simplification; 1240 Tietze transformations", 1241} 1242 1243@inproceedings{Hav74b, 1244author = "George Havas", 1245title = "A {R}eidemeister-{S}chreier Program", 1246crossref = "Canberra73", 1247pages = "347--356", 1248keywords = "finitely presented groups; 1249 subgroup presentation; 1250 Reidemeister Schreier (rs); 1251 program description", 1252reviews = "MR 51 # 13002 (F. Levin), 1253 Zbl 288.20047 (Summary)", 1254} 1255 1256@inproceedings{Hav91, 1257author = "George Havas", 1258title = "Coset enumeration strategies", 1259pages = "191--199", 1260crossref = "ISSAC91", 1261} 1262 1263@Article{HM97, 1264 author = "George Havas and Bohdan Majewski", 1265 title = "Integer Matrix Diagonalization", 1266 journal = JSYMC, 1267 year = "1997", 1268 volume = 24, 1269 number = "3/4", 1270 pages = "399--408", 1271 month = "September" 1272} 1273 1274@article{HN80, 1275author = "George Havas and 1276 M[ichael]~F. Newman", 1277title = "Application of Computers to Questions like those of 1278 {Burnside}", 1279crossref = "Bielefeld77", 1280booktitle = "Burnside groups, Proceedings of a workshop, 1281 Bielefeld, Germany, 1977", 1282pages = "211--230", 1283keywords = "finitely presentend groups; 1284 Burnside groups; 1285 nilpotent quotient", 1286reviews = "MR 82d:20002 (Colin M. Campbell), 1287 Zbl 432.20033 (J. Neub{\accent127u}ser)", 1288} 1289 1290@inproceedings{HKRR84, 1291author = "George Havas and 1292 P[eter]~E. Kenne and 1293 J[ames]~S. Richardson and 1294 E[dmund]~F. Robertson", 1295title = "A {T}ietze Transformation Program", 1296crossref = "Durham1982", 1297pages = "67--71", 1298keywords = "finitely presented groups; 1299 simplification; 1300 Tietze transformations", 1301reviews = "MR 86b:20039 (introduction), 1302 Zbl 569.20002 (G. Butler)", 1303} 1304 1305@article{HIO89, 1306author = "Trevor [O.] Hawkes and 1307 I. M[artin] Isaacs and 1308 M. {\accent127O}zaydin", 1309title = "On the {M\accent127o}bius Function of a Finite Group", 1310journal = "Rocky Mountain J. Math.", 1311volume = "19", 1312pages = "1003--1034", 1313year = "1989", 1314} 1315 1316@misc{HJLP92, 1317author = "Gerhard Hiss and 1318 Christoph Jansen and 1319 Klaus Lux and 1320 Richard [A.] Parker", 1321title = "Computational Modular Character Theory", 1322howpublished = {\href{http://www.math.rwth-aachen.de/LDFM/homes/MOC/CoMoChaT/}{http://www.math.rwth-aachen.de/LDFM/homes/MOC/CoMoChaT/}}, 1323} 1324 1325@inproceedings{Holt94, 1326 author = "Derek~F.~Holt", 1327 title = "The {W}arwick Automatic Groups Software", 1328 crossref = DIMACS94, 1329 pages = "69--82" 1330} 1331 1332@article{HLOR96a, 1333author = "Derek [F.] Holt and 1334 Charles [R.] Leedham-Green and 1335 E[amonn]~A. O'Brien and 1336 Sarah Rees", 1337title = "Computing Matrix Group Decompositions with respect to 1338 a Normal Subgroup", 1339journal = JALGE, 1340volume = 184, 1341year = "1996", 1342pages = "818--838", 1343} 1344 1345@article{HLOR96b, 1346author = "Derek [F.] Holt and 1347 Charles [R.] Leedham-Green and 1348 E[amonn]~A. O'Brien and 1349 Sarah Rees", 1350title = "Testing Matrix Groups for Primitivity", 1351journal = JALGE, 1352volume = 184, 1353year = "1996", 1354pages = "795--817", 1355} 1356 1357@book{HP89, 1358author = "Derek F. Holt and 1359 W[ilhelm] Plesken", 1360title = "Perfect Groups", 1361series = OxfordMM, 1362year = "1989", 1363publisher = OxUnPress, 1364} 1365 1366@article{HR94, 1367author = "Derek [F.] Holt and 1368 Sarah Rees", 1369title = "Testing modules for irreducibility", 1370journal = "J. Austral. Math. Soc. Ser. A", 1371volume = "57", 1372pages = "1--16", 1373year = "1994", 1374} 1375 1376@unpublished{HR99a, 1377author = "G.~Havas and C.~Ramsay", 1378title = "Experiments in coset enumeration", 1379crossref = "DIMACS3", 1380pages = "183--192" 1381} 1382 1383@unpublished{HR99b, 1384author = "G.~Havas 1385 and C.~Ramsay", 1386title = "The trivial group made easy, 1387 a case study in coset enumeration", 1388year = "1999", 1389note = "Draft Manuscript", 1390} 1391 1392@book{Howie76, 1393 AUTHOR = {Howie, J. M.}, 1394 TITLE = {An introduction to semigroup theory}, 1395 NOTE = {L.M.S. Monographs, No. 7}, 1396 PUBLISHER = {Academic Press [Harcourt Brace Jovanovich Publishers]}, 1397 ADDRESS = {London}, 1398 YEAR = {1976}, 1399 PAGES = {x+272}, 1400 MRCLASS = {20MXX}, 1401 MRNUMBER = {57 \#6235}, 1402MRREVIEWER = {T. E. Hall}, 1403} 1404 1405@mastersthesis{Hulpke93, 1406 author = "Alexander Hulpke", 1407 title = "{Zur Berechnung von Charaktertafeln}", 1408 type = "Diplom\-ar\-beit", 1409 school = RWTHLDFM, 1410 year = 1993} 1411 1412@phdthesis{Hulpke96, 1413 author = "Alexander Hulpke", 1414 title = "Konstruktion transitiver {P}ermutationsgruppen", 1415 school = RWTH, 1416 address = RWTH-A, 1417 type = "Dissertation", 1418 publisher = "Verlag der Augustinus Buchhandlung, Aachen", 1419 year = 1996} 1420 1421@inproceedings{Hulpke98, 1422 author = "Alexander Hulpke", 1423 title = "Computing normal subgroups", 1424 crossref = "ISSAC98", 1425 pages = "194--198"} 1426 1427@article{Hulpke99, 1428 author = "Alexander Hulpke", 1429 title = "Computing Subgroups Invariant Under a Set of Automorphisms", 1430 journal = JSYMC, 1431 pages = "415--427", 1432 volume = 27, 1433 number = 4, 1434 year = "1999"} 1435 1436@article{HulpkeClasses, 1437 author = {Hulpke, Alexander}, 1438 title = {Conjugacy classes in finite permutation groups via homomorphic 1439 images}, 1440 journal = MATHC3, 1441 volume = {69}, 1442 year = {2000}, 1443 number = {232}, 1444 pages = {1633--1651} 1445} 1446 1447@article{HulpkeQuot, 1448 author = "Alexander Hulpke", 1449 title = "Representing subgroups of finitely presented groups 1450 by Quotient Subgroups", 1451 journal = "Experimental Mathematics", 1452 year = 2001, 1453 volume=10, 1454 number=3, 1455 pages="369--381" 1456} 1457 1458@article{HulpkeTG, 1459 author = "Alexander Hulpke", 1460 title = "Constructing Transitive Permutation Groups", 1461 journal = JSYMC, 1462 year = {2005}, 1463 volume = {39}, 1464 pages = "1--30" 1465} 1466 1467@book{Hum72, 1468 AUTHOR = {Humphreys, James E.