Collected papers: 1. Theory of algebras, and finite groups
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | |
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, Mass. ; London
MIT Press
1980
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| Schriftenreihe: | Mathematicians of our time
17 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | LIV, 615 S. |
| ISBN: | 0262021358 |
Internformat
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| 100 | 1 | |a Brauer, Richard |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Collected papers |n 1. |p Theory of algebras, and finite groups |c Richard Brauer. Edited by Paul Fong and Warren J. Wong |
| 264 | 1 | |a Cambridge, Mass. ; London |b MIT Press |c 1980 | |
| 300 | |a LIV, 615 S. | ||
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Datensatz im Suchindex
| _version_ | 1804139062129328128 |
|---|---|
| adam_text | Contents
(Bracketed numbers are from the Bibliography)
Preface
xv
Richard Dagobert Brauer by J. A. Green
xxi
Bibliography of Richard Brauer
xlv
Volume I
Theory of Algebras
Introduction by O. Goldman
3
[3] Uber Zusammenhange zwischen arithmetischen und
invariantentheoretischen Eigenschaften von Gruppen linearer
Substitutionen 5
[4] Uber minimale Zerfallungskorper irreduzibler Darstellungen
(with E. Noether) 12
[5] Untersuchungen iiber die arithmetischen Eigenschaften von
Gruppen linearer Substitutionen I 20
[7] Uber Systeme hyperkomplexer Zahlen 40
[11] Zum Irreduzibilitatsbegriff in der Theorie der Gruppen
linearer homogener Substitutionen (with I. Schur) 69
[12] Untersuchungen uber die arithmetischen Eigenschaften von
Gruppen linearer Substitutionen II 88
[13] Uber die algebraische Struktur von Schiefkorpern 103
[14] Beweis eines Hauptsatzes in der Theorie der Algebren (with
H. Hasse and E. Noether) 1 15
[15] tiber die Konstruktion der Schiefkorper, die von endlichem
Rang in bezug auf ein gegebenes Zentrum sind 121
[16] Uber den Index und den Exponenten von Divisionalgebren 142
[22] Algebra der hyperkomplexen Zahlensysteme (Algebren) 153
[28] On the regular representations of algebras (with C. Nesbitt) 190
[30] On normal division algebras of index 5 195
[31] On modular and p-adic representations of algebras 199
[36] On sets of matrices with coefficients in a division ring 206
[41] On the nilpotency of the radical of a ring 253
[44] On hypercomplex arithmetic and a theorem of Speiser 260
[50] On splitting fields of simple algebras 273
[56] Representations of groups and rings 285
[57] On a theorem of H. Cartan 306
[69] Some remarks on associative rings and algebras 308
Finite Groups
Introduction by Paul Fong and Warren J. Wong
319
[18] tiber die Darstellung von Gruppen in Galoisschen Feldern 323
[27] On the modular representations of groups of finite order I
(with C. Nesbitt) 336
[32] On the representation of groups of finite order 355
[33] On the Cartan invariants of groups of finite order 361
[34] On the modular characters of groups (with C. Nesbitt) 370
viii CONTENTS
[37] On the connection between the ordinary and the modular
characters of groups of finite order 405
[38] Investigations on group characters 415
[39] On groups whose order contains a prime number to the first
power I 438
[40] On groups whose order contains a prime number to the first
power II 458
[42] On permutation groups of prime degree and related classes of
groups 478
[43] On the arithmetic in a group ring 501
[46] On simple groups of finite order (with H. F. Tuan) 507
[47] On the representation of a group of order g in the field of the
g-th roots of unity 518
[48] On blocks of characters of groups of finite order, I 529
[49] On blocks of characters of groups of finite order, II 534
[51] On Artin s L-series with general group characters 539
[53] Applications of induced characters 552
[54] On a conjecture by Nakayama 560
[60] On the algebraic structure of group rings 569
