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Fitting Like Subgroups of Finite Groups by Murashka, Viachaslau I.; Vasil'ev, Alexander F. is a scholarly article available to read on EtoBox.

What is Fitting Like Subgroups of Finite Groups about?

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.

Author

Murashka, Viachaslau I.; Vasil'ev, Alexander F.

Published

2021

Language

EN