}, 1469 TITLE = {Introduction to {L}ie algebras and representation theory}, 1470 NOTE = {Graduate Texts in Mathematics, Vol. 9}, 1471 PUBLISHER = {Springer-Verlag}, 1472 ADDRESS = {New York}, 1473 YEAR = {1972}, 1474} 1475 1476@book{Hum78, 1477 AUTHOR = {Humphreys, James E.}, 1478 TITLE = {Introduction to {L}ie algebras and representation theory}, 1479 NOTE = {Second printing, revised}, 1480 PUBLISHER = {Springer-Verlag}, 1481 ADDRESS = {New York}, 1482 YEAR = {1978}, 1483} 1484 1485@Book{Hum90, 1486 author = "J. E. Humphreys", 1487 title = "Reflections groups and {C}oxeter groups", 1488 publisher = CamUPress, 1489 year = 1990, 1490 volume = 29, 1491 series = "Cambridge studies in Advanced Math" 1492} 1493 1494@book{Hup67, 1495author = "B[ertram] Huppert", 1496title = "Endliche {Gruppen} {I}", 1497series = GMathWiss, 1498volume = "134", 1499year = "1967", 1500publisher = Springer 1501} 1502 1503@book{Hup82, 1504author = "B[ertram] Huppert and N[orman] Blackburn", 1505title = "Finite Groups. {II}", 1506series = GMathWiss, 1507volume = "242", 1508year = "1982", 1509publisher = Springer 1510} 1511 1512@book{Hup98, 1513author = "B[ertram] Huppert", 1514title = "Character {T}heory of {F}inite {G}roups", 1515series = "expositions in mathematics", 1516volume = "25", 1517year = "1998", 1518publisher = Gruyter, 1519note = "ISBN 3-11-015421-8", 1520} 1521 1522@book{Isa76, 1523author = "I.~M.~Isaacs", 1524title = "{C}haracter theory of finite groups", 1525series = "Pure and applied mathematics", 1526volume = "69", 1527year = "1976", 1528publisher = "Academic Press, New York", 1529note = "xii+303 pp., ISBN 0-12-374550-0", 1530} 1531 1532@article{IshibashiEarnest94, 1533 author = "Ishibashi, Hiroyuki and Earnest, A. G.", 1534 title = "Two-element generation of orthogonal groups over finite fields", 1535 journal = JALGE, 1536 volume = "165", 1537 year = "1994", 1538 number = "1", 1539 pages = "164--171" 1540} 1541 1542@book{JLPW95, 1543author = "Christoph Jansen and 1544 Klaus Lux and 1545 Richard [A.] Parker and 1546 Robert [A.] Wilson", 1547title = "An {A}tlas of {Brauer} Characters", 1548series = LMSMon, 1549volume = "11", 1550year = "1995", 1551publisher = OxUnPress, 1552notes = "PAGES: xvii + 327", 1553} 1554 1555@book{Joh97, 1556 author = "Johnson, D. L.", 1557 title = "Presentations of groups", 1558 edition = "Second", 1559 publisher = CamUPress, 1560 address = "Cambridge", 1561 year = 1997 1562} 1563 1564@mastersthesis{Kaup92, 1565author = "Ansgar Kaup", 1566title = "Gitterbasen und {C}haraktere endlicher {G}ruppen", 1567type = "Diplomarbeit", 1568year = "1992", 1569school = RWTHLDfM, 1570address = RWTH-A, 1571} 1572 1573@article{KL79, 1574author = "D. A. Kazhdan and G. Lusztig", 1575title = "Representations of {C}oxeter groups and {H}ecke algebras", 1576journal = INVEM, 1577volume = 53, 1578year = 1979, 1579pages = "165--184", 1580} 1581 1582@article{KLM01, 1583 AUTHOR = {Kemper, Gregor and L{\"u}beck, Frank and Magaard, Kay}, 1584 TITLE = {Matrix generators for the {R}ee groups ${}\sp 2{G}\sb 2(q)$}, 1585 JOURNAL = COMMA2, 1586 VOLUME = {29}, 1587 YEAR = {2001}, 1588 NUMBER = {1}, 1589 PAGES = {407--413} 1590} 1591 1592 1593@book{Ker91, 1594author = "Adalbert Kerber", 1595title = "Algebraic Combinatorics Via Finite Group Actions", 1596year = "1991", 1597publisher = BIWissV, 1598notes = "PAGES: 436", 1599} 1600 1601@book{KleidmanLiebeck90, 1602 author = "Kleidman, Peter and Liebeck, Martin", 1603 title = "The subgroup structure of the finite classical groups", 1604publisher = CamUPress, 1605 year = "1990" 1606} 1607 1608@article{Klimyk66, 1609 AUTHOR = {Klimyk, A. U.}, 1610 TITLE = {Decomposition of the direct product of irreducible 1611 representations of semisimple {L}ie algebras into irreducible 1612 representations}, 1613 JOURNAL = {Ukrain. Mat. {\v Z}.}, 1614 VOLUME = {18}, 1615 YEAR = {1966}, 1616 NUMBER = {5}, 1617 PAGES = {19--27}, 1618} 1619 1620@incollection{Klimyk68, 1621 AUTHOR = {Klimyk, A. U.}, 1622 TITLE = {Decomposition of a direct product of irreducible 1623 representations of a semisimple {L}ie algebra into irreducible 1624 representations}, 1625BOOKTITLE = {American {M}athematical {S}ociety {T}ranslations. {S}eries 2}, 1626 VOLUME = {76}, 1627PUBLISHER = {American Mathematical Society}, 1628 ADDRESS = {Providence, R.I.}, 1629 YEAR = {1968}, 1630 PAGES = {63--73} 1631} 1632 1633@book{TACP2, 1634author = "Donald~E. Knuth", 1635title = "The Art of Computer Programming, Volume 2: 1636 {S}eminumerical Algorithms", 1637edition = "third", 1638year = "1998", 1639publisher = AddWes, 1640} 1641 1642@book{Lau82, 1643author = "Reinhard Laue", 1644title = "Zur {Konstruktion} und {Klassifikation} endlicher 1645 aufl{\accent127o}sbarer {Gruppen}", 1646series = BayreuMS, 1647volume = "9", 1648year = "1982", 1649publisher = UBayreu, 1650address = UBayreu-A, 1651keywords = "polycyclic groups;;; 1652 classification", 1653reviews = "MR 84e:20018 (T.~O. Hawkes), 1654 Zbl 479.20010 (H. Heineken)", 1655notes = "PAGES: ii + 304, 1 correction sheet, 1656 Earlier version: Habilitationsschrift, RWTH Aachen, 1980", 1657} 1658 1659@inproceedings{SOGOS, 1660author = "R[einhard] Laue and 1661 J[oachim] Neub{\accent127u}ser and 1662 U[lrich] Schoenwaelder", 1663title = "Algorithms for finite soluble groups and the {SOGOS} system", 1664crossref = "Durham1982", 1665pages = "105--135", 1666keywords = "polycyclic groups;;; 1667 algorithm description", 1668reviews = "MR 86h:20023 (Gerhard Pazderski), 1669 Zbl 547:20012 (E. Kommissartschik)", 1670} 1671 1672@Book{LeC86, 1673 author = "P.