1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
|
<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN"
"http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en">
<head>
<title>GAP (CTblLibXpls) - References</title>
<meta http-equiv="content-type" content="text/html; charset=UTF-8" />
<meta name="generator" content="GAPDoc2HTML" />
<link rel="stylesheet" type="text/css" href="manual.css" />
<script src="manual.js" type="text/javascript"></script>
<script type="text/javascript">overwriteStyle();</script>
</head>
<body class="chapBib" onload="jscontent()">
<div class="chlinktop"><span class="chlink1">Goto Chapter: </span><a href="chap0.html">Top</a> <a href="chap1.html">1</a> <a href="chap2.html">2</a> <a href="chap3.html">3</a> <a href="chap4.html">4</a> <a href="chap5.html">5</a> <a href="chap6.html">6</a> <a href="chap7.html">7</a> <a href="chap8.html">8</a> <a href="chap9.html">9</a> <a href="chap10.html">10</a> <a href="chap11.html">11</a> <a href="chapBib.html">Bib</a> <a href="chapInd.html">Ind</a> </div>
<div class="chlinkprevnexttop"> <a href="chap0.html">[Top of Book]</a> <a href="chap0.html#contents">[Contents]</a> <a href="chap11.html">[Previous Chapter]</a> <a href="chapInd.html">[Next Chapter]</a> </div>
<p id="mathjaxlink" class="pcenter"><a href="chapBib_mj.html">[MathJax on]</a></p>
<p><a id="X7A6F98FD85F02BFE" name="X7A6F98FD85F02BFE"></a></p>
<h3>References</h3>
<p><a id="biBBe00" name="biBBe00"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1799483">Ber00</a></span>] <b class='BibAuthor'>Bereczky, Á.</b>,
<a href="http://dx.doi.org/10.1006/jabr.2000.8458"><i class='BibTitle'>Maximal overgroups of Singer elements in classical
groups</i></a>,
<span class='BibJournal'>J. Algebra</span>,
<em class='BibVolume'>234</em> (<span class='BibNumber'>1</span>)
(<span class='BibYear'>2000</span>),
<span class='BibPages'>187–206</span>.
</p>
<p><a id="biBBG21" name="biBBG21"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>BG</span>] <b class='BibAuthor'>Breuer, T. and Guralnick, R. M.</b>,
<i class='BibTitle'>Finite groups can be generated by a pi-subgroup and a pi'-subgroup</i>,
<span class='BibHowpublished'><a href="https://arxiv.org/abs/2103.17216">arXiv:2103.17216</a></span>.
</p>
<p><a id="biBBGK" name="biBBGK"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=2422303">BGK08</a></span>] <b class='BibAuthor'>Breuer, T., Guralnick, R. M. and Kantor, W. M.</b>,
<a href="http://dx.doi.org/10.1016/j.jalgebra.2007.10.028"><i class='BibTitle'>Probabilistic generation of finite simple groups, II</i></a>,
<span class='BibJournal'>J. Algebra</span>,
<em class='BibVolume'>320</em> (<span class='BibNumber'>2</span>)
(<span class='BibYear'>2008</span>),
<span class='BibPages'>443–494</span>.
</p>
<p><a id="biBGMN" name="biBGMN"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=2669683">BGL+10</a></span>] <b class='BibAuthor'>Breuer, T., Guralnick, R. M., Lucchini, A., Maróti, A. and Nagy, G. P.</b>,
<a href="http://dx.doi.org/10.1112/blms/bdq017"><i class='BibTitle'>Hamiltonian cycles in the generating graphs of finite groups</i></a>,
<span class='BibJournal'>Bull. London Math. Soc.</span>,
<em class='BibVolume'>42</em> (<span class='BibNumber'>4</span>)
(<span class='BibYear'>2010</span>),
<span class='BibPages'>621–633</span>.
</p>
<p><a id="biBBGS11" name="biBBGS11"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=2781219">BGS11</a></span>] <b class='BibAuthor'>Burness, T. C., Guralnick, R. M. and Saxl, J.</b>,
<a href="http://dx.doi.org/10.1112/blms/bdq123"><i class='BibTitle'>On base sizes for symmetric groups</i></a>,
<span class='BibJournal'>Bull. Lond. Math. Soc.</span>,
<em class='BibVolume'>43</em> (<span class='BibNumber'>2</span>)
(<span class='BibYear'>2011</span>),
<span class='BibPages'>386–391</span>.
