Uniform (2,k)-generation of the 4-dimensional classical groups

Details Uniform (2,k)-generation of the 4-dimensional classical groups Uniform (2,k)-generation of the 4-dimensional classical groups

2011-01-12

arxiv.org/abs/1101.2358v1

Mathematics

Group Theory

29 pages

Scientific paper

In this paper we study the (2,k)-generation of the finite classical groups
SL(4,q), Sp(4,q), SU(4,q^2) and their projective images. Here k is the order of
an arbitrary element of SL(2,q), subject to the necessary condition k>= 3. When
q is even we allow also k=4.

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