A FUNCTORIAL GENERALIZATION OF THE FITTING SUBGROUP IN FINITE GROUPS

被引：0

作者：

Murashko, V. I. ^{[1
]}

Vasil'ev, A. F. ^{[1
]}

机构：

[1] Skorina Gomel State Univ, Gomel, BELARUS

来源：

ALGEBRA AND LOGIC | 2024年

关键词：

finite group; Fitting subgroup; generalized Fitting subgroup; functorial; Plotkin radical;

D O I：

10.1007/s10469-024-09754-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the functional approach of R. Baer and B. I. Plotkin, we introduce and study the notion of F-functorial whose values are characteristic subgroups of a finite group that possess certain properties of the Fitting subgroup. The lattice and semigroups of F-functorials are described, the interrelation between F-functorials and classes of groups is established, a characterization of their values is given in terms of group's elements inducing inner automorphisms on specified chief factors.

引用

页码：398 / 412

页数：15

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