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Irreducible subgroups of symplectic groups in characteristic 2

Published online by Cambridge University Press:  09 April 2009

Christopher Parker  and
Peter Rowley
Christopher Parker
Affiliation:
School of Mathematics and Statistics, University of Birmingham, Edgbaston, Birmingham B15 2TT, United Kingdom e-mail: [email protected]
Peter Rowley
Affiliation:
Department of Mathematics, UMIST, P.O. Box 88, Manchester M60 1QD, United Kingdom e-mail: [email protected]
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Abstract

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Suppose that V is a finite dimensional vector space over a finite field of characteristic 2, G is the symplectic group on V and a is a non-zero vector of V. Here we classify irreducible subgroups of G containing a certain subgroup of O2(StabG(a)) all of whose non-trivial elements are 2-transvections.

Keywords

symplectic grouporthogonal group2-transvectionstransvections
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 73 , Issue 1 , August 2002 , pp. 85 - 96
Copyright
Copyright © Australian Mathematical Society 2002

References

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