The image of the map from group cohomology to Galois cohomology

We study the image of the natural map from group cohomology to Galois cohomology by using motivic cohomology of classifying spaces.

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Bibliographic Details
Published in:	Transactions of the American Mathematical Society Vol. 363; no. 8; pp. 4475 - 4503
Main Authors:	TEZUKA, M., YAGITA, N.
Format:	Journal Article
Language:	English
Published:	Providence, RI American Mathematical Society 01-08-2011
Subjects:	Algebra Exact sciences and technology General mathematics General, history and biography Lie groups Linear algebra Logical proofs Mathematical rings Mathematical theorems Mathematics Number theory Quotients Sciences and techniques of general use Transcendentals Written composition motivic cohomology classifying spaces Cohomolgical invariant Motivic cohomology Cohomology group Image
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Description
Summary:	We study the image of the natural map from group cohomology to Galois cohomology by using motivic cohomology of classifying spaces.
ISSN:	0002-9947 1088-6850
DOI:	10.1090/S0002-9947-2011-05418-8