The influence of c-subnormality subgroups on the structure of finite groups

被引：0

作者：

Jaraden, Dana ^{[1
]}

Ateiwi, Ali ^{[2
]}

Jaraden, Jehad ^{[2
]}

机构：

[1] Univ Jordan, Dept Math, Amman, Jordan

[2] Al Hussein Bin Talal Univ, Dept Math, Maan, Jordan

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2025年 / 32卷 / 01期

关键词：

p-nilpotent group; c-subnormal subgroup; Sylow subgroup; supersolvable group; MINIMAL SUBGROUPS; SYLOW SUBGROUPS; NORMALITY;

D O I：

10.1515/gmj-2024-2036

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H be a subgroup of a group G. We say that H is c-subnormal in G if there exists a subnormal subgroup T of G such that HT = G and H boolean AND T <= H-G, where H-G is the maximal normal subgroup of G which is contained in H. In this paper, we investigate the structure of a finite group G under the assumption that all maximal subgroups are c-subnormal subgroups and present some new conditions for supersolvability.

引用

页码：77 / 82

页数：6

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