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
收藏
页码：247 / 266
页数：20
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