Uniform (2,k)-generation of the 4-dimensional classical groups
Group Theory
2015-03-17 v1
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 an arbitrary element of SL(2,q), subject to the necessary condition k>= 3. When q is even we allow also k=4.
Cite
@article{arxiv.1101.2358,
title = {Uniform (2,k)-generation of the 4-dimensional classical groups},
author = {M. A. Pellegrini and M. C. Tamburini Bellani and M. A. Vsemirnov},
journal= {arXiv preprint arXiv:1101.2358},
year = {2015}
}
Comments
29 pages