Galois cohomology of special orthogonal groups

被引：3

作者：

Garibaldi, R

Tignol, JP

Wadsworth, AR

机构：

[1] UNIV CALIF SAN DIEGO,DEPT MATH,LA JOLLA,CA 92093

[2] UNIV CATHOLIQUE LOUVAIN,INST MATH,B-1348 LOUVAIN,BELGIUM

来源：

MANUSCRIPTA MATHEMATICA | 1997年 / 93卷 / 02期

关键词：

D O I：

10.1007/BF02677469

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

If (A, sigma) is a central simple algebra of even degree with orthogonal involution, then for the map of Galois cohomology sets from H-1(F, SO(A, sigma)) to the 2-torsion in the Brauer group of F, we describe fully the image of a given element of H-1(F, SO(A, sigma)) and prove that this description is correct in two different ways. As an easy consequence, we derive a result of Bartels [Bar, Satz 3].

引用

页码：247 / 266

页数：20

共 50 条

[11] Topological models and cohomology of Galois groups
Adem, A
Karagueuzian, D
Minac, J
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1998, 326 (08): : 919 - 924
[12] A NOTE ON GALOIS COHOMOLOGY GROUPS OF ALGEBRAIC TORI
AMANO, K
NAGOYA MATHEMATICAL JOURNAL, 1969, 34 (MAR) : 121 - &
[13] COHOMOLOGY AND OVERCONVERGENCE FOR REPRESENTATIONS OF POWERS OF GALOIS GROUPS
Pal, Aprameyo
Zabradi, Gergely
JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, 2021, 20 (02) : 361 - 421
[14] BRAUER GROUPS AND GALOIS COHOMOLOGY FOR A KRULL SCHEME
LEE, H
ORZECH, M
JOURNAL OF ALGEBRA, 1985, 95 (02) : 309 - 331
[15] Field theory and the cohomology of some Galois groups
Adem, A
Gao, W
Karagueuzian, DB
Minác, J
JOURNAL OF ALGEBRA, 2001, 235 (02) : 608 - 635
[16] On the cohomology of Galois groups determined by Witt rings
Adem, A
Karagueuzian, DB
Minác, J
ADVANCES IN MATHEMATICS, 1999, 148 (01) : 105 - 160
[17] Special cohomology classes for modular Galois representations
Howard, B
JOURNAL OF NUMBER THEORY, 2006, 117 (02) : 406 - 438
[18] Galois cohomology and profinitely solitary Chevalley groups
Kammeyer, Holger
Spitler, Ryan
MATHEMATISCHE ANNALEN, 2024, 390 (02) : 2497 - 2511
[19] Classification of Quantum Groups via Galois Cohomology
Karolinsky, Eugene
Pianzola, Arturo
Stolin, Alexander
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2020, 377 (02) : 1099 - 1129
[20] Quotients of absolute Galois groups which determine the entire Galois cohomology
Chebolu, Sunil K.
Efrat, Ido
Minac, Jan
MATHEMATISCHE ANNALEN, 2012, 352 (01) : 205 - 221

← 1 2 3 4 5 →