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arXiv · 2103.13354

Fitting like subgroups of finite groups

Viachaslau I. Murashka·Alexander F. Vasil'ev
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Abstract

In this paper the concept of $\mathbb{F}$-functorial of a finite group was introduced. These functorials have many properties of the Fitting subgroup of a soluble group and the generalized Fitting subgroup of a finite group. It was shown that the set of all $\mathbb{F}$-functorials is a complete distributive lattice and the cardinality of this lattice is continuum. The sharp bounds on the generalized Fitting height of mutually permutable product of two subgroups were obtained.

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Viachaslau I. Murashka, Alexander F. Vasil'ev. 2021-03-24. Fitting like subgroups of finite groups. https://arxiv.org/abs/2103.13354

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