On finite $ca$-$\mathfrak F$ groups and their applications

Evgeniy N. Myslovets; Alexander F. Vasil'ev

On finite $ca$-$\mathfrak F$ groups and their applications

Group Theory 2016-03-15 v1

Authors: Evgeniy N. Myslovets , Alexander F. Vasil'ev

Abstract

Let $\mathfrak F$ be a class of groups. A group $G$ is called $ca$ - $\mathfrak F$ -group if its every non-abelian chief factor is simple and $H/K \leftthreetimes C_G(H/K) \in \mathfrak F$ for every abelian chief factor $H/K$ of $G$ . In this paper, we investigate the structure of a finite $ca$ - $\mathfrak F$ -group. Properties of mutually permutable products of finite $ca$ - $\mathfrak F$ -groups are studied.

Keywords

finite group theory group theory wreath product of groups

Cite

@article{arxiv.1603.04018,
  title  = {On finite $ca$-$\mathfrak F$ groups and their applications},
  author = {Evgeniy N. Myslovets and Alexander F. Vasil'ev},
  journal= {arXiv preprint arXiv:1603.04018},
  year   = {2016}
}

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