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Classical groups over division rings of characteristic two

Published online by Cambridge University Press:  17 April 2009

William M. Pender  and
G.E. Wall
William M. Pender
Affiliation:
Department of Pure Mathematics, University of Sydney, Sydney, New South Wales.
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Abstract

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The notion of quadratic form over a field of characteristic two is extended to an arbitrary division ring of characteristic two with an involution of the first kind. The resulting isometry groups are shown to have a simple normal subgroup and the structure of the factor group is calculated. It is indicated how one may define and analyse all the classical groups in a unified manner by means of quadratic forms.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 7 , Issue 2 , October 1972 , pp. 191 - 226
Copyright
Copyright © Australian Mathematical Society 1972

References

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