</p>
<p><a id="biBBMO17" name="biBBMO17"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=3682588">BMO17</a></span>] <b class='BibAuthor'>Breuer, T., Malle, G. and O'Brien, E. A.</b>,
<i class='BibTitle'>Reliability and reproducibility of Atlas information</i>,
in <i class='BibBooktitle'>Finite simple groups: thirty years of the atlas and beyond</i>,
<span class='BibPublisher'>Amer. Math. Soc.</span>,
<span class='BibSeries'>Contemp. Math.</span>,
<em class='BibVolume'>694</em>,
<span class='BibAddress'>Providence, RI</span>
(<span class='BibYear'>2017</span>),
<span class='BibPages'>21–31</span>.
</p>
<p><a id="biBBN95" name="biBBN95"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1367961">BN95</a></span>] <b class='BibAuthor'>Breuer, T. and Norton, S. P.</b>,
<i class='BibTitle'>Improvements to the Atlas</i>,
<span class='BibPublisher'>The Clarendon Press Oxford University Press</span>,
<span class='BibSeries'>London Mathematical Society Monographs. New Series</span>,
<em class='BibVolume'>11</em>,
<span class='BibAddress'>New York</span>
(<span class='BibYear'>1995</span>),
<span class='BibPages'>297–327</span><br />
(<span class='BibNote'>Appendix 2 by T. Breuer and S. Norton,
Oxford Science Publications</span>).
</p>
<p><a id="biBBP98copy" name="biBBP98copy"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1633876">BP98</a></span>] <b class='BibAuthor'>Breuer, T. and Pfeiffer, G.</b>,
<a href="http://dx.doi.org/10.1006/jsco.1998.0217"><i class='BibTitle'>Finding possible permutation characters</i></a>,
<span class='BibJournal'>J. Symbolic Comput.</span>,
<em class='BibVolume'>26</em> (<span class='BibNumber'>3</span>)
(<span class='BibYear'>1998</span>),
<span class='BibPages'>343–354</span>.
</p>
<p><a id="biBAmbigFus" name="biBAmbigFus"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Brea</span>] <b class='BibAuthor'>Breuer, T.</b>,
<i class='BibTitle'>Ambiguous Class Fusions in the <strong class='pkg'>GAP</strong>
Character Table Library</i>,
<span class='BibHowpublished'><a href="https://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib/doc2/manual.pdf">https://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib/doc2/manual.pdf</a></span>.
</p>
<p><a id="biBProbGenArxiv" name="biBProbGenArxiv"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Breb</span>] <b class='BibAuthor'>Breuer, T.</b>,
<i class='BibTitle'><strong class='pkg'>GAP</strong> computations concerning
probabilistic generation of finite simple groups</i>,
<span class='BibHowpublished'><a href="https://export.arxiv.org/abs/0710.3267">arXiv:0710.3267</a></span>.
</p>
<p><a id="biBAuto" name="biBAuto"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Brec</span>] <b class='BibAuthor'>Breuer, T.</b>,
<i class='BibTitle'>Using Table Automorphisms for Constructing Character Tables
in <strong class='pkg'>GAP</strong></i>,
<span class='BibHowpublished'><a href="https://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib/doc2/manual.pdf">https://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib/doc2/manual.pdf</a></span>.
</p>
<p><a id="biBBre91" name="biBBre91"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Bre91</span>] <b class='BibAuthor'>Breuer, T.</b>,
<i class='BibTitle'>Potenzabbildungen, Untergruppenfusionen,
Tafel-Automorphismen</i>,
<span class='BibType'>Diplomarbeit</span>,
<span class='BibSchool'>Lehrstuhl D für Mathematik, Rheinisch Westfälische
Technische Hochschule</span>,
<span class='BibAddress'>Aachen, Germany</span>
(<span class='BibYear'>1991</span>).
</p>
<p><a id="biBBre11" name="biBBre11"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=2831228">Bre11</a></span>] <b class='BibAuthor'>Breuer, T.</b>,
<a href="http://dx.doi.org/10.1112/S1461157010000318"><i class='BibTitle'>Computing character tables of groups of type
M.G.A</i></a>,
<span class='BibJournal'>LMS J. Comput. Math.</span>,
<em class='BibVolume'>14</em>
(<span class='BibYear'>2011</span>),
<span class='BibPages'>173–178</span>.
</p>
<p><a id="biBCTblLib" name="biBCTblLib"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Bre24</span>] <b class='BibAuthor'>Breuer, T.</b>,
<i class='BibTitle'>The <strong class='pkg'>GAP</strong> Character Table
Library, Version 1.3.9</i>
(<span class='BibYear'>2024</span>)<br />
(<span class='BibNote'><strong class='pkg'>GAP</strong> package</span>),
<span class='BibHowpublished'><a href="https://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib">https://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib</a></span>.
