805:
783:
51:
583:
296:
that concerns the question of bounding the size of a group if there are fixed bounds both on the order of all of its elements and the number of elements needed to generate it, and also for
237:. While this was a little outside the main centres of British mathematical research, Burnside remained a very active researcher, publishing more than 150 papers in his career.
330:
In addition to his mathematical work, Burnside was a noted rower. While he was a lecturer at
Cambridge, he also coached the rowing crew team. In fact, his obituary in
1311:
285:
was published. The second edition (pub. 1911) was for many decades the standard work in the field. A major difference between the editions was the inclusion of
308:
acting on a set with the number of fixed points of each of its elements) though the latter had been discovered earlier and independently by
Frobenius and
1301:
1296:
1306:
867:
414:. Vol. 1: Commentary on Burnside's life and work, papers 1883–1899, Volume 2: Papers 1900–1926. Clarendon Press/Oxford University Press.
1286:
1281:
386:. Cambridge University Press; reprint of 1928 first edition, based on a manuscript almost completed by Burnside shortly before his death
553:
662:
904:
825:
301:
131:
1326:
723:
482:
451:
419:
267:, who began his research in the subject during the 1890s. One of Burnside's best known contributions to group theory is his
248:
in 1893, though it is little remembered today. Around the same time as his election his interests turned to the study of
229:) in 1875. He lectured at Cambridge for the following ten years, before being appointed professor of mathematics at the
860:
263:, where he helped to develop some of the foundational theory, complementing, and sometimes competing with, the work of
645:
210:
101:
1048:
920:
467:
435:
397:
369:
256:
in the late 19th century, and it took some years for his research in this area to gain widespread recognition.
230:
336:
took more interest in his athletic career, calling him "one of the best known
Cambridge athletes of his day".
1331:
853:
840:
715:
1316:
20:
1200:
214:
105:
1000:
787:
274:, which shows that every finite group whose order is divisible by fewer than three distinct primes is
1321:
1072:
737:
264:
1291:
830:
820:
638:
The
Collected Papers of William Burnside: Commentary on Burnside's life and work; Papers 1883–1899
604:
1032:
218:
896:
549:
1136:
1056:
293:
268:
1276:
1271:
1232:
1224:
1008:
733:
324:
260:
206:
1176:
782:
8:
816:
509:
297:
241:
175:
115:
29:
461:
429:
391:
363:
316:
1064:
952:
800:
767:
719:
705:
641:
478:
447:
415:
381:
305:
686:
534:
513:
1216:
1160:
1016:
809:
762:
681:
608:
565:
529:
405:
286:
244:. This work was of sufficient distinction to merit his election as a fellow of the
141:
127:
119:
353:
1112:
1024:
936:
876:
729:
709:
409:
309:
226:
222:
148:
796:
404:
1240:
1144:
1088:
992:
747:
377:
275:
28:
This
English mathematician is sometimes confused with the Irish mathematician
1265:
1208:
1168:
1128:
1040:
888:
743:
600:
569:
253:
245:
191:
123:
836:
1248:
1192:
1184:
1080:
984:
340:
249:
195:
90:
1120:
1104:
976:
960:
944:
912:
711:
Pioneers of
Representation Theory: Frobenius, Burnside, Schur, and Brauer
155:
636:
Burnside, W. (2004). Neumann, P.M.; Mann, A.J.S.; Tompson, J.C. (eds.).
1152:
1096:
845:
791:
968:
332:
234:
259:
The central part of
Burnside's group theory work was in the area of
202:
50:
358:(2nd ed.). Cambridge University Press. 1911; xxiv+512 p.
320:
194:. He is known mostly as an early researcher in the theory of
640:. Vol. 1. Oxford University Press. p. 106.
625:. No. 36493. London. 28 June 1901. p. 10.
292:Burnside is also remembered for the formulation of
660:
408:; Mann, A. J. S.; Tompson, Julia C., eds. (2004).
814:
1263:
748:"A bibliography of William Burnside (1852–1927)"
1312:Academics of the Royal Naval College, Greenwich
742:
376:
190:(2 July 1852 – 21 August 1927) was an English
861:
548:
508:
714:, History of Mathematics, Providence, R.I.:
635:
252:. This was not a widely studied subject in
868:
854:
558:Journal of the London Mathematical Society
49:
19:For the Captain America of the 1950s, see
766:
685:
533:
875:
582:
504:
502:
472:
441:
411:The collected papers of William Burnside
826:MacTutor History of Mathematics Archive
1302:Alumni of St John's College, Cambridge
1264:
704:
1307:Alumni of Pembroke College, Cambridge
849:
499:
1297:People educated at Christ's Hospital
132:Burnside normal p-complement theorem
1287:20th-century English mathematicians
1282:19th-century English mathematicians
13:
806:Works by or about William Burnside
300:(a formula relating the number of
14:
1343:
775:
240:Burnside's early research was in
781:
605:Theory of Groups of Finite Order
516:Theory of Groups of Finite Order
355:Theory of groups of finite order
283:Theory of Groups of Finite Order
281:In 1897 Burnside's classic work
687:10.1090/s0002-9904-1929-04764-5
535:10.1090/S0002-9904-1900-00734-8
343:Parish Church in South London.
