Abelian Galois Cohomology of Reductive Groups (Memoirs of the American Mathematical Society, No. 626) |  | Author: Mikhail Borovoi
Publisher: American Mathematical Society
Category: Book
List Price: $37.00
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Sales Rank: 6837372
Media: Hardcover
Pages: 50
Number Of Items: 1
ISBN: 0821806505
EAN: 9780821806500
Publication Date: March 1998
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Product 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.
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