~LeChenadec", 1674 title = "Canonical Forms in Finitely Presented Algebras", 1675 publisher = "London Pitman and New York, Wiley", 1676 year = 1986 1677} 1678 1679@article{LS90, 1680author = "C[harles] R. Leedham-Green and 1681 L[eonard] H. Soicher", 1682title = "Collection from the left and other strategies", 1683journal = JSYMC, 1684volume = "9", 1685number = "5 \& 6", 1686pages = "665--675", 1687year = "1990", 1688} 1689 1690@article{LLL82, 1691author = "A.~K.~Lenstra and 1692 H.~W.~Lenstra and 1693 L.~Lov{\accent19a}sz", 1694title = "Factoring Polynomials with rational coefficients", 1695journal = MATHA, 1696volume = "261", 1697pages = "513--534", 1698year = "1982", 1699} 1700 1701@article{Leo80, 1702author = "Jeffrey S. Leon", 1703title = "On an algorithm for finding a base and a strong generating 1704 set for a group given by generating permutations", 1705journal = MATHC3, 1706volume = "35", 1707pages = "941--974", 1708year = "1980", 1709keywords = "permutation groups; 1710 stabilizer chain, base and strong generating set of; 1711 Schreier Sims, Todd Coxeter (tc)", 1712reviews = "MR 82i:20004 (Colin M. Campbell), 1713 Zbl 444.20001 (J. Neub{\accent127u}ser)", 1714} 1715 1716@article{Leon91, 1717 author = "Jeffrey~S. Leon", 1718 title = "Permutation group algorithms based on partitions, {I}: 1719 theory and algorithms", 1720 journal = JSYMC, 1721 volume = 12, 1722 year = 1991, 1723 pages = "533--583"} 1724 1725@manual{Lin93, 1726author = "Steve Linton", 1727title = "Vector Enumeration Programs, 1728 version 3", 1729year = "1993", 1730} 1731 1732@PhDThesis{Lo, 1733 Author = "E. Lo", 1734 Title = "A Polycyclic Quotient Algorithm", 1735 School = "Rutgers University", 1736 Year = {1996} 1737} 1738 1739@misc{L03, 1740author = "Frank L{\accent127u}beck", 1741title = "Conway polynomials for finite fields", 1742howpublished = {\href{http://www.math.rwth-aachen.de:8001/~Frank.Luebeck/data/ConwayPol}{http://www.math.rwth-aachen.de:8001/~Frank.Luebeck/data/ConwayPol}}, 1743} 1744 1745@article{luksrakocziwright97, 1746 AUTHOR = {Luks, Eugene~M. and R{\'a}k{\'o}czi, Ferenc and Wright, Charles~R.~B.}, 1747 TITLE = {Some algorithms for nilpotent permutation groups}, 1748 JOURNAL = JSYMC, 1749 VOLUME = {23}, 1750 YEAR = {1997}, 1751 NUMBER = {4}, 1752 PAGES = {335--354}} 1753 1754@Article{Lus81, 1755 author = "G. Lusztig", 1756 title = "On a Theorem of {B}enson and {C}urtis", 1757 journal = JALGE, 1758 year = 1981, 1759 volume = 71, 1760 pages = "490--498" 1761} 1762 1763@Book{Lus85, 1764 author = "G. Lusztig", 1765 title = "Characters of reductive groups over a finite field", 1766 publisher = "Princeton {U}niversity {P}ress", 1767 year = 1985, 1768 volume = 107, 1769 series = "Annals of Math.\ Studies" 1770} 1771 1772@inproceedings{LP91, 1773author = "Klaus Lux and 1774 Herbert Pahlings", 1775title = "Computational aspects of representation theory of finite 1776 groups", 1777crossref = "MR91", 1778pages = "37--64" 1779} 1780 1781@article{Mac81, 1782 author = {I. G. Macdonald}, 1783 title = {Numbers of conjugacy classes in some finite classical groups}, 1784 journal = {Bull. Austral. Math. Soc.}, 1785 fjournal = {Bulletin of the Australian Mathematical Society}, 1786 volume = {23}, 1787 year = {1981}, 1788 number = {1}, 1789 pages = {23--48}, 1790 issn = {0004-9727}, 1791 coden = {aLNBAB}, 1792 mrclass = {20G40}, 1793 mrnumber = {82j:20092}, 1794mrreviewer = {Naohisa Shimomura}, 1795} 1796 1797@article{MV97, 1798 author = {Meena Mahajan and 1799 V. Vinay}, 1800 title = {Determinant: combinatorics, algorithms, and complexity}, 1801 journal = {Chicago J. Theoret. Comput. Sci.}, 1802 fjournal = {Chicago Journal of Theoretical Computer Science}, 1803 year = {1997}, 1804 pages = {Article 5, 26 pp. (electronic)}, 1805 issn = {1073-0486}, 1806 mrclass = {15A15 (05C50 68Q15 68Q22 68R05)}, 1807 mrnumber = {98m:15016}, 1808mrreviewer = {H.-J. Hoehnke} 1809} 1810 1811@inproceedings{Mal96, 1812 author = "G. Malle", 1813 title = "{D}egr{\accent19e}s relatifs des alg{\accent18e}bres 1814 cyclotomiques associ{\accent19e}es aux groupes de 1815 r{\accent19e}flexions complexes de dimension deux", 1816 crossref = "Luminy94" 1817} 1818 1819@article{MS85, 1820author = "John McKay and 1821 Leonard~H. Soicher", 1822title = "Computing {G}alois groups over the Rationals", 1823journal = JNUMT, 1824volume = "20", 1825year = "1985", 1826pages = "273--281", 1827} 1828 1829@article{McL77, 1830author = "D.~H.~McLain", 1831title = "An algorithm for determining defining relations of a 1832 subgroup", 1833journal = GLAMJ, 1834volume = "18", 1835pages = "51--56", 1836year = "1977", 1837keywords = "finitely presented groups; 1838 subgroup presentation; 1839 modified Todd Coxeter (mtc); 1840 algorithm description", 1841reviews = "MR 54 # 12908 (N.~S. Mendelsohn), 1842 Zbl 348.20029 (Summary)", 1843} 1844 1845@article{MeckyNeubueser89, 1846 author = "M[atthias] Mecky and J[oachim] Neub{\accent127u}ser", 1847 title = "Some remarks on the computation of conjugacy classes 1848 of soluble groups", 1849 journal = BULAM2, 1850 volume = 40, 1851 number = 2, 1852 pages = "281--292", 1853 year = 1989} 1854 1855@mastersthesis{Merkwitz98, 1856author = "Thomas Merkwitz", 1857title = "{Markentafeln endlicher Gruppen}", 1858type = "Diplomarbeit", 1859school = RWTHLDFM, 1860adress = RWTH-A, 1861year = "1998", 1862} 1863 1864@mastersthesis{Mni92, 1865author = "J{\accent127u}rgen Mnich", 1866title = "Untergruppenverb{\accent127a}nde und 1867 aufl{\accent127o}sbare {G}ruppen in {GAP}", 1868type = "Diplom\-ar\-beit", 1869year = "1992", 1870school = RWTHLDfM, 1871address = RWTH-A, 1872keywords = "groups; 1873 subgroup lattice, table of marks; 1874 cyclic extensions; 1875 algorithm description", 1876} 1877 1878@article{Mon85, 1879author = "Peter L. Montgomery", 1880title = "Modular Multiplication Without Trial Division", 1881journal = MATHC3, 1882volume = "44", 1883pages = "519--521", 