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n-dimensional space. As it turns out, such extension of the system of real numbers requires the concession of some of the usual axioms (Weierstrass 1863). The selection of rules of computation, which cannot be avoided in hypercomplex numbers, naturally allows some choice. Yet in any cases set out, the resulting number systems allow a unique theory with regard to their structural properties and their classification. Further, one desires that these theories stand in close connection with other areas of mathematics, wherewith the possibility of their applications is given.
39:
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1008:. Accessed February 25, 2013. "Schur's disciple Alfred Brauer was the last Jewish mathematician who managed to complete his habilitation and become Privatdozent at the University of Berlin before the Nazi regime began. Brauer escaped to the USA in 1939, joining his brother Richard (1901–1977) who had fled in 1933."
761:
in 1908. By the 1930s there was evident need to update Study’s article, and Brauer was commissioned to write on the topic for the project. As it turned out, when Brauer had his manuscript prepared in
Toronto in 1936, though it was accepted for publication, politics and war intervened. Nevertheless,
778:
In the beginning of the 19th century, the usual complex numbers and their introduction through computations with number-pairs or points in the plane, became a general tool of mathematicians. Naturally the question arose whether or not a similar "hypercomplex" number can be defined using points of
774:. His title was "Algebra der hyperkomplexen Zahlensysteme (Algebren)". Unlike the articles by Study and Cartan, which were exploratory, Brauer’s article reads as a modern abstract algebra text with its universal coverage. Consider his introduction:
444:
Ilse Karger also studied mathematics at the
University of Berlin; she and Brauer were married 17 September 1925. Their sons George Ulrich (born 1927) and Fred Gunther (born 1932) also became mathematicians. Brauer began his teaching career in
408:
was
Richard's brother and seven years older. They were born to a Jewish family. Both were interested in science and mathematics, but Alfred was injured in combat in World War I. As a boy, Richard dreamt of becoming an
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Sylow 2-subgroups. The methods developed by Brauer were also instrumental in contributions by others to the classification program: for example, the
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conducted a seminar and posed a problem in 1921 that Alfred and
Richard worked on together, and published a result. The problem also was solved by
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at the same time. Richard wrote his thesis under Schur, providing an algebraic approach to irreducible, continuous, finite-dimensional
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took action to help Brauer and other Jewish scientists. Brauer was offered an assistant professorship at
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1933:
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658:. These methods were particularly useful in the classification of finite simple groups with low rank
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hosted visiting professor Brauer. The following year he visited the
Institute for Advanced Study and
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Brauer kept his manuscript through the 1940s, 1950s, and 1960s, and in 1979 it was published by
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2014:
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1994:
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with cyclic defect group which encodes much information about the structure of the block.
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were also Brauer’s students in
Toronto. Brauer also conducted international research with
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while in Königsberg; the isomorphism classes of such algebras form the elements of the
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Transcending
Tradition: Jewish Mathematicians in German Speaking Academic Culture
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305:Ăśber die Darstellung der Drehungsgruppe durch Gruppen linearer Substitutionen
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381:(February 10, 1901 – April 17, 1977) was a leading German and American
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Charles W. Curtis (2003) "Richard Brauer: Sketches from His Life and Work",
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to obtain subtle information about group characters, particularly via his
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2009:
1971:
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Pioneers of
Representation Theory: Frobenius, Burnside, Schur, and Brauer
787:"Ăśber Systeme hyperkomplexer Zahlen" which was primarily concerned with
718:
644:
430:
320:
770:. It also appeared posthumously as paper #22 in the first volume of his
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in 1974. The
Brauers frequently traveled to see their friends such as
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639:, published in 1956, later provided significant impetus towards the
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While still in Königsberg in 1929, Brauer published an article in
647:
of an involution (element of order 2) had a specified structure.
206:
146:
453:’s assistant. Brauer expounded central division algebras over a
299:
476:. Brauer accepted the offer, and by the end of 1933 he was in
767:
5749:
Members of the Göttingen
Academy of Sciences and Humanities
510:
to take up a faculty position. With his graduate student
426:
470:
Emergency Committee in Aid of Displaced Foreign Scholars
5699:
Jewish emigrants from Nazi Germany to the United States
632:, which is central to the theory of group characters.
749:had written an article on hypercomplex numbers for
421:. Except for the summer of 1920 when he studied at
63:. Unsourced material may be challenged and removed.
994:Bergmann, Birgit; Epple, Moritz; and Ungar, Ruti.
863:
701:, first worked out by Brauer in the case when the
1319:
1237:
500:Structure and Representation of Continuous Groups
5675:
3604:Mathematical, statistical, and computer sciences
1269:National Academy of Sciences Biographical Memoir
666:showed that no finite simple group could have a
5729:Presidents of the American Mathematical Society
5724:Institute for Advanced Study visiting scholars
990:
988:
986:
5754:Members of the American Philosophical Society
5046:
1289:
1195:Bulletin of the American Mathematical Society
709:, and later worked out in full generality by
672:Alperin–Brauer–Gorenstein theorem
1144:, History of Mathematics, Providence, R.I.:
903:, Mathematicians of Our Time, vol. 19,
899:(1980), Fong, Paul; Wong, Warren J. (eds.),
870:, Mathematicians of Our Time, vol. 18,
862:(1980), Fong, Paul; Wong, Warren J. (eds.),
833:, Mathematicians of Our Time, vol. 17,
829:(1980), Fong, Paul; Wong, Warren J. (eds.),
814:, W. A. Benjamin, Inc., New York-Amsterdam,
490:invited Brauer to assist him at Princeton's
1184:Bulletin of the London Mathematical Society
983:
753:in 1898. This article was expanded for the
572:and retired in 1971. His students included
415:Technische Hochschule Berlin-Charlottenburg
5053:
5039:
1296:
1282:
1109:
1104:Mathematical Journal of Okayama University
721:is a combinatorial object associated to a
674:classified finite groups with wreathed or
616:Several theorems bear his name, including
425:, he studied in Berlin, being awarded his
145:
1206:
1093:The President's National Medal of Science
804:
123:Learn how and when to remove this message
3013:
534:on representations of algebras. In 1941
1583:
1305:United States National Medal of Science
1249:MacTutor History of Mathematics Archive
1023:American Academy of Arts & Sciences
735:
630:Brauer's characterization of characters
400:
5676:
1134:
1097:
895:
858:
825:
641:classification of finite simple groups
568:In 1952, Brauer joined the faculty of
441:of real orthogonal (rotation) groups.
