J. Austral. Math. Soc.
73 (2002), 85-95
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Irreducible subgroups of symplectic groups in characteristic 2
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Christopher Parker
School of Mathematics and Statistics
University of Birmingham
Edgbaston
Birmingham B15 2TT
United Kingdom
cwp@for.mat.bham.ac.uk
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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
all of whose non-trivial elements are 2-transvections.
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