Abelian Galois Cohomology of Reductive Groups (Memoirs of the American Mathematical Society)

Mikhail Borovoi

ISBN 10: 0821806505 / ISBN 13: 9780821806500

Published by Amer Mathematical Society, 1998

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Readable copy. Pages may have considerable notes/highlighting. ~ ThriftBooks: Read More, Spend Less 0.33.

Seller Inventory # G0821806505I5N00

Bibliographic Details

• Title: Abelian Galois Cohomology of Reductive Groups (Memoirs of the American Mathematical Society)
• Publisher: Amer Mathematical Society
• Publication Date: 1998
• Language: English
• ISBN 10: 0821806505
• ISBN 13: 9780821806500
• Binding: Hardcover
• Condition: Fair
• Dust Jacket Condition: No Jacket

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Synopsis

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.