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Constructing maximal subgroups of orthogonal groups

Published online by Cambridge University Press:  01 May 2010

Derek F. Holt
Affiliation:
Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom (email: d.f.holt@warwick.ac.uk)
Colva M. Roney-Dougal
Affiliation:
School of Mathematics and Statistics, University of St Andrews, St Andrews, Fife KY16 9SS, United Kingdom (email: colva@mcs.st-and.ac.uk)

Abstract

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In this paper we construct the maximal subgroups of geometric type of the orthogonal groups in dimension d over GF(q) in O(d3+d2log q+log qlog log q) finite field operations.

Type
Research Article
Copyright
Copyright © London Mathematical Society 2010

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