English

The (2,3)-generation of the classical simple groups of dimension 6 and 7

Group Theory 2015-06-18 v2

Abstract

In this paper we prove that the finite simple groups PSp6(q)PSp_6(q), Ω7(q)\Omega_7(q) and PSU7(q2)PSU_7(q^2) are (2,3)-generated for all q. In particular, this result completes the classification of the (2,3)-generated finite classical simple groups up to dimension 7.

Keywords

Cite

@article{arxiv.1503.07056,
  title  = {The (2,3)-generation of the classical simple groups of dimension 6 and 7},
  author = {Marco Antonio Pellegrini},
  journal= {arXiv preprint arXiv:1503.07056},
  year   = {2015}
}