Splitting quaternion algebras defined over a finite field extension

DOI10.1142/S021949882250061XzbMath1500.12003arXiv1910.01868OpenAlexW3117955437MaRDI QIDQ5062337

Fatma Kader Bingöl, Karim Johannes Becher, David B. Leep

Publication date: 15 March 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.01868

zbMATH Keywords

exponentindexquaternion algebracentral simple algebrasplitting fieldcharacteristic twocorestrictionsystem of quadratic forms2-extension

Mathematics Subject Classification ID

Algebraic theory of quadratic forms; Witt groups and rings (11E81) Finite-dimensional division rings (16K20) Skew fields, division rings (12E15)

Related Items (1)

Symbol length in positive characteristic

Cites Work

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• Splitting fields of central simple algebras of exponent two
• Division algebras of exponent 2 and characteristic 2
• A reciprocity law for \(K_2\)-traces
• Central simple algebras
• Involutions and stable subalgebras
• On central division algebras
• On the symbol length of -algebras
• Systems of quadratic forms.

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