[61] On the representations of groups of finite order 584
[62] A characterization of the characters of groups of finite order 588
[63] On the characters of finite groups (with J. Tate) 609
ix CONTENTS
Volume II
Finite Groups (Continued)
[64] On groups of even order (with K. A. Fowler) 3
[65] Zur Darstellungstheorie der Gruppen endlicher Ordnung 22
[67] Number theoretical investigations on groups of finite order 61
[68] On the structure of groups of finite order 69
[70] A characterization of the one-dimensional unimodular
projective groups over finite fields (with M. Suzuki and
G. E. Wall) 78
[71] On a problem of E. Artin (with W. F. Reynolds) 106
[72] On the number of irreducible characters of finite groups in a
given block (with W. Feit) 114
[73] Zur Darstellungstheorie der Gruppen endlicher Ordnung II 119
[74] On finite groups of even order whose 2-Sylow group is a
quaternion group (with M. Suzuki) 141
[76] On blocks of representations of finite groups 144
[77] Investigation on groups of even order, I 147
[78] On finite groups with an abelian Sylow group
(with H. S. Leonard) 150
[79] On groups of even order with an abelian 2-Sylow subgroup 165
[80] On some conjectures concerning finite simple groups 171
[81] On finite groups and their characters 177
[82] Representations of finite groups 183
x CONTENTS
[83] On quotient groups of finite groups 226
[84] A note on theorems of Burnside and Blichfeldt 239
[85] Some applications of the theory of blocks of characters of
finite groups. I 243
[86] Some applications of the theory of blocks of characters of
finite groups. II 259
[89] On finite Desarguesian planes. I 287
[90] On finite Desarguesian planes. II 294
[91] Investigation on groups of even order, II 322
[92] Some applications of the theory of blocks of characters of
finite groups, III 328
[93] A characterization of the Mathieu group M12 (with P. Fong) 359
[94] An analogue of Jordan s theorem in characteristic/)
(with W. Feit) 389
[95] Some results on finite groups whose order contains a prime to
the first power 402
[97] On simple groups of order 5 • 3 • 2* 421
[98] tiber endliche lineare Gruppen von Primzahlgrad 471
[99] On a theorem of Burnside 495
[100] On blocks and sections in finite groups, I 499
[101] On pseudo groups 521
[102] On blocks and sections in finite groups, II 531
[104] On a theorem of Frobenius 562
[105] Defect groups in the theory of representations of finite groups 566
xi CONTENTS
Volume III
Finite Groups (Continued)
[106] On the order of finite projective groups in a given dimension 3
[109] On the first main theorem on blocks of characters of finite
groups 7
[111] On finite Desarguesian planes. Ill 12
[112] Some applications of the theory of blocks of characters of
finite groups IV 20
[113] Types of blocks of representations of finite groups 53
[114] Some properties of finite groups with wreathed Sylow
2-subgroup (with W. J. Wong) 58
[115] Character theory of finite groups with wreathed Sylow
2-subgroups 69
[116] Blocks of characters 115
[118] Finite simple groups of 2-rank two (with J. L. Alperin and
D. Gorenstein) 120
[120] On the structure of blocks of characters of finite groups 144
[121] Some applications of the theory of blocks of characters of
finite groups. V 172
[122] On 2-blocks with dihedral defect groups 200
[123] On the centralizers of ^-elements in finite groups
(with P. Fong) 227
[125] On finite groups with cyclic Sylow subgroups, I 233
[126] Notes on representations of finite groups, I 262
xii CONTENTS
[127] Blocks of characters and structure of finite groups 267
[128] On finite projective groups 285
[129] On finite groups with cyclic Sylow subgroups, II 305
Lie Groups
[1] tiber die Darstellung der Drehungsgruppe durch Gruppen
linearer Substitutionen 335
[8] Die stetigen Darstellungen der komplexen orthogonalen
Gruppe 404
[19] Spinors in n dimensions (with H. Weyl) 418
[21] Sur les invariants integraux des varietes representatives des
