English

A 3-Local Characterization of the Harada--Norton Sporadic Simple Group

Group Theory 2012-09-26 v1

Abstract

We provide 3-local characterizations of the Harada--Norton sporadic simple group and its automorphism group. Both groups are examples of groups of parabolic characteristic three and we identify them from the structure of the normalizer of the centre of a Sylow 3-subgroup.

Keywords

Cite

@article{arxiv.1209.5531,
  title  = {A 3-Local Characterization of the Harada--Norton Sporadic Simple Group},
  author = {Sarah Astill},
  journal= {arXiv preprint arXiv:1209.5531},
  year   = {2012}
}