On p-CAP-subgroups of finite groups

被引：2

作者：

Gao, Zhichao ^{[1
]}

Qiao, Shouhong ^{[2
]}

Shi, Huaguo ^{[3
]}

Miao, Long ^{[1
]}

机构：

[1] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Jiangsu, Peoples R China

[2] Guangdong Univ Technol, Sch Appl Math, Guangzhou 510520, Peoples R China

[3] Sichuan Vocat & Tech Coll, Educ Fac, Suining 629000, Peoples R China

来源：

FRONTIERS OF MATHEMATICS IN CHINA | 2020年 / 15卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Maximal subgroups; 2-maximal subgroups; p-CAP-subgroups;

D O I：

10.1007/s11464-020-0866-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Suppose that G is a finite group and H is a subgroup of G. H is said to be a p-CAP-subgroup of G if H either covers or avoids each pd-chief factor of G. We give some characterizations for a group G to be p-solvable under the assumption that some subgroups of G are p-CAP-subgroups of G.

引用

页码：915 / 921

页数：7

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