</p>
<p><a id="biBBW1" name="biBBW1"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=0372033">BW75</a></span>] <b class='BibAuthor'>Brenner, J. L. and Wiegold, J.</b>,
<i class='BibTitle'>Two-generator groups. I</i>,
<span class='BibJournal'>Michigan Math. J.</span>,
<em class='BibVolume'>22</em>
(<span class='BibYear'>1975</span>),
<span class='BibPages'>53–64</span>.
</p>
<p><a id="biBCCN85" name="biBCCN85"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=827219">CCN+85</a></span>] <b class='BibAuthor'>Conway, J. H., Curtis, R. T., Norton, S. P., Parker, R. A. and Wilson, R. A.</b>,
<i class='BibTitle'>Atlas of finite groups</i>,
<span class='BibPublisher'>Oxford University Press</span>,
<span class='BibAddress'>Eynsham</span>
(<span class='BibYear'>1985</span>),
<span class='BibPages'>xxxiv+252 pages</span><br />
(<span class='BibNote'>Maximal subgroups and ordinary characters for simple groups,
With computational assistance from J. G. Thackray</span>).
</p>
<p><a id="biBCP96" name="biBCP96"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>CP96</span>] <b class='BibAuthor'>Cannon, J. J. and Playoust, C.</b>,
<i class='BibTitle'>An introduction to algebraic programming in Magma</i>,
<span class='BibOrganization'>School of Mathematics and Statistics,
University of Sydney</span>,
<span class='BibAddress'>Sydney, Australia</span>
(<span class='BibYear'>1996</span>),
<span class='BibHowpublished'><a href="http://www.math.usyd.edu.au:8000/u/magma">http://www.math.usyd.edu.au:8000/u/magma</a></span>.
</p>
<p><a id="biBDad66" name="biBDad66"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=0200355">Dad66</a></span>] <b class='BibAuthor'>Dade, E. C.</b>,
<a href="http://dx.doi.org/10.2307/1970529"><i class='BibTitle'>Blocks with cyclic defect groups</i></a>,
<span class='BibJournal'>Ann. of Math. (2)</span>,
<em class='BibVolume'>84</em>
(<span class='BibYear'>1966</span>),
<span class='BibPages'>20–48</span>.
</p>
<p><a id="biBDLP23" name="biBDLP23"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>DLP23</span>] <b class='BibAuthor'>Dietrich, H., Lee, M. and Popiel, T.</b>,
<i class='BibTitle'>The maximal subgroups of the Monster</i>
(<span class='BibYear'>2023</span>),
<span class='BibHowpublished'><a href="https://arxiv.org/abs/2304.14646">arXiv:2304.14646</a></span>.
</p>
<p><a id="biBDNT" name="biBDNT"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=096641">DNT13</a></span>] <b class='BibAuthor'>Dolfi, S., Navarro, G. and Tiep, P. H.</b>,
<i class='BibTitle'>Finite groups whose same degree characters are Galois
conjugate</i>,
<span class='BibJournal'>Israel J. Math.</span>,
<em class='BibVolume'>198</em> (<span class='BibNumber'>1</span>)
(<span class='BibYear'>2013</span>),
<span class='BibPages'>283–331</span>.
</p>
<p><a id="biBFeit82" name="biBFeit82"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=661045">Fei82</a></span>] <b class='BibAuthor'>Feit, W.</b>,
<i class='BibTitle'>The representation theory of finite groups</i>,
<span class='BibPublisher'>North-Holland Publishing Co.</span>,
<span class='BibSeries'>North-Holland Mathematical Library</span>,
<em class='BibVolume'>25</em>
(<span class='BibYear'>1982</span>)<br />
(<span class='BibNote'>xiv+502 pp., ISBN 0-444-86155-6</span>).
</p>
<p><a id="biBGag86" name="biBGag86"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=817904">Gag86</a></span>] <b class='BibAuthor'>Gagola, Jr., S. M.</b>,
<a href="http://dx.doi.org/10.1307/mmj/1029003285"><i class='BibTitle'>Formal character tables</i></a>,
<span class='BibJournal'>Michigan Math. J.</span>,
<em class='BibVolume'>33</em> (<span class='BibNumber'>1</span>)
(<span class='BibYear'>1986</span>),
<span class='BibPages'>3–10</span>.
</p>
<p><a id="biBGAP" name="biBGAP"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>GAP21</span>]
<i class='BibTitle'><strong class='pkg'>GAP</strong> –
Groups, Algorithms, and Programming,
Version 4.11.1</i>,
<span class='BibOrganization'>The GAP Group</span>
(<span class='BibYear'>2021</span>),
<span class='BibHowpublished'><a href="https://www.gap-system.org">https://www.gap-system.org</a></span>.