groupes de Lie simples clos 443
[25] On algebras which are connected with the semisimple
continuous groups 446
[26] Eine Bedingung fiir vollstandige Reduzibilitat von
Darstellungen gewohnlicher und infinitesimaler Gruppen 462
[29] Sur la multiplication des caracteristiques des groupes continus
et semi-simples 472
[88] On the relation between the orthogonal group and the
unimodular group 475
Number Theory
[52] On the zeta-functions of algebraic number fields 481
[58] On the zeta-functions of algebraic number fields II 489
[59] Beziehungen zwischen Klassenzahlen von Teilkorpern eines
galoisschen Korpers 497
xiii CONTENTS
[66] A note on the class-numbers of algebraic number fields (with
N. C. Ankeny and S. Chowla) 514
[87] On certain classes of positive definite quadratic forms 525
[119] A note on zeta-functions of algebraic number fields 533
[124] On the resolvent problem 536
Polynomials and Equations; Geometry
[2] tjber die Irreduzibilitat einiger spezieller Klassen von
Polynomen (with A. Brauer and H. Hopf) 549
[6] liber einen Satz fur unitare Matrizen 563
[9] Tiber einen Satz fur unitare Matrizen (with A. Loewy) 564
[17] Tiber die Kleinsche Theorie der algebraischen Gleichungen 570
[20] Tiber Irreduzibilitatskriterien von I. Schur und G. Polya (with
A. Brauer) 598
[23] Symmetrische Funktionen. Invarianten von linearen Gruppen
endlicher Ordnung 622
[24] A characterization of null systems in projective space 645
[35] A generalization of theorems of Schonhardt and Mehmke on
polytopes (with H. S. M. Coxeter) 653
[45] A note on systems of homogeneous algebraic equations 659
[55] A note on Hilbert s Nullstellensatz 666
Biography
[96] Emil Artin 671
[117] On the work of John Thompson 688
xiv CONTENTS
|
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| indexdate | 2024-07-09T21:38:06Z |
| institution | BVB |
| isbn | 0262021358 |
| language | English |
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| physical | LIV, 615 S. |
| publishDate | 1980 |
| publishDateSearch | 1980 |
| publishDateSort | 1980 |
| publisher | MIT Press |
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| series | Mathematicians of our time |
| series2 | Mathematicians of our time Mathematicians of Our Time |
| spelling | Brauer, Richard Verfasser aut Collected papers 1. Theory of algebras, and finite groups Richard Brauer. Edited by Paul Fong and Warren J. Wong Cambridge, Mass. ; London MIT Press 1980 LIV, 615 S. txt rdacontent n rdamedia nc rdacarrier Mathematicians of our time 17 Mathematicians of Our Time ... Algebra (DE-588)4001156-2 gnd rswk-swf Endliche Gruppe (DE-588)4014651-0 gnd rswk-swf Algebra (DE-588)4001156-2 s Endliche Gruppe (DE-588)4014651-0 s DE-604 Fong, Paul edt (DE-604)BV004012685 1 Mathematicians of our time 17 (DE-604)BV000014195 17 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017507092&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Brauer, Richard Collected papers Mathematicians of our time Algebra (DE-588)4001156-2 gnd Endliche Gruppe (DE-588)4014651-0 gnd |
| subject_GND | (DE-588)4001156-2 (DE-588)4014651-0 |
| title | Collected papers |
| title_auth | Collected papers |
| title_exact_search | Collected papers |
| title_full | Collected papers 1. Theory of algebras, and finite groups Richard Brauer. Edited by Paul Fong and Warren J. Wong |
| title_fullStr | Collected papers 1. Theory of algebras, and finite groups Richard Brauer. Edited by Paul Fong and Warren J. Wong |
| title_full_unstemmed | Collected papers 1. Theory of algebras, and finite groups Richard Brauer. Edited by Paul Fong and Warren J. Wong |
| title_short | Collected papers |
| title_sort | collected papers theory of algebras and finite groups |
| topic | Algebra (DE-588)4001156-2 gnd Endliche Gruppe (DE-588)4014651-0 gnd |
| topic_facet | Algebra Endliche Gruppe |
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