654:
629:
614:
594:
584:"Burnside, William (BNSD871W)"
576:
542:
205:in 1852. He went to school at
1:
841:Mathematics Genealogy Project
716:American Mathematical Society
698:
1327:Fellows of the Royal Society
768:10.1016/0315-0860(78)90116-7
746:; Mosenthal, Verity (1978),
424:; 1584 pages in 2-volume set
102:St John's College, Cambridge
21:William Burnside (character)
7:
661:Dodd, Edward Lewis (1929).
621:"University intelligence".
588:A Cambridge Alumni Database
106:Pembroke College, Cambridge
10:
1348:
590:. University of Cambridge.
473:Burnside, William (2004).
466:: CS1 maint: postscript (
442:Burnside, William (2004).
434:: CS1 maint: postscript (
396:: CS1 maint: postscript (
368:: CS1 maint: postscript (
18:
883:
797:Works by William Burnside
475:Vol. 2 (as separate book)
444:Vol. 1 (as separate book)
265:Ferdinand Georg Frobenius
181:
171:
164:
137:
111:
97:
79:
60:
48:
41:
831:University of St Andrews
492:
346:
209:until 1871 and attended
219:University of Cambridge
897:James Joseph Sylvester
570:10.1112/jlms/s1-3.1.64
456:; 788 pages in vol. 1.
1057:George Neville Watson
674:Bull. Amer. Math. Soc
665:Theory of Probability
522:Bull. Amer. Math. Soc
383:Theory of probability
261:group representations
201:Burnside was born in
16:English mathematician
1332:De Morgan Medallists
1233:John Griggs Thompson
1225:Keith William Morton
1009:Godfrey Harold Hardy
877:De Morgan Medallists
817:Robertson, Edmund F.
755:Historia Mathematica
667:by William Burnside"
339:He is buried at the
325:University of Dublin
1317:Royal Medal winners
815:O'Connor, John J.;
242:applied mathematics
231:Royal Naval College
221:, where he was the
176:Finite group theory
30:William S. Burnside
821:"William Burnside"
786:Works by or about
706:Curtis, Charles W.
554:"William Burnside"
317:honorary doctorate
294:Burnside's problem
1259:
1258:
1177:Albrecht Fröhlich
1137:C. Ambrose Rogers
1065:A. S. Besicovitch
953:J. W. L. Glaisher
801:Project Gutenberg
725:978-0-8218-2677-5
484:978-0-19-850587-7
453:978-0-19-850586-0
421:978-0-19-850585-3
406:Neumann, Peter M.
306:permutation group
215:Pembroke Colleges
207:Christ's Hospital
185:
184:
166:Scientific career
146:
1339:
1322:Second Wranglers
1252:
1244:
1236:
1228:
1220:
1217:Bryan John Birch
1212:
1204:
1196:
1188:
1180:
1172:
1164:
1161:J. W. S. Cassels
1156:
1148:
1140:
1132:
1124:
1116:
1108:
1100:
1092:
1084:
1076:
1073:E. C. Titchmarsh
1068:
1060:
1052:
1044:
1036:
1033:J. E. Littlewood
1028:
1020:
1017:Bertrand Russell
1012:
1004:
996:
988:
980:
972:
964:
956:
948:
940:
932:
929:William Burnside
924:
916:
908:
900:
892:
870:
863:
856:
847:
846:
837:William Burnside
833:
810:Internet Archive
788:William Burnside
785:
771:
770:
752:
736:
692:
691:
689:
671:
658:
652:
651:
633:
627:
626:
618:
612:
611:88:170,1 (#2197)
598:
592:
591:
580:
574:
573:
546:
540:
539:
537:
506:
488:
471:
465:
457:
439:
433:
425:
401:
395:
387:
373:
367:
359:
298:Burnside's lemma
287:character theory
225:(bracketed with
188:William Burnside
160:
153:
144:
128:Burnside theorem
120:Burnside problem
116:Burnside's lemma
86:
70:
68:
55:William Burnside
53:
43:William Burnside
39:
38:
1347:
1346:
1342:
1341:
1340:
1338:
1337:
1336:
1292:Group theorists
1262:
1261:
1260:
1255:
1247:
1239:
1231:
1223:
1215:
1207:
1199:
1191:
1183:
1175:
1167:
1159:
1151:
1143:
1135:
1127:
1119:
1113:Mary Cartwright
1111:
1103:
1095:
1087:
1079:
1071:
1063:
1055:
1047:
1039:
1031:
1025:E. T. Whittaker
1023:
1015:
1007:
999:
991:
983:
975:
967:
959:
951:
943:
937:A. G. Greenhill
935:
927:
919:
911:
903:
895:
887:
879:
874:
778:
750:
726:
701:
696:
695:
669:
659:
655:
648:
634:
630:
620:
619:
615:
599:
595:
581:
577:
547:
543:
507:
500:
495:
485:
459:
458:
454:
427:
426:
422:
389:
388:
361:
360:
352:
349:
315:He received an
310:Augustin Cauchy
289:in the second.
