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
收藏
页码：915 / 921
页数：7
相关论文
共 50 条
  • [1] On p-CAP-subgroups of finite groups
    Zhichao Gao
    Shouhong Qiao
    Huaguo Shi
    Long Miao
    Frontiers of Mathematics in China, 2020, 15 : 915 - 921
  • [2] On partial CAP*-subgroups of finite groups
    Tang, Xingzheng
    Guo, Wenbin
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2017, 16 (01)
  • [3] On partial CAP-subgroups of finite groups
    Ballester-Bolinehes, Adolfo
    Ezquerro, Luis M.
    Li, Yangming
    Su, Ning
    JOURNAL OF ALGEBRA, 2015, 431 : 196 - 208
  • [4] A question on partial CAP-subgroups of finite groups
    Ballester-Bolinches, Adolfo
    Esteban-Romero, Ramon
    Li YangMing
    SCIENCE CHINA-MATHEMATICS, 2012, 55 (05) : 961 - 966
  • [5] The intersection of subgroups of finite p-groups
    Qinhai Zhang
    Junjun Wei
    Archiv der Mathematik, 2011, 96 : 9 - 17
  • [6] The intersection of subgroups of finite p-groups
    Zhang, Qinhai
    Wei, Junjun
    ARCHIV DER MATHEMATIK, 2011, 96 (01) : 9 - 17
  • [7] p-Nilpotent Maximal Subgroups in Finite Groups
    Beltran, Antonio
    Shao, Changguo
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2025, 22 (01)
  • [8] π-Quasinormally embedded subgroups and p-nilpotency of finite groups
    Xu, Yong
    Chen, Guiyun
    COMMUNICATIONS IN ALGEBRA, 2021, 49 (01) : 421 - 426
  • [9] ON τ-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS
    Li, Changwen
    Zhang, Xuemei
    Yi, Xiaolan
    MISKOLC MATHEMATICAL NOTES, 2013, 14 (03) : 997 - 1008
  • [10] On CAPSp*-subgroups of finite groups
    Gao, Zhichao
    Li, Jinbao
    Miao, Long
    COMMUNICATIONS IN ALGEBRA, 2021, 49 (03) : 1120 - 1127
12345