JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2023, Vol. 58 ›› Issue (2): 1-5.doi: 10.6040/j.issn.1671-9352.0.2022.047

   

On the boundary factors of 2-maximal subgroups of finite groups

CHEN Xin-dan1, XU Li1*, MIAO Long2, LIU Wei1   

  1. 1. School of Mathematical Sciences, Yangzhou University, Yangzhou 225002, Jiangsu, China;
    2. College of Science, Hohai University, Nanjing 211100, Jiangsu, China
  • Published:2023-02-12

Abstract: Some 2-maximal subgroups of a finite group G are given, and the influence of the boundary factors of these 2-maximal subgroups on the structure of some classes of non-solvable groups is studied.

Key words: maximal subgroups, 2-maximal subgroups, cp-normal, G-boundary factor

CLC Number: 

  • O152.1
[1] DESKINS W E. A note on the index complex of a maximal subgroup[J]. Archiv Der Mathematik, 1990, 54(3):236-240.
[2] WANG Y M. C-normality of groups and its properties[J]. Journal of Algebra, 1996, 180(3):954-965.
[3] LV Y B, LI Y M. On cp-normal subgroups of finite groups[J]. Communications in Algebra, 2021, 49(4):1405-1414.
[4] GUO W, SKIBA A N, TANG X. On boundary factors and traces of subgroups of finite groups[J]. Communications in Mathematics and Statistics, 2014, 2(3/4):349-361.
[5] GAO Z C, LI J B, MIAO L. On CAPS*p-subgroups of finite groups[J]. Communications in Algebra, 2021, 49(3):1120-1127.
[6] WANG Y Y, MIAO L, GAO Z C, et al. The influence of second maximal subgroups on the generalized p-solvability of finite groups[J]. Communications in Algebra, 2022, 50(6):2584-2591.
[7] BIANCHI M, MAURI A G B, HAUCK P. On finite groups with nilpotent Sylow-normalizers[J]. Archiv Der Mathematik, 1986, 47(3):193-197.
[8] LIU W, MIAO L, WANG Y Y, et al. The influence of non-cp-normal subgroups on the structure of non-solvable groups[J]. Communications in Algebra, 2022, 50(11):4781-4790.
[1] GAO Hui, GAO Sheng-zhe*, YIN Li. θ-completions for subgroups and structure of groups#br# [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2014, 49(03): 43-45.
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