</p>
<p><a id="biBGMS89" name="biBGMS89"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1025167">GJMS89</a></span>] <b class='BibAuthor'>Griess Jr., R. L., Meierfrankenfeld, U. and Segev, Y.</b>,
<a href="https://doi.org/10.2307/1971455"><i class='BibTitle'>A uniqueness proof for the Monster</i></a>,
<span class='BibJournal'>Ann. of Math. (2)</span>,
<em class='BibVolume'>130</em> (<span class='BibNumber'>3</span>)
(<span class='BibYear'>1989</span>),
<span class='BibPages'>567–602</span>.
</p>
<p><a id="biBGK" name="biBGK"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1800754">GK00</a></span>] <b class='BibAuthor'>Guralnick, R. M. and Kantor, W. M.</b>,
<a href="http://dx.doi.org/10.1006/jabr.2000.8357"><i class='BibTitle'>Probabilistic generation of finite simple groups</i></a>,
<span class='BibJournal'>J. Algebra</span>,
<em class='BibVolume'>234</em> (<span class='BibNumber'>2</span>)
(<span class='BibYear'>2000</span>),
<span class='BibPages'>743–792</span><br />
(<span class='BibNote'>Special issue in honor of Helmut Wielandt</span>).
</p>
<p><a id="biBGM01" name="biBGM01"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1849484">GM01</a></span>] <b class='BibAuthor'>Ganief, S. and Moori, J.</b>,
<a href="http://dx.doi.org/10.1081/AGB-100105019"><i class='BibTitle'>On the spread of the sporadic simple groups</i></a>,
<span class='BibJournal'>Comm. Algebra</span>,
<em class='BibVolume'>29</em> (<span class='BibNumber'>8</span>)
(<span class='BibYear'>2001</span>),
<span class='BibPages'>3239–3255</span>.
</p>
<p><a id="biBGPPS" name="biBGPPS"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1658168">GPPS99</a></span>] <b class='BibAuthor'>Guralnick, R., Penttila, T., Praeger, C. E. and Saxl, J.</b>,
<a href="http://dx.doi.org/10.1112/S0024611599001616"><i class='BibTitle'>Linear groups with orders having certain large prime divisors</i></a>,
<span class='BibJournal'>Proc. London Math. Soc.</span>,
<em class='BibVolume'>78</em> (<span class='BibNumber'>1</span>)
(<span class='BibYear'>1999</span>),
<span class='BibPages'>167–214</span>.
</p>
<p><a id="biBHL89" name="biBHL89"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1033265">HL89</a></span>] <b class='BibAuthor'>Hiss, G. and Lux, K.</b>,
<i class='BibTitle'>Brauer trees of sporadic groups</i>,
<span class='BibPublisher'>The Clarendon Press, Oxford University Press</span>,
<span class='BibSeries'>Oxford Science Publications</span>,
<span class='BibAddress'>New York</span>
(<span class='BibYear'>1989</span>),
<span class='BibPages'>x+526 pages</span>.
</p>
<p><a id="biBHL94" name="biBHL94"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1278806">HL94</a></span>] <b class='BibAuthor'>Hiss, G. and Lux, K.</b>,
<a href="http://dx.doi.org/10.1080/00927879408825042"><i class='BibTitle'>The 5-modular characters of the sporadic simple
Fischer
groups Fi_{22} and Fi_{23}</i></a>,
<span class='BibJournal'>Comm. Algebra</span>,
<em class='BibVolume'>22</em> (<span class='BibNumber'>9</span>)
(<span class='BibYear'>1994</span>),
<span class='BibPages'>3563–3590</span><br />
(<span class='BibNote'>With an appendix by Thomas Breuer</span>).
</p>
<p><a id="biBcohomolo" name="biBcohomolo"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Hol08</span>] <b class='BibAuthor'>Holt, D.</b>,
<i class='BibTitle'><strong class='pkg'>cohomolo</strong>,
computing cohomology groups and Schur multipliers,
Version 1.6</i>
(<span class='BibYear'>2008</span>)<br />
(<span class='BibNote'><strong class='pkg'>GAP</strong> package</span>),
<span class='BibHowpublished'><a href="http://www.maths.warwick.ac.uk/~dfh/cohomolo">http://www.maths.warwick.ac.uk/~dfh/cohomolo</a></span>.
