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

[21] Finite groups with normally embedded subgroups
Shen, Zhencai
Li, Shirong
Shi, Wujie
JOURNAL OF GROUP THEORY, 2010, 13 (02) : 257 - 265
[22] On Π-property and Π-normality of subgroups of finite groups
Li, Baojun
JOURNAL OF ALGEBRA, 2011, 334 (01) : 321 - 337
[23] On weakly τ-quasinormal subgroups of finite groups
Lukyanenko, V. O.
Skiba, A. N.
ACTA MATHEMATICA HUNGARICA, 2009, 125 (03) : 237 - 248
[24] Intersection of maximal subgroups which are not minimal nonabelian of finite p-groups
Zhang, Lihua
COMMUNICATIONS IN ALGEBRA, 2017, 45 (08) : 3221 - 3230
[25] On p-nilpotency of finite groups with some, subgroups c-supplemented
Guo, XY
Shum, KP
ALGEBRA COLLOQUIUM, 2003, 10 (03) : 259 - 266
[26] s-Conditionally Permutable Subgroups and p-Nilpotency of Finite Groups
Xu, Y.
Li, X. H.
UKRAINIAN MATHEMATICAL JOURNAL, 2014, 66 (06) : 961 - 967
[27] Semipermutable subgroups and s-semipermutable subgroups in finite groups
Li, Yangming
FRONTIERS OF MATHEMATICS IN CHINA, 2022, 17 (01) : 23 - 46
[28] On the normal indices of proper subgroups of finite groups
Li, Xianhua
Zhang, Xinjian
JOURNAL OF PURE AND APPLIED ALGEBRA, 2010, 214 (07) : 1285 - 1290
[29] A NOTE ON PRIMITIVE SUBGROUPS OF FINITE SOLVABLE GROUPS
He, Xuanli
Qiao, Shouhong
Wang, Yanming
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 28 (01): : 55 - 62
[30] THE nc-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS
Guo, S.
Liu, S.
Shi, W.
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2013, 39 (06) : 1213 - 1222

← 1 2 3 4 5 →