| Title: | Fitting like subgroups of finite groups |
| Authors: | Murashka, V.I. Vasil’ev, A.F. Мурашко, В.И. Васильев, А.Ф. |
| Keywords: | Finite group Fitting subgroup generalized Fitting subgroup F-functorial functorial complete distributive lattice mutually permutable product nilpotent height |
| Issue Date: | 2021 |
| Citation: | Murashka, V.I. Fitting like subgroups of finite groups / V.I. Murashka, A.F. Vasil’ev // arXiv.org.math.GR. - 2021. - arXiv:2103.13354v1. - P. [1-17]. |
| Abstract: | In this paper the concept of 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 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. |
| URI: | https://elib.gsu.by/handle123456789/73241 |
| Appears in Collections: | Статьи |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Murashka_Fitting.pdf | 247.45 kB | Adobe PDF | View/Open |
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