Quadratic descent of generalized quadratic forms

Year 2024, Early Access, 1 - 11

Amir Hossein Nokhodkar

https://doi.org/10.24330/ieja.1480447

Abstract

Quadratic descent of generalized quadratic forms over a division algebra with involution of the first kind in characteristic two is investigated. Using the notion of transfer, it is shown that a system of quadratic forms, associated to such a generalized quadratic form, can be used to characterize its descent properties.

Keywords

Generalized quadratic form, system of quadratic forms, division algebra with involution, quadratic extension, quadratic descent

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