English

On finite groups with all simple modules of low dimension in characteristic p

Group Theory 2021-02-09 v2 Representation Theory

Abstract

We give a short proof of the fact that if all characteristic p simple modules of the finite group G have dimension less than p, then G has a normal Sylow p-subgroup.

Keywords

Cite

@article{arxiv.2009.10602,
  title  = {On finite groups with all simple modules of low dimension in characteristic p},
  author = {Geoffrey R. Robinson},
  journal= {arXiv preprint arXiv:2009.10602},
  year   = {2021}
}

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2 pages