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Abelian 2-subgroups of finite symplectic groups in characteristic 2

Part of: Linear algebraic groups and related topics

Published online by Cambridge University Press:  09 April 2009

M. J. J. Barry  and
W. J. Wong
M. J. J. Barry
Affiliation:
Mathematics Department Our Lady of Mercy CollegeCarysfort ParkBlackrock Co. Dublin, Ireland
W. J. Wong
Affiliation:
Department of Mathematics University of Notre DameNotre Dame, Indiana 46556, U.S.A.
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Abstract

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If Sp(V) is the symplectic group of a vector space V over a finite field of characteristic p, and r is a positive integer, the abelian p-subgroups of largest order in Sp(V) whose fixed subspaces in V have dimension at least r were determined in the preceding paper, in the case p ≠ 2. Here we deal with the case p = 2. Our results also complete earlier work on the orthogonal groups.

MSC classification

Secondary: 20G40: Linear algebraic groups over finite fields
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 33 , Issue 3 , December 1982 , pp. 345 - 350
Copyright
Copyright © Australian Mathematical Society 1982

References

Dieudonné, J. (1955), La géométrie des groupes classiques (Springer-Verlag, Berlin).Google Scholar
Wong, W. J. (1981), ‘Abelian unipotent subgroups of finite orthogonal groups,’ J. Austral. Math. Soc. Ser. A 32, 223–245.CrossRefGoogle Scholar
Wong, W. J. (1982), ‘Abelian unipotent subgroups of finite unitary and symplectic groups,’ J. Austral. Math. Soc. Ser. A 33, 331–344.CrossRefGoogle Scholar