227:George Chrystal
223:Second Wrangler
158:
154:
151:
149:De Morgan Medal
147:
130:
126:
122:
118:
98:Alma mater
93:
88:
84:
75:
74:London, England
72:
66:
64:
56:
44:
24:
17:
12:
11:
5:
1345:
1335:
1334:
1329:
1324:
1319:
1314:
1309:
1304:
1299:
1294:
1289:
1284:
1279:
1274:
1257:
1256:
1254:
1253:
1245:
1241:Timothy Gowers
1237:
1229:
1221:
1213:
1205:
1197:
1189:
1181:
1173:
1165:
1157:
1149:
1145:Michael Atiyah
1141:
1133:
1125:
1117:
1109:
1101:
1093:
1089:W. V. D. Hodge
1085:
1077:
1069:
1061:
1053:
1049:Sydney Chapman
1045:
1037:
1029:
1021:
1013:
1005:
997:
993:P. A. MacMahon
989:
981:
973:
965:
957:
949:
941:
933:
925:
917:
909:
901:
893:
884:
881:
880:
873:
872:
865:
858:
850:
844:
843:
834:
812:
803:
794:
777:
776:External links
774:
773:
772:
761:(3): 307–312,
744:Wagner, Ascher
740:
724:
700:
697:
694:
693:
680:(3): 410–411.
653:
646:
628:
613:
593:
575:
541:
528:(9): 390–398.
497:
496:
494:
491:
490:
489:
483:
452:
420:
402:
380:, ed. (1936).
378:Forsyth, A. R.
374:
348:
345:
327:in June 1901.
183:
182:
179:
178:
173:
169:
168:
162:
161:
139:
135:
134:
113:
112:Known for
109:
108:
99:
95:
94:
89:
87:(aged 75)
83:21 August 1927
81:
77:
76:
73:
62:
58:
57:
54:
46:
45:
42:
35:
34:
15:
9:
6:
4:
3:
2:
1344:
1333:
1330:
1328:
1325:
1323:
1320:
1318:
1315:
1313:
1310:
1308:
1305:
1303:
1300:
1298:
1295:
1293:
1290:
1288:
1285:
1283:
1280:
1278:
1275:
1273:
1270:
1269:
1267:
1250:
1246:
1242:
1238:
1234:
1230:
1226:
1222:
1218:
1214:
1210:
1209:Roger Penrose
1206:
1202:
1198:
1194:
1190:
1186:
1182:
1178:
1174:
1170:
1169:D. G. Kendall
1166:
1162:
1158:
1154:
1150:
1146:
1142:
1138:
1134:
1130:
1129:Graham Higman
1126:
1122:
1118:
1114:
1110:
1106:
1102:
1098:
1094:
1090:
1086:
1082:
1078:
1074:
1070:
1066:
1062:
1058:
1054:
1050:
1046:
1042:
1041:Louis Mordell
1038:
1034:
1030:
1026:
1022:
1018:
1014:
1010:
1006:
1002:
1001:A. E. H. Love
998:
994:
990:
986:
982:
978:
974:
970:
966:
962:
958:
954:
950:
946:
942:
938:
934:
930:
926:
922:
918:
914:
910:
906:
905:Lord Rayleigh
902:
898:
894:
890:
889:Arthur Cayley
886:
885:
882:
878:
871:
866:
864:
859:
857:
852:
851:
848:
842:
838:
835:
832:
828:
827:
822:
818:
813:
811:
807:
804:
802:
798:
795:
793:
789:
784:
780:
779:
769:
764:
760:
756:
749:
745:
741:
739:
735:
731:
727:
721:
717:
713:
712:
707:
703:
702:
688:
683:
679:
675:
668:
666:
657:
649:
647:9780198505860
643:
639:
632:
624:
617:
610:
606:
602:
601:G. B. Mathews
597:
589:
585:
579:
571:
567:
563:
559:
555:
551:
550:Forsyth A. R.
