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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

The image of the map from group cohomology to Galois cohomology


Authors: M. Tezuka and N. Yagita
Journal: Trans. Amer. Math. Soc. 363 (2011), 4475-4503
MSC (2010): Primary 11E72, 12G05; Secondary 55R35
Published electronically: March 14, 2011
MathSciNet review: 2792997
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Abstract: 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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Additional Information

M. Tezuka
Affiliation: Department of Mathematics, Faculty of Science, Ryukyu University, Okinawa, Japan
Email: tez@sci.u-ryukyu.ac.jp

N. Yagita
Affiliation: Department of Mathematics, Faculty of Education, Ibaraki University, Mito, Ibaraki, Japan
Email: yagita@mx.ibaraki.ac.jp

DOI: http://dx.doi.org/10.1090/S0002-9947-2011-05418-8
PII: S 0002-9947(2011)05418-8
Keywords: Cohomolgical invariant, classifying spaces, motivic cohomology
Received by editor(s): April 22, 2009
Received by editor(s) in revised form: February 11, 2010, and June 3, 2010
Published electronically: March 14, 2011
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.