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 any arbitrary element of SL(2,q), subject to the necessary condition k>2. When q is even we allow also k=4.
Tamburini Bellani, M. C., Vsemirnov, M., Pellegrini, M. A., Uniform (2,k)-generation of the 4-dimensional classical groups, <<JOURNAL OF ALGEBRA>>, 2012; (369): 322-350. [doi:10.1016/j.jalgebra.2012.06.027] [http://hdl.handle.net/10807/27932]
Uniform (2,k)-generation of the 4-dimensional classical groups
Tamburini Bellani, Maria Clara;Vsemirnov, Maxim;Pellegrini, Marco Antonio
2012
Abstract
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 any arbitrary element of SL(2,q), subject to the necessary condition k>2. When q is even we allow also k=4.
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