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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