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Publication Date:
May 2007
ISSN:
1435-5345
DOI:
10.1515/CRELLE.2007.032

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Journal für die reine und angewandte Mathematik

Managing Editor: Weissauer, Rainer

Ed. by Colding, Tobias / Cuntz, Joachim / Huybrechts, Daniel / Hwang, Jun-Muk

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The group SK2 of a biquaternion algebra

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Citation Information: Journal für die reine und angewandte Mathematik (Crelles Journal). Volume 2007, Issue 605, Pages 193–235, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: 10.1515/CRELLE.2007.032, May 2007

Publication History:
Received:
2004-01-12
Revised:
2006-02-21
Published Online:
2007-05-24

Abstract

M. Rost has proved the existence of an exact sequence relating the group SK 1—kernel of the reduced norm for K 1—of a biquaternion algebra D whose center is a field F with Galois cohomology groups of F. In this paper, we relate the group SK 2—kernel of the reduced norm for K 2—of D with Galois cohomology of F through an exact sequence.

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