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arXiv · 2306.08525

Biquaternion Algebras, Chain Lemma and Symbol Length

Adam Chapman·Kelly McKinnie
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Abstract

In this note, we present a chain lemma for biquaternion algebras over fields of characteristic 2 in the style of the equivalent chain lemma by Sivatski in characteristic not 2, and conclude a bound on the symbol length of classes in ${_{2^n}Br}(F)$ whose symbol length in ${_{2^{n+1}}Br}(F)$ is at most 4.

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Adam Chapman, Kelly McKinnie. 2023-06-14. Biquaternion Algebras, Chain Lemma and Symbol Length. https://arxiv.org/abs/2306.08525

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