On mutually permutable products of generalized supersoluble subgroups of finite groups

被引：1
作者：
Myslovets, E. N. [1 ]
机构：
[1] F Scorina Gomel State Univ, Dept Math, Gomel 246000, BELARUS
来源：
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2016年 / 9卷 / 03期
关键词：
Finite group; J-group; c-supersoluble group; Jc-supersoluble group; mutually permutable products;
D O I：
10.1142/S1793557116500546
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let J be a class of finite simple groups. We say that a finite group G is a J-group if all composition factors of G are contained in J. A group G is called Jc-supersoluble if every chief J-factor of G is a simple group. In this paper, properties of mutually permutable products of Jc-supersoluble finite groups are studied. Some earlier results on mutually permutable products of c-supersoluble groups (SC-groups) appear as particular cases.
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页数：10
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