389:, but made important contributions to
229:Brauer's theorem on induced characters
19:For the American museum director, see
5034:
4133:
4132:
3602:
3012:
2526:
1582:
1318:
1277:
586:American Academy of Arts and Sciences
1189:
811:Theory of finite groups: A symposium
611:
61:adding citations to reliable sources
32:
5719:National Medal of Science laureates
966:Albert–Brauer–Hasse–Noether theorem
682:, classifying finite groups with a
413:, and in February 1919 enrolled in
13:
5704:20th-century German mathematicians
1182:(1978) "Richard Dagobert Brauer",
1083:
14:
5765:
1231:
791:(Nullteilerfrei systeme) and the
795:which he used later in Toronto.
37:
1208:10.1090/S0273-0979-1979-14547-6
798:
151:Richard and Ilse Brauer in 1970
48:needs additional citations for
5739:University of Kentucky faculty
5734:University of Michigan faculty
1059:
1035:
1011:
808:; Sah, Chih-han, eds. (1969),
594:American Philosophical Society
557:contributed to the program in
1:
5063:American Mathematical Society
2527:
1320:Behavioral and social science
1264:Mathematics Genealogy Project
1193:(1979), "Richard D. Brauer",
1174:American Mathematical Monthly
1146:American Mathematical Society
1128:
1118:30:79–107, paper #7 in
652:modular representation theory
516:modular representation theory
449:(now Kaliningrad) working as
395:modular representation theory
16:German-American mathematician
728:In 1970, he was awarded the
620:, which has applications in
590:National Academy of Sciences
584:. Brauer was elected to the
492:Institute for Advanced Study
7:
1090:National Science Foundation
929:
664:Brauer–Suzuki theorem
637:Brauer–Fowler theorem
588:in 1954, the United States
502:. Through the influence of
10:
5770:
5744:20th-century American Jews
5714:Jewish American scientists
5316:Theophil Henry Hildebrandt
4208:Subrahmanyan Chandrasekhar
901:Collected Papers. Vol. III
739:
705:has defect group of order
670:Sylow 2-subgroup, and the
618:Brauer's induction theorem
602:Werner Wolfgang Rogosinski
25:
18:
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5449:
5342:
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5120:
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3609:
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3247:
3183:William Hayward Pickering
3128:
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1116:Mathematische Zeitschrift
1019:"Richard Dagobert Brauer"
1000:, p. 54. Springer, 2012.
961:Brauer's theorem on forms
941:Brauer–Cartan–Hua theorem
866:Collected Papers. Vol. II
785:Mathematische Zeitschrift
730:National Medal of Science
680:Gorenstein–Walter theorem
549:In 1948, Brauer moved to
417:. He soon transferred to
372:
330:
314:
298:
276:
262:
255:
247:National Medal of Science
234:
224:
213:
202:
183:
158:
144:
137:
4632:Norman Foster Ramsey Jr.
4078:S. R. Srinivasa Varadhan
1709:Burrhus Frederic Skinner
1254:University of St Andrews
976:
951:Brauer–Manin obstruction
831:Collected Papers. Vol. I
717:in small dimension. The
506:, Brauer was invited to
393:. He was the founder of
26:Not to be confused with
5694:American mathematicians
5538:Cathleen Synge Morawetz
5110:Robert Simpson Woodward
5078:John Howard Van Amringe
3943:Cathleen Synge Morawetz
1861:George Ledyard Stebbins
1782:James Augustine Shannon
536:University of Wisconsin
524:Stephen Arthur Jennings
498:edited Weyl's lectures
468:took over in 1933, the
379:Richard Dagobert Brauer
5193:Leonard Eugene Dickson
4400:Joseph O. Hirschfelder
4387:Kenneth Sanborn Pitzer
3343:Harry George Drickamer
3289:Hans Wolfgang Liepmann
2963:M. Frederick Hawthorne
2837:John D. Baldeschwieler
2077:Daniel E. Koshland Jr.
1759:Earl W. Sutherland Jr.
946:Brauer–Nesbitt theorem
686:Sylow 2-subgroup, and
668:generalized quaternion
563:University of Michigan
518:, published in 1937.
474:University of Kentucky
423:University of Freiburg
385:. He worked mainly in
289:University of Michigan
281:University of Kentucky
195:Belmont, Massachusetts
5415:Charles B. Morrey Jr.
5407:Abraham Adrian Albert
5359:Gordon Thomas Whyburn
5252:Earle Raymond Hedrick
5236:George David Birkhoff
5177:Edward Burr Van Vleck
4991:Sylvester James Gates
4377:William Alfred Fowler
4359:Robert Rathbun Wilson
4172:Robert Burns Woodward
2984:Geraldine L. Richmond
2732:Howard E. Simmons Jr.