</p>
<p><a id="biBHP89" name="biBHP89"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1025760">HP89</a></span>] <b class='BibAuthor'>Holt, D. F. and Plesken, W.</b>,
<i class='BibTitle'>Perfect groups</i>,
<span class='BibPublisher'>The Clarendon Press Oxford University Press</span>,
<span class='BibSeries'>Oxford Mathematical Monographs</span>,
<span class='BibAddress'>New York</span>
(<span class='BibYear'>1989</span>),
<span class='BibPages'>xii+364 pages</span><br />
(<span class='BibNote'>With an appendix by W. Hanrath,
Oxford Science Publications</span>).
</p>
<p><a id="biBHulpkeTG" name="biBHulpkeTG"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=2168238">Hul05</a></span>] <b class='BibAuthor'>Hulpke, A.</b>,
<i class='BibTitle'>Constructing transitive permutation groups</i>,
<span class='BibJournal'>J. Symbolic Comput.</span>,
<em class='BibVolume'>39</em> (<span class='BibNumber'>1</span>)
(<span class='BibYear'>2005</span>),
<span class='BibPages'>1–30</span>.
</p>
<p><a id="biBHup67" name="biBHup67"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=0224703">Hup67</a></span>] <b class='BibAuthor'>Huppert, B.</b>,
<i class='BibTitle'>Endliche Gruppen. I</i>,
<span class='BibPublisher'>Springer-Verlag</span>,
<span class='BibSeries'>Die Grundlehren der Mathematischen Wissenschaften, Band 134</span>,
<span class='BibAddress'>Berlin</span>
(<span class='BibYear'>1967</span>),
<span class='BibPages'>xii+793 pages</span>.
</p>
<p><a id="biBHW04" name="biBHW04"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=2025332">HW04</a></span>] <b class='BibAuthor'>Holmes, P. E. and Wilson, R. A.</b>,
<a href="http://dx.doi.org/10.1112/S0024610703004915"><i class='BibTitle'>PSL_2(59) is a subgroup of the Monster</i></a>,
<span class='BibJournal'>J. London Math. Soc.</span>,
<em class='BibVolume'>69</em> (<span class='BibNumber'>1</span>)
(<span class='BibYear'>2004</span>),
<span class='BibPages'>141–152</span>.
</p>
<p><a id="biBHW08" name="biBHW08"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=2397402">HW08</a></span>] <b class='BibAuthor'>Holmes, P. E. and Wilson, R. A.</b>,
<a href="http://dx.doi.org/10.1016/j.jalgebra.2003.11.014"><i class='BibTitle'>On subgroups of the Monster containing A_5's</i></a>,
<span class='BibJournal'>J. Algebra</span>,
<em class='BibVolume'>319</em> (<span class='BibNumber'>7</span>)
(<span class='BibYear'>2008</span>),
<span class='BibPages'>2653–2667</span>.
</p>
<p><a id="biBIsa76" name="biBIsa76"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=0460423">Isa76</a></span>] <b class='BibAuthor'>Isaacs, I. M.</b>,
<i class='BibTitle'>Character theory of finite groups</i>,
<span class='BibPublisher'>Academic Press [Harcourt Brace Jovanovich Publishers]</span>,
<span class='BibAddress'>New York</span>
(<span class='BibYear'>1976</span>),
<span class='BibPages'>xii+303 pages</span><br />
(<span class='BibNote'>Pure and Applied Mathematics, No. 69</span>).
</p>
<p><a id="biBJLPW95" name="biBJLPW95"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1367961">JLPW95</a></span>] <b class='BibAuthor'>Jansen, C., Lux, K., Parker, R. and Wilson, R.</b>,
<i class='BibTitle'>An atlas of Brauer characters</i>,
<span class='BibPublisher'>The Clarendon Press Oxford University Press</span>,
<span class='BibSeries'>London Mathematical Society Monographs. New Series</span>,
<em class='BibVolume'>11</em>,
<span class='BibAddress'>New York</span>
(<span class='BibYear'>1995</span>),
<span class='BibPages'>xviii+327 pages</span><br />
(<span class='BibNote'>Appendix 2 by T. Breuer and S. Norton,
Oxford Science Publications</span>).
</p>
<p><a id="biBKlL90" name="biBKlL90"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1057341">KL90</a></span>] <b class='BibAuthor'>Kleidman, P. and Liebeck, M.</b>,
<a href="http://dx.doi.org/10.1017/CBO9780511629235"><i class='BibTitle'>The subgroup structure of the finite classical groups</i></a>,
<span class='BibPublisher'>Cambridge University Press</span>,
<span class='BibSeries'>London Mathematical Society Lecture Note Series</span>,
<em class='BibVolume'>129</em>,
<span class='BibAddress'>Cambridge</span>
(<span class='BibYear'>1990</span>),
<span class='BibPages'>x+303 pages</span>.
