Biquaternion division algebras over rational function fields Karim

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• Author: Karim Johannes Becher

Let E be a field of characteristic different from 2. Let
denote the rational function field over E, where t is a variable. It is easy to show that there exists a quaternion division algebra over if and only if E has some field extension of even degree. The purpose of this article is to provide sufficient conditions for the existence of a biquaternion division algebra over
which does not contain any quaternion algebra defined over E.

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