1884year = "1985", 1885} 1886 1887@techreport{Mur58, 1888author = "F[rancis] D. Murnaghan", 1889title = "The Orthogonal and Symplectic Groups", 1890type = "Communications Series A", 1891number = "13", 1892year = "1958", 1893institution = DublinIAS, 1894} 1895 1896@article{MY79, 1897author = "John McKay and Kiang Chuen Young", 1898title = "The nonabelian simple groups of order less than 1000000 1899 -- minimal generating pairs.", 1900journal = "Math. Comp.", 1901volume = "33", 1902year = "1979", 1903pages = "812--814", 1904mrclass = "20D05 (20F05)", 1905mrnumber = "80d:20018", 1906mrreviewer = "W. J. Wong"} 1907 1908@manual{Nau90, 1909author = "B.D. McKay", 1910title = "{nauty} user's guide (version 1.5), 1911 Technical report TR-CS-90-02", 1912year = "1990", 1913organization = "Australian National University", 1914address = "Computer Science Department, ANU" 1915} 1916 1917@phdthesis{Neb95, 1918author = "Gabriele Nebe", 1919title = "Endliche rationale {M}atrixgruppen vom {G}rad 24", 1920series = AachenBM, 1921volume = "12", 1922year = "1995", 1923type = "Dissertation", 1924school = RWTH, 1925address = RWTH-A, 1926} 1927 1928@article{Neb96, 1929author = "Gabriele Nebe", 1930title = "Finite subgroups of {$GL_n(\Q)$} for $25 \leq n \leq 31$", 1931journal = "Comm. Alg.", 1932volume = "24 (7)", 1933pages = "2341--2397", 1934year = "1996", 1935} 1936 1937@phdthesis{Neu67, 1938author = "Joachim Neub{\accent127u}ser", 1939title = "Die {U}ntergruppenverb{\accent127a}nde der {Gruppen} der 1940 {Ordnungen} $\leq 100$ mit {Ausnahme} der {Ordnungen} 1941 64 und 96", 1942type = "Habilitationsschrift", 1943year = "1967", 1944school = UKiel, 1945address = UKiel-A, 1946notes = "PAGES: 370", 1947} 1948 1949@inproceedings{Neu82, 1950author = "Joachim Neub{\accent127u}ser", 1951title = "An elementary introduction to coset table methods in 1952 computational group theory", 1953crossref = "GrpsStAndrews81", 1954pages = "1--45", 1955keywords = "finitely presented groups; 1956 subgroup presentation, permutation representation, 1957 low index subgroups; 1958 Todd Coxeter (tc), modified Todd Coxeter (mtc); 1959 algorithm description, survey", 1960reviews = "MR 84f:20004 (George Havas), 1961 Zbl 489.20003 (G. Butler)", 1962} 1963 1964@book{neukirch, 1965 author = "J{\accent127u}rgen Neukirch", 1966 title = "Algebraische {Z}ahlentheorie", 1967 publisher = Springer, 1968 year = 1992} 1969 1970@inbook{NP95, 1971author = "G[abriele] Nebe and 1972 W[ilhelm] Plesken", 1973title = "Finite rational matrix groups of degree 16", 1974crossref = "NPbook95", 1975pages = "74--144", 1976} 1977 1978@book{NPbook95, 1979author = "G[abriele] Nebe and 1980 W[ilhelm] Plesken", 1981title = "Finite rational matrix groups", 1982series = "AMS Memoirs", 1983volume = "556", 1984year = "1995", 1985publisher = AMS, 1986notes = "PAGES: 144", 1987} 1988 1989@inproceedings{NPP84, 1990author = "J[oachim] Neub{\accent127u}ser and 1991 H[erbert] Pahlings and 1992 W[ilhelm] Plesken", 1993title = "{CAS}; 1994 Design and use of a system for the handling of 1995 characters of finite groups", 1996crossref = "Durham1982", 1997pages = "195--247", 1998keywords = "ordinary representations; 1999 characters", 2000reviews = "MR 86i:20004 (D. Hales), 2001 Zbl 546.20001 (G. Butler)", 2002} 2003 2004@article{NPW81, 2005author = "J[oachim] Neub{\accent127u}ser and 2006 W[ilhelm] Plesken and 2007 H[ans] Wondratschek", 2008title = "An emendatory discursion on defining crystal systems", 2009journal = "Match", 2010volume = "10", 2011pages = "77--96", 2012year = "1981", 2013reviews = "Zbl 551.20033 (Author)", 2014} 2015 2016@article{New77, 2017author = "M[ichael]~F. Newman", 2018title = "Determination of groups of prime-power order", 2019crossref = "Canberra75", 2020booktitle = "Group theory, 2021 Proc. Miniconf., Austral. Nat. Univ., Canberra, 1975", 2022pages = "73--84", 2023keywords = "finitely presented groups, p-groups;; nilpotent quotient; 2024 application", 2025reviews = "MR 56 # 12115 (Bruce W. King), 2026 Zbl no ref", 2027} 2028 2029@article{New90, 2030 author = "M[ichael]~F. Newman", 2031 title = "Proving a group infinite", 2032 journal = "Arch. Math. (Basel)", 2033 volume = 54, 2034 year = 1990, 2035 number = 3, 2036 pages = "209--211" 2037} 2038 2039@inproceedings{NO89, 2040author = "M[ichael]~F. Newman and 2041 E[amonn]~A. O'Brien", 2042title = "A {CAYLEY} library for the groups of order dividing 128", 2043crossref = "Singapore87", 2044pages = "437--442" 2045} 2046 2047@mastersthesis{Noe02, 2048author = "Felix Noeske", 2049title = "{Zur Darstellungstheorie der Schurschen Erweiterungen 2050 symmetrischer Gruppen}", 2051type = "Diplom\-ar\-beit", 2052school = RWTHLDFM, 2053year = "2002", 2054} 2055 2056@article{OBr90, 2057author = "E[amonn]~A. O'Brien", 2058title = "The $p$-group generation algorithm", 2059journal = JSYMC, 2060volume = "9", 2061pages = "677--698", 2062year = "1990", 2063} 2064 2065@article{OBr91, 2066author = "E[amonn]~A. O'Brien", 2067title = "The groups of order $256$", 2068journal = JALGE, 2069volume = "143", 2070pages = "219--235", 2071year = "1991", 2072} 2073 2074@article{OBr94, 2075author = "E[amonn]~A. O'Brien", 2076title = "Isomorphism testing for $p$-groups", 2077journal = JSYMC, 2078volume = "17 (1)", 2079year = "1994", 2080pages = "133--147", 2081} 2082 2083@inproceedings{OBr95, 2084author = "E[amonn]~A. O'Brien", 2085title = {Computing automorphism groups of $p$-groups}, 2086booktitle = {Computational Algebra Number and Number Theory}, 2087organization = {(Sydney, 1992)}, 2088year = 1995, 2089pages = {83--90}, 2090editor = {Wieb Bosma and Alf van der Poorten}, 2091publisher = {Kluwer Academic Publishers, Dordrecht} 2092} 2093 2094@article{NO96, 2095author = "M[ichael] F. Newman and E[amonn]~A. O'Brien", 2096title = "Application of computers to questions like those of {B}urnside, {II}", 2097journal = {Internat.