Fitting like subgroups of finite groups
Group Theory
2021-03-25 v1
Abstract
In this paper the concept of -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 -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.
Cite
@article{arxiv.2103.13354,
title = {Fitting like subgroups of finite groups},
author = {Viachaslau I. Murashka and Alexander F. Vasil'ev},
journal= {arXiv preprint arXiv:2103.13354},
year = {2021}
}