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
Available at 19 libraries
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"