On the quasi-\mathfrakF-hypercenter of a finite group

2016/11/14 by Viachaslau I. Murashka, Murashka, V. I.
Mathematics · #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.1611.04507

openalex publication_date 2016/11/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper some properties of the \mathfrakF^*-hypercenter of a finite group are studied where \mathfrakF^* is the class of all finite quasi-\mathfrakF-groups for a hereditary saturated formation \mathfrakF 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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