Transfer of quadratic forms and of quaternion algebras over quadratic field extensions

Two different proofs are given showing that a quaternion algebra Q defined over a quadratic ,tale extension K of a given field has a corestriction that is not a division algebra if and only if Q contains a quadratic algebra that is linearly disjoint from K. This is known in the case of a quadratic field extension in characteristic different from two. In the case where K is split, the statement recovers a well-known result on biquaternion algebras due to Albert and Draxl.

Publication year:2018

Keywords:A1 Journal article

BOF-keylabel:yes

BOF-publication weight:0.5

CSS-citation score:1

Authors:International

Authors from:Higher Education

Accessibility:Closed