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SYMMETRIC SQUARE-CENTRAL ELEMENTS IN PRODUCTS OF ORTHOGONAL INVOLUTIONS IN CHARACTERISTIC TWO

Part of: Rings and algebras with additional structure Forms and linear algebraic groups Division rings and semisimple Artin rings

Published online by Cambridge University Press:  17 August 2017

A.-H. NOKHODKAR
A.-H. NOKHODKAR*
Affiliation:
Department of Pure Mathematics, Faculty of Science, University of Kashan, PO Box 87317-51167, Kashan, Iran email a.nokhodkar@kashanu.ac.ir
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Abstract

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In characteristic two, some criteria are obtained for a symmetric square-central element of a totally decomposable algebra with orthogonal involution, to be contained in an invariant quaternion subalgebra.

Keywords

central simple algebratotally decomposable algebrasquare-central elementorthogonal involutionquaternion subalgebra

MSC classification

Primary: 16W10: Rings with involution; Lie, Jordan and other nonassociative structures
Secondary: 16K20: Finite-dimensional 11E39: Bilinear and Hermitian forms
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 96 , Issue 3 , December 2017 , pp. 412 - 425
Copyright
© 2017 Australian Mathematical Publishing Association Inc. 

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