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Licensed Unlicensed Requires Authentication Published by De Gruyter July 16, 2008

On intersections of classical groups

  • Peter A. Brooksbank and E. A. O'Brien
From the journal Journal of Group Theory

Abstract

We describe the structure of the subgroup of the general linear group defined over a finite field that preserves two bilinear or sesquilinear forms of the same classical type, at least one of which is non-degenerate. This description underpins an algorithm to construct the intersection of two classical groups of the same type.

Received: 2007-01-23
Revised: 2007-09-20
Published Online: 2008-07-16
Published in Print: 2008-July

© de Gruyter 2008

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