</p>
<p><a id="biBKle87" name="biBKle87"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=904187">Kle87</a></span>] <b class='BibAuthor'>Kleidman, P. B.</b>,
<a href="http://dx.doi.org/10.1016/0021-8693(87)90042-1"><i class='BibTitle'>The maximal subgroups of the finite 8-dimensional
orthogonal groups PΩ^+_8(q) and of their
automorphism groups</i></a>,
<span class='BibJournal'>J. Algebra</span>,
<em class='BibVolume'>110</em> (<span class='BibNumber'>1</span>)
(<span class='BibYear'>1987</span>),
<span class='BibPages'>173–242</span>.
</p>
<p><a id="biBLP10" name="biBLP10"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=2680716">LP10</a></span>] <b class='BibAuthor'>Lux, K. and Pahlings, H.</b>,
<i class='BibTitle'>Representations of groups</i>,
<span class='BibPublisher'>Cambridge University Press</span>,
<span class='BibSeries'>Cambridge Studies in Advanced Mathematics</span>,
<em class='BibVolume'>124</em>,
<span class='BibAddress'>Cambridge</span>
(<span class='BibYear'>2010</span>),
<span class='BibPages'>x+460 pages</span><br />
(<span class='BibNote'>A computational approach</span>).
</p>
<p><a id="biBLW91" name="biBLW91"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1105720">LW91</a></span>] <b class='BibAuthor'>Linton, S. A. and Wilson, R. A.</b>,
<a href="http://dx.doi.org/10.1112/plms/s3-63.1.113"><i class='BibTitle'>The maximal subgroups of the Fischer groups Fi_{24} and Fi'_{24}</i></a>,
<span class='BibJournal'>Proc. London Math. Soc. (3)</span>,
<em class='BibVolume'>63</em> (<span class='BibNumber'>1</span>)
(<span class='BibYear'>1991</span>),
<span class='BibPages'>113–164</span>.
</p>
<p><a id="biBTomLib" name="biBTomLib"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>MNP19</span>] <b class='BibAuthor'>Merkwitz, T., Naughton, L. and Pfeiffer, G.</b>,
<i class='BibTitle'>TomLib, The GAP Library of Tables of Marks,
Version 1.2.9</i>
(<span class='BibYear'>2019</span>)<br />
(<span class='BibNote'>GAP package</span>),
<span class='BibHowpublished'><a href="https://gap-packages.github.io/tomlib">https://gap-packages.github.io/tomlib</a></span>.
</p>
<p><a id="biBMSW94" name="biBMSW94"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1261575">MSW94</a></span>] <b class='BibAuthor'>Malle, G., Saxl, J. and Weigel, T.</b>,
<a href="http://dx.doi.org/10.1007/BF01263536"><i class='BibTitle'>Generation of classical groups</i></a>,
<span class='BibJournal'>Geom. Dedicata</span>,
<em class='BibVolume'>49</em> (<span class='BibNumber'>1</span>)
(<span class='BibYear'>1994</span>),
<span class='BibPages'>85–116</span>.
</p>
<p><a id="biBNav98" name="biBNav98"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1632299">Nav98</a></span>] <b class='BibAuthor'>Navarro, G.</b>,
<a href="http://dx.doi.org/10.1017/CBO9780511526015"><i class='BibTitle'>Characters and blocks of finite groups</i></a>,
<span class='BibPublisher'>Cambridge University Press</span>,
<span class='BibSeries'>London Mathematical Society Lecture Note Series</span>,
<em class='BibVolume'>250</em>,
<span class='BibAddress'>Cambridge</span>
(<span class='BibYear'>1998</span>),
<span class='BibPages'>x+287 pages</span>.
</p>
<p><a id="biBAtlasImpII" name="biBAtlasImpII"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Nor</span>] <b class='BibAuthor'>Norton, S. P.</b>,
<i class='BibTitle'>Improvements to the ATLAS–II</i>,
<span class='BibHowpublished'><a href="http://brauer.maths.qmul.ac.uk/Atlas/info/fullatlasmods.html">http://brauer.maths.qmul.ac.uk/Atlas/info/fullatlasmods.html</a></span>.
</p>
<p><a id="biBNPP84" name="biBNPP84"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=760658">NPP84</a></span>] <b class='BibAuthor'>Neubüser, J., Pahlings, H. and Plesken, W.</b> (<span class='BibEditor'>Atkinson, M. D.</span>, Ed.),
<i class='BibTitle'>CAS; design and use of a system for the handling of
characters of finite groups</i>,
in <i class='BibBooktitle'>Computational group theory (Durham, 1982)</i>,
<span class='BibPublisher'>Academic Press</span>,
<span class='BibAddress'>London</span>
(<span class='BibYear'>1984</span>),
<span class='BibPages'>195–247</span>.
