Abelian Galois Cohomology of Reductive Groups

Abelian Galois Cohomology of Reductive Groups
Author :
Publisher : American Mathematical Soc.
Total Pages : 65
Release :
ISBN-10 : 9780821806500
ISBN-13 : 0821806505
Rating : 4/5 (505 Downloads)

Book Synopsis Abelian Galois Cohomology of Reductive Groups by : Mikhail Borovoi

Download or read book Abelian Galois Cohomology of Reductive Groups written by Mikhail Borovoi and published by American Mathematical Soc.. This book was released on 1998 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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


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