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

共 50 条

[41] On sse-embedded subgroups of finite groups
Li, Jinbao
Yang, Yong
COMMUNICATIONS IN ALGEBRA, 2020, 48 (01) : 441 - 452
[42] On s-semipermutable subgroups of finite groups
Li, Yang Ming
He, Xuan Li
Wang, Yan Ming
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2010, 26 (11) : 2215 - 2222
[43] A note on weakly closed subgroups of finite groups
Haoran Yu
Yi Lai
Monatshefte für Mathematik, 2016, 181 : 745 - 747
[44] A characterization of the hypercyclically embedded subgroups of finite groups
Skiba, Alexander N.
JOURNAL OF PURE AND APPLIED ALGEBRA, 2011, 215 (03) : 257 - 261
[45] On F h -supplemented subgroups of finite groups
Na, T.
SIBERIAN MATHEMATICAL JOURNAL, 2017, 58 (04) : 718 - 726
[46] Finite groups with systems of I£-embedded subgroups
Guo WenBin
Skiba, Alexander N.
SCIENCE CHINA-MATHEMATICS, 2011, 54 (09) : 1909 - 1926
[47] Finite groups with given weakly τσ-quasinormal subgroups
Hussain, Muhammad Tanveer
Cao, Chenehen
Zhang, Li
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2020, 49 (05): : 1706 - 1717
[48] A note on weakly closed subgroups of finite groups
Yu, Haoran
Lai, Yi
MONATSHEFTE FUR MATHEMATIK, 2016, 181 (03): : 745 - 747
[49] S-EMBEDDED SUBGROUPS OF FINITE GROUPS
Guo, Wenbin
Lu, Yi
Niu, Wenjuan
ALGEBRA AND LOGIC, 2010, 49 (04) : 293 - 304
[50] Finite index subgroups of mapping class groups
Berrick, A. J.
Gebhardt, V.
Paris, L.
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2014, 108 : 575 - 599

← 1 2 3 4 5 →