(2,3)-generation of the special linear groups of dimensions 9, 10 and 11
Group Theory
2016-05-10 v5
Abstract
We prove that the groups PSL_n(q) are (2,3)-generated for n=9,10 or 11 and all q. Actually, we find out explicit generators x_n and y_n of respective orders 2 and 3, for the groups SL_n(q).
Keywords
Cite
@article{arxiv.1412.8631,
title = {(2,3)-generation of the special linear groups of dimensions 9, 10 and 11},
author = {E. Gencheva and Ts. Genchev and K. Tabakov},
journal= {arXiv preprint arXiv:1412.8631},
year = {2016}
}
Comments
13 pages