2015:Rosalyn Sussman Yalow
1944:Vernon B. Mountcastle
1800:Sterling B. Hendricks
1617:Marshall W. Nirenberg
1612:Theodosius Dobzhansky
1460:William Julius Wilson
1180:James Alexander Green
956:Brauer–Siegel theorem
508:University of Toronto
285:University of Toronto
5367:Raymond Louis Wilder
5185:Ernest William Brown
4962:Warren M. Washington
4926:Fay Ajzenberg-Selove
4835:Jeremiah P. Ostriker
4780:Martin Schwarzschild
4561:Solomon J. Buchsbaum
4553:J. Robert Schrieffer
4523:E. Margaret Burbidge
4367:Nicolaas Bloembergen
4344:Arie Jan Haagen-Smit
4223:Vladimir K. Zworykin
3975:John Griggs Thompson
3898:Martin David Kruskal
3738:Kurt Otto Friedrichs
3211:Erwin Wilhelm MĂĽller
3165:Ralph Brazelton Peck
3120:Jack St. Clair Kilby
3047:John Robinson Pierce
3014:Engineering sciences
2945:Jacqueline K. Barton
2800:George M. Whitesides
2719:Dudley R. Herschbach
2657:Richard B. Bernstein
2626:Walter H. Stockmayer
2174:Elizabeth F. Neufeld
2105:G. Evelyn Hutchinson
1995:Stanley Norman Cohen
1982:Rita Levi-Montalcini
1818:Keith Roberts Porter
1681:Alfred H. Sturtevant
1676:Michael Heidelberger
1648:Fritz Albert Lipmann
1240:Robertson, Edmund F.
1071:search.amphilsoc.org
1067:"APS Member History"
971:Weyl-Brauer matrices
751:Klein's encyclopedia
736:Hypercomplex numbers
628:, and its corollary
540:Bloomington, Indiana
494:in 1934. Brauer and
419:University of Berlin
401:Education and career
218:University of Berlin
57:improve this article
21:Richard H. W. Brauer
5260:Luther P. Eisenhart
5169:Henry Burchard Fine
5145:William Fogg Osgood
5094:George William Hill
5012:Shirley Ann Jackson
4931:Charles P. Slichter
4775:Marshall Rosenbluth
4767:Wallace S. Broecker
4720:Eugene M. Shoemaker
4481:Victor F. Weisskopf
4428:Herbert S. Gutowsky
4410:Edgar Bright Wilson
4251:George Kistiakowsky
3869:Stephen Cole Kleene
3380:George H. Heilmeier
3367:Mildred Dresselhaus
3258:Edward H. Heinemann
3188:Frederick E. Terman
3152:Richard T. Whitcomb
3073:Clarence L. Johnson
3034:Theodore von Kármán
2921:Stephen J. Benkovic
2900:Mostafa A. El-Sayed
2887:Marvin H. Caruthers
2842:Ralph F. Hirschmann
2782:Darleane C. Hoffman
2672:Harden M. McConnell
2613:Frank H. Westheimer
2425:Stanley B. Prusiner
2389:Robert J. Lefkowitz
2148:Howard Martin Temin
2005:Maurice R. Hilleman
2000:Joseph L. Goldstein
1939:Donald A. Henderson
1856:Earl Reece Stadtman
1841:Elizabeth C. Crosby
1805:Orville Alvin Vogel
1635:Donald D. Van Slyke
1584:Biological sciences
1238:O'Connor, John J.;
742:Hypercomplex number
656:three main theorems
626:finite group theory
551:Ann Arbor, Michigan
478:Lexington, Kentucky
5268:Arthur Byron Coble
5209:Gilbert Ames Bliss
5061:Presidents of the
4884:G. Brent Dalrymple
4702:Arthur L. Schawlow
4609:James A. Van Allen
4500:Philip W. Anderson
4456:Richard P. Feynman
4382:Linus Carl Pauling
4017:Dennis P. Sullivan
3574:John B. Goodenough
3507:Edwin N. Lightfoot
3475:Yuan-Cheng B. Fung
3456:Kenneth N. Stevens
3224:Raymond D. Mindlin
3147:Harold E. Edgerton
2992:A. Paul Alivisatos
2871:Stephen J. Lippard
2850:Ernest R. Davidson
2787:Harold S. Johnston
2621:William S. Johnson
2585:George C. Pimentel
2420:Susan L. Lindquist
2402:Francis S. Collins
2296:Victor A. McKusick
2271:Francisco J. Ayala
2253:Nancy C. Andreasen
2203:Robert A. Weinberg
1977:Har Gobind Khorana
1962:Michael E. DeBakey
1949:George Emil Palade
1921:Wendell L. Roelofs
1911:Howard L. Bachrach
1741:Barbara McClintock
1643:Edward F. Knipling
1136:Curtis, Charles W.
764:Okayama University
693:. The theory of a
606:Carl Ludwig Siegel
570:Harvard University
429:on 16 March 1926.
293:Harvard University
153:Photo courtesy MFO
5671:
5670:
5482:Andrew M. Gleason
5439:Saunders Mac Lane
5383:Edward J. McShane
5308:Marshall H. Stone
5292:Griffith C. Evans
5276:Solomon Lefschetz
5153:Henry Seely White
5028:
5027:
5024:
5023:
5020:
5019:
4957:Esther M. Conwell
4897:Robert N. Clayton
4889:Riccardo Giacconi
4853:Raymond Davis Jr.
