Quadratic pairs on biquaternion algebras

Tignol, Jean-Pierre
(2000) Algebra and Number Theory — ISBN: [0-8247-0341-3], p. 273-286, published

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Abstract
Quadratic pairs are a substitute for orthogonal involutions in characteristic 2. We prove an analogue of the Knus-Parimala-Sridharan criterion for the decomposition of orthogonal involutions on biquaternion algebras and show that every central element represents the discriminant of some quadratic pair and of some étale subalgebra of degree 4.
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Tignol, J.-P. (2000). Quadratic pairs on biquaternion algebras. In M. Boulagouaz (ed.), Algebra and Number Theory (p. p. 273-286). Marcel Dekker. https://hdl.handle.net/2078.5/268643