Equivariant quadratic forms in characteristic 2

被引：0

作者：

Nebe, Gabriele ^{[1
]}

Parker, Richard ^{[1
]}

机构：

[1] Rhein Westfal TH Aachen, D-52056 Aachen, Germany

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2023年 / 55卷 / 02期

关键词：

D O I：

10.1112/blms.12748

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group and K a finite field of characteristic 2. Denote by t the 2-rank of the commutator factor group G/G ' and by s the number of isomorphism classes of self-dual simple KG-modules. Then the Witt group of equivariant quadratic forms WQ(K,G) is isomorphic to an elementary abelian 2-group of rank s+t.

引用

页码：668 / 679

页数：12

共 50 条

[41] Quadratic forms of codimension 2 over certain finite fields of even characteristic
Ozbudak, Ferruh
Saygi, Elif
Saygi, Zulfukar
CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2011, 3 (04): : 241 - 257
[42] Certain quadratic forms of dimension 6 or greater and function fields of characteristic 2
Laghribi, A
ISRAEL JOURNAL OF MATHEMATICS, 2002, 129 : 317 - 361
[43] Splitting of quadratic Pfister forms over purely inseparable extensions in characteristic 2
Hoffmann, Detlev W.
JOURNAL OF ALGEBRA, 2022, 596 : 311 - 327
[44] Unipotent Flows and Isotropic Quadratic Forms in Positive Characteristic
Mohammadi, A.
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2011, 2011 (20) : 4535 - 4554
[45] Endomorphisms and cores of quadratic forms graphs in odd characteristic
Huang, Li-Ping
FINITE FIELDS AND THEIR APPLICATIONS, 2019, 55 : 284 - 304
[46] MILNOR K-THEORY AND QUADRATIC-FORMS OVER FIELDS OF CHARACTERISTIC 2
ARAVIRE, R
BAEZA, R
COMMUNICATIONS IN ALGEBRA, 1992, 20 (04) : 1087 - 1107
[47] THE AUTOMORPHISM GROUP AND THE CONVEX SUBGRAPHS OF THE QUADRATIC-FORMS GRAPH IN CHARACTERISTIC-2
MUNEMASA, A
PASECHNIK, DV
SHPECTOROV, SV
JOURNAL OF ALGEBRAIC COMBINATORICS, 1993, 2 (04) : 411 - 419
[48] The equivariant Euler characteristic of A3[2]
Bergstrom, Jonas
Bergvall, Olof
ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2020, 20 (04) : 1345 - 1357
[49] Finding Nontrivial Zeros of Quadratic Forms over Rational Function Fields of Characteristic 2
Kutas, Peter
Montessinos, Mickael
Zabradi, Gergely
Csahok, Timea
PROCEEDINGS OF THE 2022 INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND ALGEBRAIC COMPUTATION, ISSAC 2022, 2022, : 235 - 244
[50] Annihilators of quadratic and bilinear forms over fields of characteristic two
Aravire, R
Baeza, R
JOURNAL OF ALGEBRA, 2006, 299 (01) : 294 - 308

← 1 2 3 4 5 →