Some generalizations of Springer’s theorem in characteristic two

DOI10.1142/s0219498824500117WikidataQ114072439 ScholiaQ114072439MaRDI QIDQ6084814

Amir Hossein Nokhodkar

Publication date: 2 December 2023

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

zbMATH Keywords

orthogonal involutionHermitian formquaternion algebracharacteristic twoSpringer's theoreminvolution of the first kindAmer-Brumer theoremodd-degree field extension

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Bilinear and Hermitian forms (11E39)

Cites Work

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• Hyperbolicity of orthogonal involutions
• Hyperbolic involutions
• Hermitian forms and systems of quadratic forms
• Quadratic \(D\)-forms with applications to Hermitian forms
• Involutions, odd degree extensions and generic splitting.
• Forms in Odd Degree Extensions and Self-Dual Normal Bases
• Quadratic descent of hermitian forms
• Hermitian analogue of a theorem of Springer

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