English

The uniqueness of $PSU_3(8)$ in the Monster

Group Theory 2017-08-16 v1

Abstract

As a contribution to an eventual solution of the problem of determination of the maximal subgroups of the Monster we show that there is a unique conjugacy class of subgroups isomorphic to PSU3(8)PSU_3(8). The argument depends on some computations in various subgroups, but not on computations in the Monster itself.

Keywords

Cite

@article{arxiv.1608.03804,
  title  = {The uniqueness of $PSU_3(8)$ in the Monster},
  author = {Robert A. Wilson},
  journal= {arXiv preprint arXiv:1608.03804},
  year   = {2017}
}