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Abelian Galois Cohomology of Reductive Groups

Abelian Galois Cohomology of Reductive Groups PDF Author: Mikhail Borovoi
Publisher: American Mathematical Soc.
ISBN: 0821806505
Category : Mathematics
Languages : en
Pages : 65

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Book Description
In this volume, a new function 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 ab1: H1 (K, G) -- H 2/ab (K, G) are used to give a functorial, almost explicit description of the usual Galois cohomology set H1 (K, G) when K is a number field