\ J.\ Algebra Comput.}, 2098volume = "6", 2099pages = "593--605", 2100year = "1996", 2101} 2102 2103@techreport{Ost86, 2104author = "Th[omas] Ostermann", 2105title = "{C}haraktertafeln von {S}ylownormalisatoren sporadischer 2106 einfacher {G}ruppen", 2107type = "Vorlesungen aus dem Fachbereich Mathematik", 2108number = "14", 2109year = "1986", 2110institution = UEssen, 2111address = UEssen-A, 2112} 2113 2114@article{Pah93, 2115author = "Herbert Pahlings", 2116title = "On the {M\accent127o}bius Function of a Finite Group", 2117journal = ARCMB1, 2118volume = "60", 2119pages = "7--14", 2120year = "1993", 2121} 2122 2123@inproceedings{Par84, 2124 author = "Richard Parker", 2125 title = "{The Computer Calculation of Modular Characters 2126 (the {\sf MeatAxe})}", 2127 crossref = "Durham1982", 2128 pages = "267--274"} 2129 2130@mastersthesis{Pfe91, 2131author = "G. Pfeiffer", 2132title = "{Von Permutationscharakteren und Markentafeln}", 2133type = "Diplomarbeit", 2134school = RWTHLDFM, 2135adress = RWTH-A, 2136year = "1991", 2137} 2138 2139@Article{Pfe94a, 2140author = "G. Pfeiffer", 2141title = "Character tables of {W}eyl groups in {\sf GAP}", 2142journal = BayreuMS, 2143volume = 47, 2144pages = "165--222", 2145year = 1994, 2146publisher = UBayreu, 2147address = UBayreu-A, 2148} 2149 2150@Article{Pfe94b, 2151 author = "G. Pfeiffer", 2152 title = "Young characters on {Coxeter} basis elements of 2153 {Iwahori}-{Hecke} algebras and a {Murnaghan}-{Nakayama} 2154 formula", 2155 journal = JALGE, 2156 year = 1994, 2157 pages = "525--535", 2158 volume = 168, 2159} 2160 2161@inproceedings{Pfe96, 2162 author = "G. Pfeiffer", 2163 title = "Character values of {I}wahori-{H}ecke algebras of type {B}", 2164 crossref = "Luminy94", 2165} 2166 2167@article{Pfe97, 2168author = "G. Pfeiffer", 2169title = "The {S}ubgroups of ${M}_{24}$, or 2170 {H}ow to {C}ompute the {T}able of {M}arks of a {F}inite {G}roup", 2171journal = EXPMA, 2172year = "1997", 2173volume = "6", 2174number = "3", 2175pages = "247--270", 2176} 2177 2178@book{Pil83, 2179author = "G{\accent127u}nter Pilz", 2180title = "Near-Rings", 2181series = "North-Holland Mathematics Studies", 2182volume = "23", 2183year = "1983", 2184publisher = "North-Holland Publishing Company", 2185} 2186 2187 2188@article{Ple85, 2189author = "W[ilhelm] Plesken", 2190title = "Finite Unimodular Groups of Prime Degree and Circulants", 2191journal = JALGE, 2192volume = "97", 2193pages = "286--312", 2194year = "1985", 2195} 2196 2197@unpublished{Ple90, 2198author = "W[ilhelm] Plesken", 2199title = "Additive Decompositions of Positive Integral Quadratic 2200 Forms", 2201note = "The paper is available at 2202 Lehrstuhl B f{\accent127u}r Mathematik, 2203 Rheinisch Westf{\accent127a}lische Technische 2204 Hoch\-schule Aachen, 2205 may be it will be published in the near future", 2206year = "1990", 2207} 2208 2209@inbook{PN95, 2210author = "W[ilhelm] Plesken and 2211 G[abriele] Nebe", 2212title = "Finite rational matrix groups", 2213crossref = "NPbook95", 2214pages = "1--73", 2215} 2216 2217@article{PP77, 2218author = "Wilhelm Plesken and 2219 Michael Pohst", 2220title = "On maximal finite irreducible Subgroups of {GL(n,Z)}. 2221 {I}. The five and seven dimensional cases, 2222 {II}. The six dimensional case", 2223journal = MATHC3, 2224volume = "31", 2225pages = "536--576", 2226year = "1977", 2227reviews = "MR 56 # 3137a, 3137b (Wolfgang Knapp), 2228 Zbl 359.20006, 359.20007 (authors)", 2229} 2230 2231@article{PP80, 2232author = "Wilhelm Plesken and 2233 Michael Pohst", 2234title = "On maximal finite irreducible Subgroups of {GL(n,Z)}. 2235 {III}. The nine dimensional case, 2236 {IV}. Remarks on even dimensions with application to n = 8, 2237 {V}. The eight dimensional case and a complete description 2238 of dimensions less than ten", 2239journal = MATHC3, 2240volume = "34", 2241pages = "245--301", 2242year = "1980", 2243reviews = "MR 81b:20012a, 81b:20012b, 81b:20012c (Wolfgang Knapp), 2244 Zbl 431.20039, 431.20040, 431.20041 (authors)", 2245} 2246 2247@article{Poh87, 2248author = "M[ichael] Pohst", 2249title = "A modification of the {LLL} reduction algorithm", 2250journal = JSYMC, 2251volume = "4", 2252pages = "123--127", 2253year = "1987", 2254} 2255 2256@Article{Ram91, 2257 author = "A. Ram", 2258 title = "A {F}robenius formula for the characters of the {H}ecke 2259 algebras", 2260 journal = INVEM, 2261 year = 1991, 2262 volume = 106, 2263 pages = "461--488" 2264} 2265 2266@manual{Ram99a, 2267author = "Colin Ramsay", 2268title = "{\tt ACE} for {Amateurs}", 2269organization = "Centre for Discrete Mathematics and Computing, 2270 The University of Queensland", 2271year = 1999, 2272note = "Draft", 2273} 2274 2275@manual{Ram99, 2276author = "C.~Ramsay", 2277title = "{ACE} User Manual", 2278year = "1999", 2279organisation = "Centre for Discrete Mathematics and Computing", 2280address = "Department of Computer Science \& Electrical Engineering 2281 and Department of Mathematics, 2282 The University of Queensland, QLD 4072, Australia", 2283note = "Draft", 2284} 2285 2286@manual{Rin93, 2287author = "Michael Ringe", 2288title = "The {C} {M}eat{A}xe, 2289 Release 1.5", 2290year = "1993", 2291organization = RWTHLDfM, 2292address = RWTH-A, 2293} 2294 2295@manual{Rin98, 2296author = "Michael Ringe", 2297title = "The {C} {M}eat{A}xe, 2298 Release 2.3", 2299year = "1998", 2300organization = RWTHLDfM, 2301address = RWTH-A, 2302} 2303 2304@article{Rob88, 2305author = "E[dmund]~F. Robertson", 2306title = "{T}ietze transformations with weighted substring search", 2307journal = JSYMC, 2308volume = "6", 2309pages = "59--64", 2310year = "1988", 2311keywords = "finitely presented groups; 2312 simplification; 2313 Tietze transformations", 2314} 2315 2316@article{RoneyDougal02, 2317 author = "Colva~M. Roney-Dougal and William R. Unger", 2318 title = "The affine primitive permutation groups of degree less than 1000", 2319 journal = "Journal of Symbolic Computation", 2320 volume = "35", 2321 pages = "421--439", 2322 year = 2003 2323} 2324 2325@article{RoneyDougal05, 2326 author = "Colva~M. Roney-Dougal", 2327 title = "The primitive permutation groups of degree less than 2500", 2328 journal = "To appear in Journal of Algebra", 2329 year = 2005 2330} 2331 2332@article{Roy87, 2333author = "Gordon F. Royle", 2334title = "The transitive groups of degree twelve", 2335journal = JSYMC, 2336volumn = "4", 2337year = "1987", 2338pages = "255--268" 2339} 2340 2341@article{Sco73, 2342author = "L.