Biquaternion algebras, chain lemma and symbol length

DOI10.1007/s00009-023-02457-4arXiv2306.08525OpenAlexW4382059277WikidataQ125025840 ScholiaQ125025840MaRDI QIDQ6095328

Adam Chapman, Kelly McKinnie

Publication date: 8 September 2023

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.08525

zbMATH Keywords

quaternion algebrasdivision algebrascyclic algebrasbiquaternion algebraschain lemmafields of characteristic 2, 10-dimensional quadratic form

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Finite-dimensional division rings (16K20)

Cites Work

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• On associative division algebras
• Quadratic forms over arbitrary fields
• Symbol length of classes in Milnor 𝐾-groups
• Common splitting fields of symbol algebras