Finite Groups with Some s-semipermutable subgroups

Yangming Li

Finite Groups with Some s-semipermutable subgroups

Group Theory 2020-06-17 v1

Authors: Yangming Li

Abstract

Suppose that $G$ is a finite group and $H$ is a subgroup of $G$ . We say that $H$ is s-semipermutable in $G$ if $HG_p = G_pH$ for any Sylow $p$ -subgroup $G_p$ of $G$ with $(p, |H|) = 1$ . We investigate the influence of s-semipermutable subgroups on the structure of finite groups. Some recent results are generalized.

Keywords

finite group theory topological semigroups semigroup theory

Cite

@article{arxiv.2006.09139,
  title  = {Finite Groups with Some s-semipermutable subgroups},
  author = {Yangming Li},
  journal= {arXiv preprint arXiv:2006.09139},
  year   = {2020}
}

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