~L.~Scott", 2343title = "Modular Permutation Representations", 2344journal = TRAAM, 2345volume = "175", 2346pages = "101--121", 2347year = "1973", 2348} 2349 2350@article{Sch90, 2351author = "Gerhard J.~A.~Schneider", 2352title = "{D}ixon's Character Table Algorithm Revisited", 2353journal = JSYMC, 2354volume = "9", 2355pages = "601--606", 2356year = "1990", 2357} 2358 2359@mastersthesis{Scherner92, 2360author = "Michael Scherner", 2361title = "Erweiterung einer {A}rithmetik von 2362 {K}reisteilungsk{\accent127 o}rpern auf deren 2363 {T}eilk{\accent127 o}rper und deren {I}mplementation in {GAP}", 2364type = "Diplomarbeit", 2365year = "1992", 2366school = RWTHLDfM, 2367address = RWTH-A, 2368} 2369 2370@mastersthesis{Schiffer94, 2371author = "Ute Schiffer", 2372title = "Cliffordmatrizen", 2373type = "Diplomarbeit", 2374year = "1994", 2375school = RWTHLDfM, 2376address = RWTH-A, 2377} 2378 2379@article{Seress98, 2380 author = "{\'A}kos Seress", 2381 title = "Nearly linear time algorithms for permutation groups: 2382 an interplay between theory and practice", 2383 journal = ACTAM3, 2384 volume = 52, 2385 number = "1--3", 2386 year = 1998, 2387 pages = "183--207"} 2388 2389@Article{ST54, 2390 author = "G. C. Shephard and J. A. Todd", 2391 title = "Finite unitary reflection groups", 2392 journal = "Canad. J. Math.", 2393 year = 1954, 2394 volume = 6, 2395 pages = "274--304" 2396} 2397 2398@book{Sho92, 2399author = "Mark W. Short", 2400title = "The Primitive Soluble Permutation Groups of Degree less 2401 than 256", 2402series = LNM, 2403volume = "1519", 2404year = "1992", 2405publisher = Springer, 2406} 2407 2408@inproceedings{Sim70, 2409author = "Charles~C. Sims", 2410title = "Computational methods in the study of permutation groups", 2411crossref = "Oxford67", 2412pages = "169--183", 2413keywords = "permutation groups; 2414 primitive groups, classification of, stabilizer chain; 2415 Schreier Sims", 2416reviews = "MR 41 # 1856 (H. Kimura), 2417 Zbl 215, 100 (J. McKay), 2418 CR 11 # 19,829 (G.~N. Raney)", 2419notes = "RUSSIAN translation in: 2420 Computations in algebra and number theory (Russian), edited 2421 by B.~B. Venkov and D.~K. Faddeev, pp. 129--147, 2422 Matematika, Novoie v Zarubeznoi Naukie, vol. 2, 2423 Izdat. MIR, Moscow, 1976", 2424} 2425 2426@article{Sims90b, 2427 author = "Charles~C. Sims", 2428 title = "Computing the order of a solvable permutation group", 2429 journal = JSYMC, 2430 volume = 9, 2431 pages = "699--705", 2432 year = 1990} 2433 2434@book{Sims94, 2435 Author = "C.~C. Sims", 2436 Title = "Computation with Finitely Presented Groups", 2437 Publisher = {Cambridge University Press}, 2438 Year = {1994} 2439} 2440 2441@inproceedings{Sims97, 2442 author = "Charles~C. Sims", 2443 title = "Computing with Subgroups of Automorphism Groups 2444 of Finite Groups", 2445 crossref = "ISSAC97", 2446 pages = "40--403"} 2447 2448@manual{Sog89, 2449title = "{SOGOS} - A Program System for Handling Subgroups of 2450 Finite Soluble Groups, version 5.0, User's reference manual", 2451year = "1989", 2452organization = RWTHLDfM, 2453address = RWTH-A, 2454keywords = "groups, finitely presented groups, polycyclic groups, 2455 nilpotent groups, p-groups; 2456 SOGOS, pc-presentation, ag-presentation, collection, 2457 elements, classes of conjugate elements, 2458 centralizer, normalizer, normal closure, intersection, 2459 sylow subgroups, derived subgroup, series, 2460 central series, p-central series, subgroup lattice, 2461 table of marks, complements, factor groups; 2462 nilpotent quotient (nq); 2463 manual", 2464} 2465 2466@inproceedings{Soi91, 2467author = "L[eonard] H. Soicher", 2468title = "{GRAPE}: a system for computing with graphs and groups", 2469crossref = "DIMACS", 2470pages = "287-291", 2471} 2472 2473@article{Sou94, 2474author = "Bernd Souvignier", 2475title = "Irreducible finite integral matrix groups of degree 8 2476 and 10", 2477journal = MATHC3, 2478volume = "63", 2479pages = "335--350", 2480year = "1994", 2481} 2482 2483@manual{Spa89, 2484title = "{SPAS} - {S}ubgroup {P}resentation {A}lgorithms {S}ystem, 2485 version 2.5, User's reference manual", 2486key = "SPAS", 2487year = "1989", 2488organization = RWTHLDfM, 2489address = RWTH-A, 2490keywords = "finitely presented groups; 2491 SPAS, subgroup presentation, simplification, 2492 low index subgroups; 2493 Todd Coxeter (tc), modified Todd Coxeter (mtc), 2494 Reidemeister Schreier (rs), 2495 reduced Reidemeister Schreier (rrs), 2496 Tietze transformations, tree decoding; 2497 manual", 2498} 2499 2500@Book{Spr81, 2501 author = "Springer, T. A.", 2502 title = "Linear algebraic groups", 2503 publisher = Birkhaeus, 2504 year = 1981 2505} 2506 2507@Article{Ste89, 2508 author = "Stembridge, J. R.", 2509 title = "On the eigenvalues of representations of reflection groups 2510 and wreath products", 2511 journal = "Pacific J. Math.", 2512 year = 1989, 2513 volume = 140, 2514 pages = "353--396" 2515} 2516 2517@article{Tay87, 2518author = "D.~E.