</p>
<p><a id="biBNR14" name="biBNR14"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=3225128">NR14</a></span>] <b class='BibAuthor'>Navarro, G. and Rizo, N.</b>,
<a href="http://dx.doi.org/10.1142/S0219498814500613"><i class='BibTitle'>Nilpotent and perfect groups with the same set of character
degrees</i></a>,
<span class='BibJournal'>J. Algebra Appl.</span>,
<em class='BibVolume'>13</em> (<span class='BibNumber'>8</span>)
(<span class='BibYear'>2014</span>),
<span class='BibPages'>1450061, 3</span>.
</p>
<p><a id="biBNW02" name="biBNW02"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1888424">NW02</a></span>] <b class='BibAuthor'>Norton, S. P. and Wilson, R. A.</b>,
<a href="http://dx.doi.org/10.1112/S0024611502013357"><i class='BibTitle'>Anatomy of the Monster. II</i></a>,
<span class='BibJournal'>Proc. London Math. Soc. (3)</span>,
<em class='BibVolume'>84</em> (<span class='BibNumber'>3</span>)
(<span class='BibYear'>2002</span>),
<span class='BibPages'>581–598</span>.
</p>
<p><a id="biBNW12" name="biBNW12"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=3073684">NW13</a></span>] <b class='BibAuthor'>Norton, S. P. and Wilson, R. A.</b>,
<a href="https://doi.org/10.1112/jlms/jds078"><i class='BibTitle'>A correction to the 41-structure of the Monster,
a construction of a new maximal subgroup L_2(41)
and a new Moonshine phenomenon</i></a>,
<span class='BibJournal'>J. Lond. Math. Soc. (2)</span>,
<em class='BibVolume'>87</em> (<span class='BibNumber'>3</span>)
(<span class='BibYear'>2013</span>),
<span class='BibPages'>943–962</span>.
</p>
<p><a id="biBOst86" name="biBOst86"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=872094">Ost86</a></span>] <b class='BibAuthor'>Ostermann, T.</b>,
<i class='BibTitle'>Charaktertafeln von Sylownormalisatoren sporadischer
einfacher Gruppen</i>,
<span class='BibOrganization'>Universität Essen</span>,
<span class='BibPublisher'>Universität Essen Fachbereich Mathematik</span>,
<span class='BibSeries'>Vorlesungen aus dem Fachbereich Mathematik der
Universität
GH Essen [Lecture Notes in Mathematics at the University of
Essen]</span>,
<em class='BibVolume'>14</em>,
<span class='BibAddress'>Essen</span>
(<span class='BibYear'>1986</span>),
<span class='BibPages'>x+187 pages</span>.
</p>
<p><a id="biBVdo00" name="biBVdo00"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1805754">Vdo00</a></span>] <b class='BibAuthor'>Vdovin, E. P.</b>,
<a href="http://dx.doi.org/10.1007/BF02681614"><i class='BibTitle'>Large nilpotent subgroups of finite simple groups</i></a>,
<span class='BibJournal'>Algebra Log.</span>,
<em class='BibVolume'>39</em> (<span class='BibNumber'>5</span>)
(<span class='BibYear'>2000</span>),
<span class='BibPages'>526–546, 630</span>.
</p>
<p><a id="biBMmaxes" name="biBMmaxes"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Wil</span>] <b class='BibAuthor'>Wilson, R. A.</b>,
<i class='BibTitle'>ATLAS: Monster group M</i>,
<span class='BibHowpublished'><a href="http://brauer.maths.qmul.ac.uk/Atlas/spor/M">http://brauer.maths.qmul.ac.uk/Atlas/spor/M</a></span>.
</p>
<p><a id="biBWil93a" name="biBWil93a"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1254061">Wil93a</a></span>] <b class='BibAuthor'>Wilson, R. A.</b>,
<i class='BibTitle'>More on maximal subgroups of the Baby Monster</i>,
<span class='BibJournal'>Arch. Math. (Basel)</span>,
<em class='BibVolume'>61</em> (<span class='BibNumber'>6</span>)
(<span class='BibYear'>1993</span>),
<span class='BibPages'>497–507</span>.