4741:Albert Overhauser
4684:Edwin M. McMillan
4645:Arnold O. Beckman
4622:Paul Ching-Wu Chu
4599:Paul C. Lauterbur
4576:Robert Hofstadter
4528:Maurice Goldhaber
4515:Charles H. Townes
4466:Edward M. Purcell
4433:Frederick Rossini
4287:Wolfgang Panofsky
4218:John H. Van Vleck
4134:Physical sciences
4124:
4123:
4120:
4119:
4086:Solomon W. Golomb
4046:Andrew J. Viterbi
4041:Leonard Kleinrock
3988:Calyampudi R. Rao
3956:Ronald R. Coifman
3864:George F. Carrier
3845:Donald C. Spencer
3840:Saunders Mac Lane
3775:Marshall H. Stone
3725:Shiing-Shen Chern
3632:Solomon Lefschetz
3594:
3593:
3590:
3589:
3531:David J. Wineland
3499:John M. Prausnitz
3440:C. Kumar N. Patel
3435:James L. Flanagan
3403:John Roy Whinnery
3390:H. Guyford Stever
3372:Nick Holonyak Jr.
3335:George W. Housner
3330:Willis M. Hawkins
3325:Daniel C. Drucker
3307:Robert Byron Bird
3299:Bernard M. Oliver
3206:Peter C. Goldmark
3193:Wernher von Braun
3139:George E. Mueller
3112:Nathan M. Newmark
3107:J. Presper Eckert
3086:Claude E. Shannon
3055:Charles S. Draper
3004:
3003:
3000:
2999:
2971:Judith P. Klinman
2855:Gábor A. Somorjai
2766:Isabella L. Karle
2753:George S. Hammond
2714:Gertrude B. Elion
2667:Rudolph A. Marcus
2518:
2517:
2514:
2513:
2444:Ralph L. Brinster
2363:Torsten N. Wiesel
2340:Norman E. Borlaug
2327:Solomon H. Snyder
2322:J. Michael Bishop
2281:Mario R. Capecchi
2161:Salome G. Waelsch
2092:E. Donnall Thomas
1967:Theodor O. Diener
1866:Paul Alfred Weiss
1694:Bernard B. Brodie
1630:George G. Simpson
1574:
1573:
1570:
1569:
1519:Michael I. Posner
1420:Eleanor J. Gibson
1372:George J. Stigler
1340:Neal Elgar Miller
1176:110:665–77.
1155:978-0-8218-2677-5
1047:www.nasonline.org
914:978-0-262-02149-4
881:978-0-262-02148-7
844:978-0-262-02135-7
660:Sylow 2-subgroups
612:Mathematical work
592:in 1955, and the
574:Donald John Lewis
376:
375:
359:Donald S. Passman
331:Doctoral students
257:Scientific career
251:
244:
169:February 10, 1901
133:
132:
125:
107:
5761:
5664:
5656:
5648:
5640:
5632:
5624:
5616:
5613:Eric Friedlander
5608:
5600:
5592:
5584:
5576:
5557:
5549:
5541:
5533:
5525:
5517:
5509:
5501:
5498:Irving Kaplansky
5493:
5485:
5477:
5469:
5461:
5442:
5434:
5426:
5418:
5410:
5402:
5394:
5391:Deane Montgomery
5386:
5378:
5370:
5362:
5354:
5351:John von Neumann
5335:
5327:
5319:
5311:
5303:
5295:
5287:
5284:Robert Lee Moore
5279:
5271:
5263:
5255:
5247:
5239:
5220:
5212:
5204:
5196:
5188:
5180:
5172:
5164:
5156:
5148:
5140:
5132:
5113:
5105:
5097:
5089:
5086:Emory McClintock
5081:
5055:
5048:
5041:
5032:
5031:
4840:Gilbert F. White
4785:George Wetherill
4679:Allan M. Cormack
4637:Jack Steinberger
4617:D. Allan Bromley
4566:H. Richard Crane
4543:Frederick Reines
4533:Helmut Landsberg
4448:George Uhlenbeck
4349:Vladimir Haensel
4311:Allan R. Sandage
4282:Herbert C. Brown
4264:Herbert Friedman
4190:Leon M. Lederman
4162:Julian Schwinger
4141:
4140:
4130:
4129:
4099:Alexandre Chorin
4073:Richard A. Tapia
4054:David B. Mumford
3882:Alberto CalderĂłn
3827:Joseph B. Keller
3814:Michael Freedman
3783:Herman Goldstine
3637:H. Marston Morse
3611:
3610:
3600:
3599:
3539:Rudolf E. Kálmán
3523:Robert S. Langer
3515:Jan D. Achenbach
3348:Herbert E. Grier
3099:Igor I. Sikorsky
3060:Othmar H. Ammann
3021:
3020:
3010:
3009:
2976:Jerrold Meinwald
2745:Norman Hackerman
2724:Glenn T. Seaborg
2639:William O. Baker
2567:F. Albert Cotton
2535:
2534:
2524:
2523:
2501:Mary-Claire King
2394:Bert W. O'Malley
2350:Thomas E. Starzl
2345:Phillip A. Sharp
2332:Charles Yanofsky
2314:Evelyn M. Witkin
2309:James E. Darnell
2135:Paul C. Zamecnik
2100:Mary Ellen Avery
2072:Herbert W. Boyer
2067:Baruj Benacerraf
2038:Joshua Lederberg
2028:Viktor Hamburger
1990:Michael S. Brown
1836:Robert H. Burris
1591:
1590:
1580:
1579:
1527:Mortimer Mishkin
1452:William K. Estes
1436:Roger N. Shepard
1428:Robert K. Merton
1412:George A. Miller
1359:Herbert A. Simon
1327:
1326:
1316:
1315:
1298:
1291:
1284:
1275:
1274:
1256:
1244:"Richard Brauer"
1227:
1210:
1186:10:317–42.