~Taylor", 2519title = "Pairs of Generators for Matrix Groups. {I}", 2520journal = "The Cayley Bulletin", 2521volume = "3", 2522year = "1987", 2523} 2524 2525@mastersthesis{Theissen93, 2526 author = "Heiko Thei{\ss}en", 2527 title = "{Methoden zur Bestimmung der rationalen 2528 Konjugiertheit in endlichen Gruppen}", 2529 type = "Diplomarbeit", 2530 school = RWTHLDFM, 2531 adress = RWTH-A, 2532 year = 1993} 2533 2534@phdthesis{Theissen97, 2535 author = "Heiko Thei{\ss}en", 2536 title = "{Eine Methode zur Normalisatorberechnung in 2537 Per\-mu\-ta\-tions\-gruppen mit An\-wen\-dun\-gen in der 2538 Kon\-struk\-tion primitiver Gruppen}", 2539 type = "Dissertation", 2540 school = RWTH, 2541 address = RWTH-A, 2542 year = "1997"} 2543 2544@mastersthesis{Thi87, 2545author = "Peter Thiemann", 2546title = "{SOGOS} {III} - {C}haraktere und {E}ffizienzuntersuchung", 2547type = "Diplom\-arbeit", 2548year = "1987", 2549school = RWTHLDfM, 2550address = RWTH-A, 2551} 2552 2553@article{VL84, 2554author = "M[ichael] R. Vaughan-Lee", 2555title = "An Aspect of the {Nilpotent Quotient Algorithm}", 2556crossref = "Durham1982", 2557pages = "75--84", 2558} 2559 2560@article{VL90a, 2561author = "M[ichael] R. Vaughan-Lee", 2562title = "Collection from the Left", 2563journal = JSYMC, 2564volume = "9", 2565pages = "725--733", 2566year = "1990", 2567publisher = AcaPress, 2568} 2569 2570@book{VL90b, 2571author = "M[ichael] R. Vaughan-Lee", 2572title = "The restricted {Burnside} problem", 2573series = LMSMon, 2574volume = "5", 2575year = "1990", 2576publisher = OxUnPress, 2577} 2578 2579@article{vdW76, 2580author = "Robert W. van der Waall", 2581title = "On symplectic primitive modules and monomial groups", 2582journal = "Indagationes Math.", 2583volume = "38", 2584pages = "362--375", 2585year = "1976", 2586} 2587 2588 2589@article{Wagon90, 2590 author = "Wagon, Stan", 2591 title = "Editor's corner: the {E}uclidean algorithm strikes again", 2592 journal = "Amer. Math. Monthly", 2593 volume = 97, 2594 year = 1990, 2595 number = 2, 2596 pages = {125--129}, 2597} 2598 2599@techreport{wielandt69, 2600 author = "Helmut Wielandt", 2601 title = "Permutation groups through invariant relations and 2602 invariant functions", 2603 type = "Lecture Notes", 2604 institution = "Department of Mathematics, The Ohio State University", 2605 year = 1969} 2606 2607@misc{AGR, 2608author = "Robert A.~Wilson", 2609title = "{ATLAS of Finite Group Representations}", 2610key = "ATLAS", 2611howpublished = {\href{http://brauer.maths.qmul.ac.uk/Atlas}{http://brauer.maths.qmul.ac.uk/Atlas}}, 2612} 2613 2614@article{BSW01, 2615author = "John N.~Bray and 2616 Ibrahim A.~I.~Suleiman and 2617 Peter G.~Walsh and 2618 Robert A.~Wilson", 2619title = "Generating maximal subgroups of sporadic simple groups", 2620journal = COMMA2, 2621volume = "29", 2622number = "3", 2623pages = "1325--1337", 2624year = "2001", 2625} 2626 2627@article{Wil96, 2628author = "R[obert] A. Wilson", 2629title = "Standard generators for sporadic simple groups", 2630journal = JALGE, 2631volume = "184", 2632pages = "505--515", 2633year = "1996", 2634} 2635 2636@InCollection{Won95, 2637 author = "Hans Wondratschek", 2638 title = "Introduction to space-group symmetry", 2639 editor = "Theo Hahn", 2640 crossref = "Hah95", 2641 pages = "711--735" 2642} 2643 2644@manual{Wur93, 2645author = "Martin Wursthorn", 2646title = "{\sc SISYPHOS} Computing in modular group algebras, 2647 Version 0.5", 2648year = "1993", 2649organization = "Math. Inst. B, 3. Lehrstuhl", 2650address = "Universit{\accent127a}t Stuttgart", 2651} 2652 2653@article {Zagier90, 2654 author = "Zagier, D.", 2655 title = "A one-sentence proof that every prime $p\equiv 1\pmod 4$ is a 2656 sum of two squares", 2657 journal = "Amer. Math. Monthly", 2658 volume = 97, 2659 year = 1990, 2660 number = 2, 2661 pages = 144, 2662} 2663 2664@mastersthesis{Zum89, 2665author = "Matthias Zumbroich", 2666title = "{Grundlagen} einer {Arithmetik} in 2667 {Kreisteilungsk{\accent127o}rpern} und ihre 2668 {Implementation} in {CAS}", 2669type = "Diplomarbeit", 2670year = "1989", 2671school = RWTHLDfM, 2672address = RWTH-A, 2673} 2674 2675 2676%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 2677%% 2678%P Proceedings . . . . . . . . . . . . . . . . . references for proceedings 2679%% 2680%% The following references are proceedings that are *crossreferenced* from 2681%% the references above. They *must* come at the end of this file. They 2682%% are ordered with respect to the year of their publication. 2683%% 2684@proceedings{Oxford67, 2685title = "Computational Problems in Abstract Algebra, Oxford, 1967", 2686booktitle = "Computational Problems in Abstract Algebra, 2687 Proc. Conf. Oxford, 1967", 2688editor = "John Leech", 2689year = "1970", 2690publisher = Pergamon, 2691reviews = "MR 40#5374, 2692 Zbl 186.299", 2693} 2694 2695@proceedings{Canberra73, 2696title = "Second International Conference on the Theory of Groups, 2697 Canberra, 1973", 2698booktitle = "Proceedings of the Second International Conference on the 2699 Theory of Groups, Canberra, 1973", 2700series = LNM, 2701volume = "372", 2702editor = "M[ichael]~F. Newman", 2703year = "1974", 2704publisher = Springer, 2705reviews = "MR 49#9054, 2706 Zbl 282.00012", 2707} 2708 2709@proceedings{Canberra75, 2710title = "Group theory, Canberra, 1975", 2711booktitle = "Group theory, 2712 Proc. Miniconf., Austral. Nat. Univ., Canberra, 1975", 2713series = LNM, 2714volume = "573", 2715editor = "R.