English

A characterization of PSL(2,q), q = 5,7

Group Theory 2016-02-22 v1

Abstract

In this short note we prove that the finite non-abelian simple groups PSL(2,q), where q = 5,7, are determined by their posets of classes of isomorphic subgroups. In particular, this disproves the conjecture in the end of [5].

Keywords

Cite

@article{arxiv.1602.06018,
  title  = {A characterization of PSL(2,q), q = 5,7},
  author = {Marius Tarnauceanu},
  journal= {arXiv preprint arXiv:1602.06018},
  year   = {2016}
}