1166:
1122:
1120:Collected Papers
1113:
1107:
1101:
1095:
1087:
1081:
1080:
1078:
1077:
1063:
1057:
1056:
1054:
1053:
1043:"Richard Brauer"
1039:
1033:
1032:
1030:
1029:
1015:
1009:
992:
925:
892:
869:
855:
822:
789:integral domains
772:Collected Papers
582:I. Martin Isaacs
555:Robert M. Thrall
520:Robert Steinberg
512:Cecil J. Nesbitt
387:abstract algebra
367:Robert Steinberg
355:Cecil J. Nesbitt
316:Doctoral advisor
310:
249:
242:
190:
168:
166:
149:
135:
134:
128:
121:
117:
114:
108:
106:
72:"Richard Brauer"
65:
41:
33:
28:L. E. J. Brouwer
5769:
5768:
5764:
5763:
5762:
5760:
5759:
5758:
5709:Group theorists
5674:
5673:
5672:
5667:
5659:
5651:
5643:
5635:
5627:
5619:
5611:
5603:
5595:
5587:
5579:
5571:
5560:
5552:
5544:
5536:
5528:
5520:
5514:William Browder
5512:
5504:
5496:
5488:
5480:
5472:
5464:
5456:
5445:
5437:
5431:Nathan Jacobson
5429:
5421:
5413:
5405:
5397:
5389:
5381:
5373:
5365:
5357:
5349:
5338:
5332:Joseph L. Walsh
5330:
5322:
5314:
5306:
5298:
5290:
5282:
5274:
5266:
5258:
5250:
5242:
5234:
5223:
5215:
5207:
5199:
5191:
5183:
5175:
5167:
5159:
5151:
5143:
5135:
5127:
5116:
5108:
5100:
5092:
5084:
5076:
5065:
5059:
5029:
5016:
5004:Sean C. Solomon
4966:
4918:Daniel Kleppner
4910:Lonnie Thompson
4905:Ralph A. Alpher
4871:W. Jason Morgan
4858:Charles Keeling
4848:Marvin L. Cohen
4815:
4798:John N. Bahcall
4793:Don L. Anderson
4759:Peter Goldreich
4712:Steven Weinberg
4664:
4594:Walter Elsasser
4571:Herman Feshbach
4485:
4423:Samuel Goudsmit
4415:Chien-Shiung Wu
4354:Frederick Seitz
4321:John A. Wheeler
4306:Robert H. Dicke
4291:
4154:Luis W. Alvarez
4135:
4116:
4104:David Blackwell
4058:
4009:Carl R. de Boor
3980:Karen Uhlenbeck
3960:
3914:Louis Nirenberg
3849:
3822:Ralph E. Gomory
3760:
3756:Donald E. Knuth
3743:Hassler Whitney
3681:
3605:
3586:
3551:
3483:Andreas Acrivos
3460:
3448:Eli Ruckenstein
3427:Hermann A. Haus
3398:Calvin F. Quate
3385:Luna B. Leopold
3352:
3243:
3229:Robert N. Noyce
3219:Emmett N. Leith
3178:Manson Benedict
3160:Rudolf Kompfner
3124:
3078:Warren K. Lewis
3015:
2996:
2930:
2892:Peter B. Dervan
2863:John I. Brauman
2822:
2774:Norman Davidson
2701:John D. Roberts
2676:
2644:Konrad E. Bloch
2590:Richard N. Zare
2552:
2529:
2510:
2467:Sallie Chisholm
2449:Rudolf Jaenisch
2429:
2412:J. Craig Venter
2371:Rita R. Colwell
2238:
2224:David Baltimore
2115:Robert W. Kates
2087:David G. Nathan
2082:Edward B. Lewis
2052:
2048:Harland G. Wood
2043:Roger W. Sperry
1898:Glenn W. Burton
1870:
1846:Arthur Kornberg
1813:Roger Guillemin
1790:Hallowell Davis
1754:Daniel I. Arnon
1746:Albert B. Sabin
1726:
1699:Detlev W. Bronk
1671:Harry F. Harlow
1666:Kenneth S. Cole
1653:William C. Rose
1625:Francis P. Rous
1585:
1566:
1531:
1511:Gordon H. Bower
1472:
1468:Robert M. Solow
1384:
1380:Milton Friedman
1344:
1321:
1310:
1302:
1234:
1156:
1131:
1126:
1125:
1114:
1110:
1102:
1098:
1088:
1084:
1075:
1073:
1065:
1064:
1060:
1051:
1049:
1041:
1040:
1036:
1027:
1025:
1017:
1016:
1012:
993:
984:
979:
932:
915:
882:
845:
801:
755:French language
744:
738:
715:complex numbers
703:principal block
650:Brauer applied
614:
532:Tadasi Nakayama
496:Nathan Jacobson
461:he introduced.
