Abelian Galois cohomology of reductive groups
Author(s)
Bibliographic Information
Abelian Galois cohomology of reductive groups
（Memoirs of the American Mathematical Society, no. 626）
American Mathematical Society, 1998
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Note
"March 1998, volume 132, number 626 (second of 5 numbers)." -- t.p.
Includes bibliographical references
Description and Table of Contents
Description
In this volume, a new functor $H^2_{ab}(K,G)$ of abelian Galois cohomology is introduced from the category of connected reductive groups $G$ over a field $K$ of characteristic $0$ to the category of abelian groups. The abelian Galois cohomology and the abelianization map$ab^1:H^1(K,G) \rightarrow H^2_{ab}(K,G)$ are used to give a functorial, almost explicit description of the usual Galois cohomology set $H^1(K,G)$ when $K$ is a number field.
Table of Contents
Introduction The algebraic fundamental group of a reductive group Abelian Galois cohomology The abelianization maps Computation of abelian Galois cohomology Galois cohomology over local fields and number fields References.
by "Nielsen BookData"
