English

A 3-local characterization of M_12 and SL_3(3)

Group Theory 2009-03-27 v2

Abstract

We identify the sporadic simple group M12\mathrm{M}_{12} and the simple group SL3(3)\mathrm{SL}_3(3) from some part of their 3-local structure and give a graph theoretic analogue of the resulting theorem.

Keywords

Cite

@article{arxiv.0810.2384,
  title  = {A 3-local characterization of M_12 and SL_3(3)},
  author = {Sarah Astill and Chris Parker},
  journal= {arXiv preprint arXiv:0810.2384},
  year   = {2009}
}