439:representations
403:
365:
361:
357:
353:
349:
345:
341:
337:
323:
308:
245:
214:Alma mater
198:
192:
188:
179:
170:
164:
162:
154:
152:
140:
129:
118:
112:
109:
66:
64:
54:
42:
31:
24:
17:
12:
11:
5:
5767:
5757:
5756:
5751:
5746:
5741:
5736:
5731:
5726:
5721:
5716:
5711:
5706:
5701:
5696:
5691:
5686:
5669:
5668:
5666:
5665:
5657:
5649:
5641:
5633:
5625:
5617:
5609:
5605:George Andrews
5601:
5593:
5585:
5581:David Eisenbud
5577:
5568:
5566:
5562:
5561:
5559:
5558:
5550:
5542:
5534:
5526:
5518:
5510:
5502:
5494:
5490:Julia Robinson
5486:
5478:
5470:
5462:
5453:
5451:
5447:
5446:
5444:
5443:
5435:
5427:
5419:
5411:
5403:
5399:Joseph L. Doob
5395:
5387:
5379:
5375:Richard Brauer
5371:
5363:
5355:
5346:
5344:
5340:
5339:
5337:
5336:
5328:
5320:
5312:
5304:
5296:
5288:
5280:
5272:
5264:
5256:
5248:
5240:
5231:
5229:
5225:
5224:
5222:
5221:
5213:
5205:
5197:
5189:
5181:
5173:
5165:
5157:
5149:
5141:
5133:
5124:
5122:
5118:
5117:
5115:
5114:
5106:
5098:
5090:
5082:
5073:
5071:
5067:
5066:
5058:
5057:
5050:
5043:
5035:
5026:
5025:
5022:
5021:
5018:
5017:
5015:
5014:
5009:
5006:
5001:
4999:Burton Richter
4996:
4993:
4988:
4983:
4978:
4974:
4972:
4968:
4967:
4965:
4964:
4959:
4954:
4952:Yakir Aharonov
4949:
4946:
4941:
4936:
4933:
4928:
4923:
4920:
4915:
4912:
4907:
4902:
4899:
4894:
4891:
4886:
4881:
4878:
4873:
4868:
4866:Richard Garwin
4863:
4860:
4855:
4850:
4845:
4842:
4837:
4832:
4830:Willis E. Lamb
4827:
4823:
4821:
4817:
4816:
4814:
4813:
4808:
4803:
4800:
4795:
4790:
4787:
4782:
4777:
4772:
4769:
4764:
4761:
4756:
4751:
4748:
4743:
4738:
4735:
4730:
4725:
4722:
4717:
4714:
4709:
4704:
4699:
4696:
4691:
4686:
4681:
4676:
4672:
4670:
4666:
4665:
4663:
4662:
4657:
4652:
4647:
4642:
4639:
4634:
4629:
4624:
4619:
4614:
4611:
4606:
4601:
4596:
4591:
4589:Philip Abelson
4586:
4583:
4581:Chen-Ning Yang
4578:
4573:
4568:
4563:
4558:
4555:
4550:
4548:Bruno B. Rossi
4545:
4540:
4535:
4530:
4525:
4520:
4517:
4512:
4507:
4505:Yoichiro Nambu
4502:
4497:
4493:
4491:
4487:
4486:
4484:
4483:
4478:
4473:
4468:
4463:
4458:
4453:
4450:
4445:
4440:
4435:
4430:
4425:
4420:
4417:
4412:
4407:
4402:
4397:
4392:
4389:
4384:
4379:
4374:
4369:
4364:
4361:
4356:
4351:
4346:
4341:
4336:
4331:
4328:
4323:
4318:
4316:John C. Slater
4313:
4308:
4303:
4299:
4297:
4293:
4292:
4290:
4289:
4284:
4279:
4276:
4271:
4266:
4261:
4256:
4253:
4248:
4243:
4238:
4233:
4228:
4225:
4220:
4215:
4210:
4205:
4203:Jacob Bjerknes
4200:
4197:
4192:
4187:
4182:
4177:
4174:
4169:
4164:
4159:
4156:
4151:
4147:
4145:
4137:
4136:
4126:
4125:
4122:
4121:
4118:
4117:
4115:
4114:
4109:
4106:
4101:
4096:
4093:
4088:
4083:
4080:
4075:
4070:
4066:
4064:
4060:
4059:
4057:
4056:
4051:
4048:
4043:
4038:
4035:
4030:
4027:
4022:
4019:
4014:
4011:
4006:
4003:
4001:James G. Glimm
3998:
3995:
3993:Elias M. Stein
3990:
3985:
3982:
3977:
3972:
3968:
3966:
3962:
3961:
3959:
3958:
3953:
3948:
3945:
3940:
3937:
3935:Shing-Tung Yau
3932:
3929:
3924:
3919:
3916:
3911:
3908:
3903:
3900:
3895:
3892:
3887:
3884:
3879:
3876:
3871:
3866:
3861:
3857:
3855:
3851:
3850:
3848:
3847:
3842:
3837:
3832:
3829:
3824:
3819:
3816:
3811:
3806:
3803:
3801:Antoni Zygmund
3798:
3793:
3790:
3788:Isadore Singer
3785:
3780:
3777:
3772:
3768:
3766:
3762:
3761:
3759:
3758:
3753:
3751:Joseph L. Doob
3748:
3745:
3740:
3735:
3732:
3730:George Dantzig
3727:
3722:
3720:John W. Backus
3717:
3714:
3709:
3706:
3701:
3698:
3696:Richard Brauer
3693:
3689:
3687:
3683:
3682:
3680:
3679:
3677:William Feller
3674:
3671:
3666:
3663:
3658:
3655:
3650:
3647:
3642:
3639:
3634:
3629:
3626:
3624:Norbert Wiener
3621:
3617:
3615:
3607:
3606:
3596:
3595:
3592:
3591:
3588:
3587:
3585:
3584:
3582:Thomas Kailath
3579:
3576:
3571:
3568:
3563:
3559:
3557:
3553:
3552:
3550:
3549:
3544:
3541:
3536:
3533:
3528:
3525:
3520:
3517:
3512:
3509:
3504:
3501:
3496:
3493:
3488:
3485:
3480:
3477:
3472:
3468:
3466:
3462:
3461:
3459:
3458:
3453:
3450:
3445:
3442:
3437:
3432:
3429:
3424:
3421:
3416:
3413:
3408:
3405:
3400:
3395:
3392:
3387:
3382:
3377:
3374:
3369:
3364:
3360:
3358:
3354:
3353:
3351:
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1257:
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1232:External links
1230:
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1228:
1197:, New Series,
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740:Main article:
737:
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697:with a cyclic
613:
610:
578:Donald Passman
559:modern algebra
546:was teaching.