</p>
<p><a id="biBWilson93" name="biBWilson93"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1190359">Wil93b</a></span>] <b class='BibAuthor'>Wilson, R. A.</b>,
<a href="http://dx.doi.org/10.1112/blms/25.1.23"><i class='BibTitle'>Some new subgroups of the Baby Monster</i></a>,
<span class='BibJournal'>Bull. London Math. Soc.</span>,
<em class='BibVolume'>25</em> (<span class='BibNumber'>1</span>)
(<span class='BibYear'>1993</span>),
<span class='BibPages'>23–28</span>.
</p>
<p><a id="biBWil98" name="biBWil98"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1643110">Wil98</a></span>] <b class='BibAuthor'>Wilson, R. A.</b>,
<a href="http://dx.doi.org/10.1006/jabr.1998.7450"><i class='BibTitle'>The McKay conjecture is true for the sporadic simple
groups</i></a>,
<span class='BibJournal'>J. Algebra</span>,
<em class='BibVolume'>207</em> (<span class='BibNumber'>1</span>)
(<span class='BibYear'>1998</span>),
<span class='BibPages'>294–305</span>.
</p>
<p><a id="biBWil99" name="biBWil99"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1656568">Wil99</a></span>] <b class='BibAuthor'>Wilson, R. A.</b>,
<a href="http://dx.doi.org/10.1006/jabr.1998.7601"><i class='BibTitle'>The maximal subgroups of the Baby Monster.
I</i></a>,
<span class='BibJournal'>J. Algebra</span>,
<em class='BibVolume'>211</em> (<span class='BibNumber'>1</span>)
(<span class='BibYear'>1999</span>),
<span class='BibPages'>1–14</span>.
</p>
<p><a id="biBWil10" name="biBWil10"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=2681789">Wil10</a></span>] <b class='BibAuthor'>Wilson, R. A.</b>,
<i class='BibTitle'>New computations in the Monster</i>,
in <i class='BibBooktitle'>Moonshine: the first quarter century and beyond</i>,
<span class='BibPublisher'>Cambridge Univ. Press</span>,
<span class='BibSeries'>London Math. Soc. Lecture Note Ser.</span>,
<em class='BibVolume'>372</em>,
<span class='BibAddress'>Cambridge</span>
(<span class='BibYear'>2010</span>),
<span class='BibPages'>393–403</span>.
</p>
<p><a id="biBAtlasRep" name="biBAtlasRep"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>WPN+22</span>] <b class='BibAuthor'>Wilson, R. A., Parker, R. A., Nickerson, S., Bray, J. N. and Breuer, T.</b>,
<i class='BibTitle'>AtlasRep, A <strong class='pkg'>GAP</strong> Interface
to the Atlas of Group Representations,
Version 2.1.6</i>
(<span class='BibYear'>2022</span>)<br />
(<span class='BibNote'><strong class='pkg'>GAP</strong> package</span>),
<span class='BibHowpublished'><a href="https://www.math.rwth-aachen.de/~Thomas.Breuer/atlasrep">https://www.math.rwth-aachen.de/~Thomas.Breuer/atlasrep</a></span>.
</p>
<p><a id="biBAGRv3" name="biBAGRv3"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>WWT+</span>] <b class='BibAuthor'>Wilson, R. A., Walsh, P., Tripp, J., Suleiman, I., Parker, R. A., Norton, S. P., Nickerson, S., Linton, S., Bray, J. and Abbott, R.</b>,
<i class='BibTitle'>ATLAS of Finite Group Representations</i>,
<span class='BibHowpublished'><a href="http://brauer.maths.qmul.ac.uk/Atlas/v3">http://brauer.maths.qmul.ac.uk/Atlas/v3</a></span>.
</p>
<p> </p>
<div class="chlinkprevnextbot"> <a href="chap0.html">[Top of Book]</a> <a href="chap0.html#contents">[Contents]</a> <a href="chap11.html">[Previous Chapter]</a> <a href="chapInd.html">[Next Chapter]</a> </div>
<div class="chlinkbot"><span class="chlink1">Goto Chapter: </span><a href="chap0.html">Top</a> <a href="chap1.html">1</a> <a href="chap2.html">2</a> <a href="chap3.html">3</a> <a href="chap4.html">4</a> <a href="chap5.html">5</a> <a href="chap6.html">6</a> <a href="chap7.html">7</a> <a href="chap8.html">8</a> <a href="chap9.html">9</a> <a href="chap10.html">10</a> <a href="chap11.html">11</a> <a href="chapBib.html">Bib</a> <a href="chapInd.html">Ind</a> </div>
<hr />
<p class="foot">generated by <a href="https://www.math.rwth-aachen.de/~Frank.Luebeck/GAPDoc">GAPDoc2HTML</a></p>
</body>
</html>
|
