English

The $(2,p)$-generation of sporadic simple groups

Group Theory 2015-07-08 v1

Abstract

In this short note we prove that, if pp is an odd prime dividing the order of a sporadic simple group, then with the exception of four groups for p=3p=3, all sporadic simple groups are generated by an involution and an element of order pp.

Keywords

Cite

@article{arxiv.1507.01875,
  title  = {The $(2,p)$-generation of sporadic simple groups},
  author = {David A. Craven},
  journal= {arXiv preprint arXiv:1507.01875},
  year   = {2015}
}
R2 v1 2026-06-22T10:07:26.164Z