On second maximal subgroups with core relation in finite groups

被引：0
|
作者：
Miao, Long [1 ]
Zhou, Wenxia [1 ]
Gao, Zhichao [2 ]
Gao, Baijun [3 ]
Liu, Wei [4 ]
机构：
[1] Hohai Univ, Sch Math, Nanjing, Peoples R China
[2] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China
[3] Yili Normal Univ, Coll Math & Stat, Yining, Xinjiang, Peoples R China
[4] Yangzhou Univ, Sch Math Sci, Yangzhou, Peoples R China
来源：
COMMUNICATIONS IN ALGEBRA | 2024年 / 52卷 / 06期
关键词：
phi-simple subgroups; Frattini subgroups; maximal subgroups; second maximal subgroups; the core of subgroups;
D O I：
10.1080/00927872.2023.2301520
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we will investigate the structure of groups with the property of the core relation between some second maximal subgroups and corresponding maximal subgroups, and obtained some new results about finite groups.ARTICLE HISTORY Received 7 September 2023 Revised 13 December 2023 Communicated by Mandi Schaeffer Fry
引用
收藏
页码：2430 / 2436
页数：7
相关论文
共 50 条
  • [1] On second maximal subgroups of Sylow subgroups of finite groups
    Ballester-Bolinches, A.
    Ezquerro, Luis M.
    Skiba, Alexander N.
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2011, 215 (04) : 705 - 714
  • [2] Finite groups with abelian second maximal subgroups
    Meng, Wei
    Chen, Wei
    Lu, Jiakuan
    COMMUNICATIONS IN ALGEBRA, 2020, 48 (04) : 1577 - 1583
  • [3] Finite groups with subnormal second or third maximal subgroups
    Yu. V. Lutsenko
    A. N. Skiba
    Mathematical Notes, 2012, 91 : 680 - 688
  • [4] Finite groups with subnormal second or third maximal subgroups
    Lutsenko, Yu. V.
    Skiba, A. N.
    MATHEMATICAL NOTES, 2012, 91 (5-6) : 680 - 688
  • [5] SOME NOTES ON THE SECOND MAXIMAL SUBGROUPS OF FINITE GROUPS
    Zhang, J.
    Gao, Zh.
    Miao, L.
    SIBERIAN MATHEMATICAL JOURNAL, 2021, 62 (01) : 178 - 181
  • [6] Some Notes on the Second Maximal Subgroups of Finite Groups
    J. Zhang
    Zh. Gao
    L. Miao
    Siberian Mathematical Journal, 2021, 62 : 178 - 181
  • [7] Second Maximal Invariant Subgroups and Solubility of Finite Groups
    Changguo Shao
    Antonio Beltrán
    Communications in Mathematics and Statistics, 2024, 12 : 45 - 54
  • [8] Second Maximal Invariant Subgroups and Solubility of Finite Groups
    Shao, Changguo
    Beltran, Antonio
    COMMUNICATIONS IN MATHEMATICS AND STATISTICS, 2024, 12 (01) : 45 - 54
  • [9] On the partial Π-property of second minimal or second maximal subgroups of Sylow subgroups of finite groups
    Qiu, Zhengtian
    Chen, Guiyun
    Liu, Jianjun
    COMMUNICATIONS IN ALGEBRA, 2024, 52 (12) : 5203 - 5214
  • [10] FINITE GROUPS ALL OF WHOSE SECOND MAXIMAL SUBGROUPS ARE H*-GROUPS
    Zhong, Xianggui
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2013, 24 (04)
12345