On the quasi-$\mathfrak{F}$-hypercenter of a finite group

V. I. Murashka

On the quasi-$\mathfrak{F}$-hypercenter of a finite group

Group Theory 2016-11-15 v1

Authors: V. I. Murashka

Abstract

In this paper some properties of the $\mathfrak{F}^*$ -hypercenter of a finite group are studied where $\mathfrak{F}^*$ is the class of all finite quasi- $\mathfrak{F}$ -groups for a hereditary saturated formation $\mathfrak{F}$ of finite groups. In particular, it is shown that the quasinilpotent hypercenter of a finite group coincides with the intersection of all maximal quasinilpotent subgroups.

Keywords

finite group quasi-$\mathfrak{F}$-group hypercenter hereditary saturated formation quasinilpotent maximal subgroup

Cite

@article{arxiv.1611.04507,
  title  = {On the quasi-$\mathfrak{F}$-hypercenter of a finite group},
  author = {V. I. Murashka},
  journal= {arXiv preprint arXiv:1611.04507},
  year   = {2016}
}

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