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

V. I. Murashka

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arXiv · 1611.04507

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

V. I. Murashka

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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.

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V. I. Murashka. 2016-11-14. On the quasi-$\mathfrak{F}$-hypercenter of a finite group. https://arxiv.org/abs/1611.04507

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