A STUDY ON THE STRUCTURE OF FINITE GROUPS WITH c- SUBNORMAL SUBGROUPS

被引：1

作者：

Al Jaraden, Jehad Jumah ^{[1
]}

Jaraden, Dana J. ^{[2
]}

机构：

[1] Al Hussein Bin Talal Univ, Dept Math, POB 20, Maan, Jordan

[2] Al Zaytoonah Univ Jordan, Dept Math, POB 130, Amman, Jordan

来源：

INTERNATIONAL JOURNAL OF GROUP THEORY | 2024年 / 13卷 / 04期

关键词：

Saturated formation; c- subnormal subgroup; sylow subgroup; supersoluble group; MINIMAL SUBGROUPS; SYLOW SUBGROUPS; NORMALITY;

D O I：

10.22108/ijgt.2023.137024.1847

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we use the definition of the concept "c-Subnormal Subgroup" to study the structure of a given finite group G which contains some c-subnormal subgroups. We prove two main theorems, which answer the question of what conditions must hold so that G is an element in a formation U of supersoluble groups. Finally, we state many previous results which can be considered as special cases of these theorems.

引用

页码：329 / 344

页数：16

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