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The Descent of Biquaternion Algebras in Characteristic Two by Barry, Demba; Chapman, Adam; Laghribi, Ahmed is a scholarly article available to read on EtoBox.

What is The Descent of Biquaternion Algebras in Characteristic Two about?

In this paper we associate an invariant to a biquaternion algebra $B$ over a field $K$ with a subfield $F$ such that $K/F$ is a quadratic separable extension and $\operatorname{char}(F)=2$. We show that this invariant is trivial exactly when $B \cong B_0 \otimes K$ for some biquaternion algebra $B_0$ over $F$. We also study the behavior of this invariant under certain field extensions and provide several interesting examples.

Author

Barry, Demba; Chapman, Adam; Laghribi, Ahmed

Published

2018

Language

EN