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
收藏
页码：398 / 412
页数：15
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