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Constructing maximal subgroups of orthogonal groups

Part of: Structure and classification of infinite or finite groups Representation theory of groups Theory of computing Linear algebraic groups and related topics

Published online by Cambridge University Press:  01 May 2010

Derek F. Holt  and
Colva M. Roney-Dougal
Derek F. Holt
Affiliation:
Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom (email: [email protected])
Colva M. Roney-Dougal
Affiliation:
School of Mathematics and Statistics, University of St Andrews, St Andrews, Fife KY16 9SS, United Kingdom (email: [email protected])

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.

MSC classification

Secondary: 20D06: Simple groups 20E28: Maximal subgroups 20G40: Linear algebraic groups over finite fields 68Q25: Analysis of algorithms and problem complexity
Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 13 , January 2010 , pp. 164 - 191
Copyright
Copyright © London Mathematical Society 2010

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