402:
399:
374:
373:
370:
369:
351:J. Carson Mark
343:Peter Landrock
339:S. A. Jennings
332:
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191:(aged 76)
187:April 17, 1977
185:
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139:Richard Brauer
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676:quasidihedral
673:
669:
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661:
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648:
646:
642:
638:
633:
631:
627:
623:
622:number theory
619:
609:
607:
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599:
598:Reinhold Baer
595:
591:
587:
583:
579:
575:
571:
566:
564:
560:
556:
553:where he and
552:
547:
545:
541:
537:
533:
529:
528:Ralph Stanton
525:
521:
517:
514:he developed
513:
509:
505:
501:
497:
493:
489:
485:
483:
482:the Holocaust
479:
475:
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467:
462:
460:
456:
455:perfect field
452:
448:
442:
440:
436:
432:
428:
424:
420:
416:
412:
407:
406:Alfred Brauer
398:
396:
392:
391:number theory
388:
384:
383:mathematician
380:
371:
368:
364:
363:Ralph Stanton
360:
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271:mathematician
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177:German Empire
174:
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127:
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116:
105:
102:
98:
95:
91:
88:
84:
81:
77:
74: –
73:
69:
68:Find sources:
62:
58:
52:
51:
46:This article
44:
40:
35:
34:
29:
22:
5653:Ruth Charney
5589:James Arthur
5546:Arthur Jaffe
5374:
5201:Frank Morley
5137:Thomas Fiske
4986:Sandra Faber
4981:Sidney Drell
4811:Leo Kadanoff
4806:James Cronin
4754:Hans Dehmelt
4689:Robert Pound
4655:Robert Sharp
4471:John Sinfelt
4438:Verner Suomi
4405:Lewis Sarett
4269:Lars Onsager
4213:Henry Eyring
4180:John Bardeen
3922:Richard Karp
3890:Allen Newell
3695:
3669:Jerzy Neyman
3294:Tung-Yen Lin
3271:Bill Hewlett
3201:Morris Cohen
2795:John W. Cahn
2696:Karl Folkers
2457:Lucy Shapiro
2407:Elaine Fuchs
2286:Ann Graybiel
2216:Janet Rowley
2198:James Watson
2190:Ruth Patrick
2033:Philip Leder
1903:Mildred Cohn
1851:Severo Ochoa
1828:E. O. Wilson
1247:
1198:
1194:
1191:Feit, Walter
1140:
1119:
1115:
1111:
1103:
1099:
1085:
1074:. Retrieved
1070:
1061:
1050:. Retrieved
1046:
1037:
1026:. Retrieved
1022:
1013:
996:
900:
896:
865:
859:
830:
826:
810:
805:
799:Publications
793:field theory
782:
771:
759:Henri Cartan
747:Eduard Study
745:
727:
706:
699:defect group
688:Glauberman's
649:
634:
615:
567:
548:
504:Emmy Noether
499:
488:Hermann Weyl
486:
463:
459:Brauer group
451:Konrad Knopp
443:
404:
378:
377:
304:
277:Institutions
256:
189:(1977-04-17)
119:
110:
100:
93:
86:
79:
67:
55:Please help
50:verification
47:
5689:1977 deaths
5684:1901 births
5663:(2023–2024)
5655:(2021–2022)
5647:(2019–2020)
5645:Jill Pipher
5639:(2017–2018)
5631:(2015–2016)
5623:(2013–2014)
5621:David Vogan
5615:(2011–2012)
5607:(2009–2010)
5599:(2007–2008)
5597:James Glimm
5591:(2005–2006)
5583:(2003–2004)
5575:(2001–2002)
5556:(1999–2000)
5548:(1997–1998)
5540:(1995–1996)
5532:(1993–1994)
5524:(1991–1992)
5516:(1989–1990)
5508:(1987–1988)
5500:(1985–1986)
5492:(1983–1984)
5484:(1981–1982)
5476:(1979–1980)
5468:(1977–1978)
5460:(1975–1976)
5458:Lipman Bers
5441:(1973–1974)
5433:(1971–1972)
5425:(1969–1970)
5417:(1967–1968)
5409:(1965–1966)
5401:(1963–1964)
5393:(1961–1962)
5385:(1959–1960)
5377:(1957–1958)
5369:(1955–1956)
5361:(1953–1954)
5353:(1951–1952)
5334:(1949–1950)
5326:(1947–1948)
5324:Einar Hille
5318:(1945–1946)
5310:(1943–1944)
5302:(1941–1942)
5294:(1939–1940)
5286:(1937–1938)
5278:(1935–1936)
5270:(1933–1934)
5262:(1931–1932)
5254:(1929–1930)
5246:(1927–1928)
5238:(1925–1926)
5219:(1923–1924)
5211:(1921–1922)
5203:(1919–1920)
5195:(1917–1918)
5187:(1915–1916)
5179:(1913–1914)
5171:(1911–1912)
5163:(1909–1910)
5155:(1907–1908)
5147:(1905–1906)
5139:(1903–1904)
5131:(1901–1902)
5129:E. H. Moore
5112:(1899–1900)
5104:(1897–1898)
5096:(1895–1896)
5088:(1891–1894)
5080:(1888–1890)
4939:Berni Alder
4746:Frank Press
4627:Walter Kohn
4604:George Pake
4538:Walter Munk
4461:Herman Mark
4443:Henry Taube
4231:Jesse Beams
4185:Peter Debye
4167:Harold Urey
4091:Barry Mazur
3653:John Milnor
3547:Amnon Yariv
3491:Leo Beranek
3317:Ernst Weber
3170:Abel Wolman
2761:Thomas Cech
2691:Elkan Blout
2631:Max Tishler
2548:Roger Adams
2506:Simon Levin
1972:Harry Eagle
1795:Paul Gyorgy
1487:Gary Becker
1201:(1): 1–20,
757:edition by
719:Brauer tree
645:centralizer
624:as well as
431:Issai Schur
347:D. J. Lewis
335:R. H. Bruck
321:Issai Schur
241:in Algebra
220:(PhD, 1926)
203:Nationality
5678:Categories
5573:Hyman Bass
5466:R. H. Bing
4733:Vera Rubin
4372:Paul Flory
4033:Hyman Bass
3906:John Cocke
3809:Raoul Bott
3712:Kurt Gödel
3704:John Tukey
3661:Paul Cohen
3276:George Low
3239:Simon Ramo
2462:Leroy Hood
2263:Carl Woese
2211:Bruce Ames
1722:Ernst Mayr
1129:References
1076:2022-08-09
1052:2022-08-09
1028:2022-08-09
1006:3642224636
897:Brauer, R.
