English

On the Frattini lemma

Group Theory 2012-02-28 v1

Abstract

Let KK be a subgroup of a finite group GG, and suppose that G=KNG(P)G=KN_G(P) for every Sylow subgroup PP of KK. Then the subgroup KK is normal in GG.

Keywords

Cite

@article{arxiv.1202.5736,
  title  = {On the Frattini lemma},
  author = {V. S. Monakhov},
  journal= {arXiv preprint arXiv:1202.5736},
  year   = {2012}
}
R2 v1 2026-06-21T20:25:11.809Z