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

£42.50
Paperback 50 Pages / Published: 30/03/1998
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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.

Publisher: American Mathematical Society
ISBN: 9780821806500
Number of pages: 50
Weight: 142 g

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