English

Frattini Argument for Hall subgroups

Group Theory 2014-01-31 v1

Abstract

In the paper, it is proved that if a finite group GG possesses a π\pi-Hall subgroup for a set π\pi of primes, then every normal subgroup AA of GG possesses a π\pi-Hall subgroup HH such that G=ANG(H){G=AN_G(H)}.

Keywords

Cite

@article{arxiv.1401.7719,
  title  = {Frattini Argument for Hall subgroups},
  author = {Danila Revin and Evgeny Vdovin},
  journal= {arXiv preprint arXiv:1401.7719},
  year   = {2014}
}
R2 v1 2026-06-22T02:57:31.612Z