~A. Bryce and J. Cossey and M[ichael]~F. Newman", 2716year = "1977", 2717publisher = Springer, 2718reviews = "MR 55#3040, 2719 Zbl 342.00008", 2720} 2721 2722@proceedings{Bielefeld77, 2723title = "Burnside groups, Bielefeld, 1977", 2724booktitle = "Burnside groups, Proceedings of a workshop, 2725 Bielefeld, Germany, 1977", 2726series = LNM, 2727volume = "806", 2728editor = "J[ens] L. Mennicke", 2729year = "1980", 2730publisher = Springer, 2731reviews = "MR 81j:20002, 2732 Zbl 424.00008" 2733} 2734 2735@proceedings{EUROSAM79, 2736 title = "EUROSAM 79, Marseille, 1979", 2737 booktitle = "Symbolic and Algebraic Computation (Proceedings of 2738 EUROSAM 79, An International Symposium on Symbolic 2739 and Algebraic Manipulation, Marseille, 1979)", 2740 series = "Lecture Notes in Computer Science, 72", 2741 editor = "Edward W. Ng", 2742 year = 1979, 2743 publisher = Springer} 2744 2745@proceedings{Durham1982, 2746title = "Computational Group Theory, 2747 Proceedings LMS Symposium on Computational Group Theory, 2748 Durham 1982", 2749booktitle = "Computational Group Theory, 2750 Proceedings LMS Symposium on Computational Group Theory, 2751 Durham 1982", 2752editor = "Michael D. Atkinson", 2753year = "1984", 2754publisher = AcaPress 2755} 2756 2757@proceedings{GrpsStAndrews81, 2758title = "Groups-St.Andrews 1981, 2759 Proceedings of a conference, 2760 St.Andrews 1981", 2761booktitle = "Groups-St.Andrews 1981, 2762 Proceedings of a conference, 2763 St.Andrews 1981", 2764series = LMSLec, 2765volume = "71", 2766editor = "Colin M. Campbell and 2767 Edmund F. Robertson", 2768year = "1982", 2769publisher = CamUPress, 2770} 2771 2772@proceedings{Singapore87, 2773title = "Group Theory, 2774 Proceedings of the 1987 Singapore Conference, 2775 Singapore 1987", 2776booktitle = "Group Theory, 2777 Proceedings of the 1987 Singapore Conference, 2778 Singapore 1987", 2779year = "1989", 2780publisher = Gruyter, 2781} 2782 2783@proceedings{MR91, 2784title = "Representation theory of finite groups and 2785 finite-dimensional algebras", 2786booktitle = "Representation theory of finite groups and 2787 finite-dimensional algebras", 2788editor = "G.~O. Michler and 2789 C.~R. Ringel", 2790series = "Progress in Mathematics", 2791volume = "95", 2792year = "1991", 2793publisher = Birkhaeus, 2794} 2795 2796 2797@proceedings{ISSAC91, 2798title = "Proceedings of the 1991 International Symposium 2799 on Symbolic and Algebraic Computation (ISSAC'91), 2800 Bonn 1991", 2801booktitle = "Proceedings of the International Symposium 2802 on Symbolic and Algebraic Computation (ISSAC'91), 2803 Bonn 1991", 2804year = "1991", 2805publisher = ACM, 2806} 2807 2808@proceedings{ISSAC97, 2809 title = "Proceedings of the 1997 International Symposium on Symbolic and Algebraic Computation", 2810 booktitle = "Proceedings of the 1997 International Symposium on Symbolic and Algebraic Computation", 2811 year = 1997, 2812 editor = "K{\accent127u}chlin, Wolfgang", 2813 publisher = ACM, 2814 organization = "The Association for Computing Machinery", 2815 key = "ACM" 2816} 2817 2818@proceedings{ISSAC98, 2819 title = "Proceedings of the 1998 International Symposium on Symbolic and Algebraic Computation", 2820 booktitle = "Proceedings of the 1998 International Symposium on Symbolic and Algebraic Computation", 2821 year = 1998, 2822 editor = "Oliver Gloor", 2823 publisher = ACM, 2824 organization = "The Association for Computing Machinery", 2825 key = "ACM" 2826} 2827 2828@proceedings{DIMACS, 2829booktitle = "Proceedings of the 1991 DIMACS Workshop on 2830 Groups and Computation", 2831editor = "Finkelstein, Larry and Kantor, William M.", 2832series = "DIMACS Series in Discrete Mathematics and 2833 Theoretical Computer Science", 2834volume = "11", 2835year = "1993", 2836publisher = AMS 2837} 2838 2839 2840@proceedings{DIMACS2, 2841 title = "Groups and computation. {II}", 2842booktitle = "Proceedings of the 2nd DIMACS Workshop held at Rutgers 2843 University, New Brunswick, NJ, June 7--10, 1995", 2844 editor = "Finkelstein, Larry and Kantor, William M.", 2845 series = "DIMACS Series in Discrete Mathematics and Theoretical Computer 2846 Science", 2847 volume = 28, 2848publisher = AMS, 2849 year = 1997 2850} 2851 2852@proceedings{DIMACS3, 2853 title = "Groups and computation. {III}", 2854 BOOKTITLE = "Proceedings of the 3rd International Conference held at The 2855 Ohio State University, Columbus, OH, June 15--19, 1999", 2856 editor = "William~M. Kantor and {\'A}kos Seress", 2857 series = "Ohio State University Mathematical Research Institute 2858 Publications", 2859 volume = 8, 2860 PUBLISHER = Gruyter, 2861 YEAR = 2001 2862} 2863 2864@proceedings {DIMACS94, 2865 title = {Geometric and computational perspectives on infinite 2866 groups}, 2867 booktitle = {Proceedings of the Joint DIMACS/Geometry Center 2868 Workshop held at the University of Minnesota, 2869 Minneapolis, Minnesota, January 3--14, 1994 and 2870 Rutgers University, New Brunswick, New Jersey, March 2871 17--20, 1994}, 2872 editor = {Baumslag, Gilbert and Epstein, David and Gilman, 2873 Robert and Short, Hamish and Sims, Charles}, 2874 publisher = AMS, 2875 address = AMSADR, 2876 year = 1996 2877} 2878 2879@proceedings{Groups93Vol1, 2880title = "Groups '93 Galway / St.Andrews, Galway 1993, Volume 1", 2881booktitle = "Groups '93 Galway / St.Andrews, Galway 1993, Volume 1", 2882series = LMSLec, 2883volume = "211", 2884editor = "C[olin] M. Campbell and 2885 T[haddeus] C. Hurley and 2886 E[dmund] F. Robertson and 2887 S[ean] J. Tobin and 2888 J[ames] J. Ward", 2889year = "1995", 2890publisher = CamUPress, 2891notes = "PAGES: xii + 304", 2892} 2893 2894@proceedings{Groups93Vol2, 2895title = "Groups '93 Galway / St.Andrews, Galway 1993, Volume 2", 2896booktitle = "Groups '93 Galway / St.Andrews, Galway 1993, Volume 2", 2897series = LMSLec, 2898volume = "212", 2899editor = "C[olin] M. Campbell and 2900 T[haddeus] C. Hurley and 2901 E[dmund] F. Robertson and 2902 S[ean] J. Tobin and 2903 J[ames] J. Ward", 2904year = "1995", 2905publisher = CamUPress, 2906notes = "PAGES: xii + 305", 2907} 2908 2909@Proceedings{Luminy94, 2910 title = "Finite Reductive Groups, Related Structures and 2911 Representations", 2912 booktitle = "Finite Reductive Groups, Related Structures and 2913 Representations", 2914 year = 1996, 2915 editor = "Marc Cabanes", 2916 volume = 141, 2917 series = "Progress in Mathematics", 2918 publisher = Birkhaeus 2919} 2920