545:
536:
531:
527:
523:
519:
517:
511:
510:Miller, G. A.
505:
503:
498:
486:
480:
476:
469:
463:
455:
449:
445:
437:
431:
423:
417:
413:
412:
407:
403:
399:
393:
385:
384:
379:
375:
371:
365:
357:
356:
351:
350:
344:
342:
337:
335:
334:
328:
326:
322:
318:
313:
311:
307:
303:
299:
295:
290:
288:
284:
279:
277:
273:
271:
266:
262:
257:
255:
251:
250:finite groups
247:
246:Royal Society
243:
238:
236:
232:
228:
224:
220:
216:
212:
208:
204:
199:
197:
196:finite groups
193:
192:mathematician
189:
180:
177:
174:
170:
167:
163:
157:
150:
143:
142:Smith's Prize
140:
136:
133:
129:
125:
124:Burnside ring
121:
117:
114:
110:
107:
103:
100:
96:
92:
82:
78:
63:
59:
52:
47:
40:
37:
33:
31:
26:
25:
22:
1249:Andrew Wiles
1193:R. A. Rankin
1185:W. K. Hayman
1081:G. I. Taylor
985:E. W. Hobson
928:
824:
758:
754:
710:
677:
673:
664:
656:
637:
631:
622:
616:
596:
587:
578:
564:(1): 64–80.
561:
557:
544:
525:
521:
518:by Burnside"
515:
474:
443:
410:
382:
354:
341:West Wickham
338:
331:
329:
314:
291:
282:
280:
269:
258:
239:
200:
187:
186:
165:
91:West Wickham
85:(1927-08-21)
36:
32:(1839–1920).
27:
1277:1927 deaths
1272:1852 births
1201:J. A. Green
1121:Kurt Mahler
1105:Philip Hall
977:W. H. Young
961:Horace Lamb
945:H. F. Baker
913:Felix Klein
323:) from the
156:Royal Medal
71:2 July 1852
1266:Categories
1153:K. F. Roth
1097:Max Newman
921:S. Roberts
792:Wikisource
699:References
211:St. John's
67:1852-07-02
969:J. Larmor
663:"Review:
623:The Times
514:"Review:
462:cite book
430:cite book
392:cite book
364:cite book
333:The Times
235:Greenwich
708:(2003),
552:(1928).
512:(1900).
276:solvable
839:at the
808:at the
734:1715145
603:(1911)
272:theorem
254:Britain
217:at the
1251:(2019)
1243:(2016)
1235:(2013)
1227:(2010)
1219:(2007)
1211:(2004)
1203:(2001)
1195:(1998)
1187:(1995)
1179:(1992)
1171:(1989)
1163:(1986)
1155:(1983)
1147:(1980)
1139:(1977)
1131:(1974)
1123:(1971)
1115:(1968)
1107:(1965)
1099:(1962)
1091:(1959)
1083:(1956)
1075:(1953)
1067:(1950)
1059:(1947)
1051:(1944)
1043:(1941)
1035:(1938)
1027:(1935)
1019:(1932)
1011:(1929)
1003:(1926)
995:(1923)
987:(1920)
979:(1917)
971:(1914)
963:(1911)
955:(1908)
947:(1905)
939:(1902)
931:(1899)
923:(1896)
915:(1893)
907:(1890)
899:(1887)
891:(1884)
738:Review
732:
722:
644:
609:Nature
481:
450:
418:
302:orbits
203:London
172:Fields
159:(1904)
152:(1899)
145:(1875)
138:Awards
751:(PDF)
670:(PDF)
607:from
493:Notes
347:Books
321:D.Sc.
304:of a
720:ISBN
642:ISBN
479:ISBN
468:link
448:ISBN
436:link
416:ISBN
398:link
370:link
213:and
104:and
80:Died
61:Born
799:at
790:at
763:doi
682:doi
566:doi
530:doi
233:in
1268::
829:,
823:,
819:,
757:,
753:,
730:MR
728:,
718:,
678:35
676:.
672:.
586:.
560:.
556:.
524:.
520:.
501:^
477:.
464:}}
460:{{
446:.
440:;
432:}}
428:{{
394:}}
390:{{
366:}}
362:{{
312:.
278:.
270:pq
198:.
869:e
862:t
855:v
765::
759:5
690:.
684::
650:.
572:.
568::
562:1
538:.
532::
526:6
487:.
470:)
438:)
400:)
372:)
319:(
69:)
65:(
23:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