860:Brauer, R.
827:Brauer, R.
806:Brauer, R.
711:E. C. Dade
691:Z* theorem
544:Emil Artin
466:Nazi Party
447:Königsberg
435:Heinz Hopf
239:Cole Prize
165:1901-02-10
83:newspapers
5661:Bryna Kra
5637:Ken Ribet
5565:2001–2024
5474:Peter Lax
5450:1975–2000
5343:1951–1974
5228:1925–1950
5121:1901–1924
5070:1888–1900
4728:Val Fitch
3796:Peter Lax
3566:Shu Chien
2813:John Ross
2528:Chemistry
1916:Paul Berg
1308:laureates
1217:0002-9904
905:MIT Press
872:MIT Press
835:MIT Press
464:When the
267:Scientist
113:June 2022
4707:Ed Stone
1704:Jay Lush
1138:(2003),
930:See also
684:dihedral
411:inventor
1262:at the
1225:0513747
1164:1715145
923:0581120
890:0581120
853:0581120
820:0240186
97:scholar
1223:
1215:
1168:Review
1162:
1152:
1004:
921:
911:
888:
878:
851:
841:
818:
662:. The
604:, and
580:, and
542:where
526:, and
309:(1926)
307:
300:Thesis
263:Fields
250:(1970)
243:(1949)
235:Awards
209:, U.S.
207:German
197:, U.S.
99:
92:
85:
78:
70:
4971:2010s
4820:2000s
4669:1990s
4490:1980s
4296:1970s
4144:1960s
4063:2010s
3965:2000s
3854:1990s
3765:1980s
3686:1970s
3614:1960s
3556:2010s
3465:2000s
3357:1990s
3248:1980s
3129:1970s
3024:1960s
2935:2010s
2827:2000s
2681:1990s
2557:1980s
2538:1960s
2434:2010s
2243:2000s
2057:1990s
1875:1980s
1731:1970s
1594:1960s
1536:2010s
1477:2000s
1389:1990s
1349:1980s
1330:1960s
977:Notes
768:Japan
723:block
695:block
104:JSTOR
90:books
5008:2014
4995:2012
4977:2011
4948:2009
4935:2008
4922:2007
4914:2006
4901:2005
4893:2004
4880:2003
4862:2002
4844:2001
4826:2000
4802:1999
4789:1998
4771:1997
4763:1996
4750:1995
4737:1994
4724:1993
4716:1992
4698:1991
4675:1990
4641:1989
4613:1988
4585:1987
4557:1986
4519:1983
4496:1982
4452:1979
4419:1976
4391:1975
4363:1974
4330:1973
4302:1970
4278:1969
4255:1968
4227:1967
4199:1966
4176:1965
4158:1964
4150:1963
4108:2013
4095:2012
4082:2011
4069:2010
4050:2009
4037:2007
4029:2006
4021:2005
4013:2004
4005:2003
3997:2002
3984:2001
3971:2000
3947:1999
3939:1998
3931:1997
3918:1996
3910:1995
3902:1994
3894:1993
3886:1992
3878:1991
3860:1990
3831:1989
3818:1988
3805:1987
3792:1986
3779:1983
3771:1982
3747:1979
3734:1976
3716:1975
3708:1974
3700:1973
3692:1970
3673:1969
3665:1968
3657:1967
3649:1966
3641:1965
3628:1964
3620:1963
3578:2012
3570:2011
3562:2010
3543:2009
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3527:2007
3519:2006
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3503:2004
3495:2003
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3471:2000
3452:1999
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3431:1996
3423:1995
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3407:1993
3394:1992
3376:1991
3363:1990
3339:1989
3321:1988
3303:1987
3285:1986
3267:1983
3254:1982
3215:1979
3197:1976
3174:1975
3156:1974
3143:1973
3135:1970
3116:1969
3103:1968
3090:1967
3082:1966
3064:1965
3051:1964
3038:1963
3030:1962
2988:2014
2980:2013
2967:2012
2954:2011
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2687:1990
2653:1989
2635:1988
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2576:1983
2563:1982
2544:1964
2492:2014
2484:2013
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