Finite groups in which all subgroups of non-prime-power order are TI-subgroups

被引:1
|
作者
Shi, Jiangtao [1 ]
机构
[1] Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Peoples R China
来源
INDAGATIONES MATHEMATICAE-NEW SERIES | 2018年 / 29卷 / 05期
关键词
Finite group; Subgroups of non-prime-power order; TI-subgroups; Frobenius groups;
D O I
10.1016/j.indag.2018.05.003
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A subgroup of a finite group is called an NPPO-subgroup if it has non-prime-power order. In this paper the finite groups in which all NPPO-subgroups are TI-subgroups, will be classified. (C) 2018 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码:1210 / 1213
页数:4
相关论文
共 50 条
  • [41] On the Partial Π-Property of Some Subgroups of Prime Power Order of Finite Groups
    Qiu, Zhengtian
    Liu, Jianjun
    Chen, Guiyun
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2024, 21 (02)
  • [42] FINITE GROUPS WHOSE NON-NORMAL SUBGROUPS ARE OF PRIME ORDER
    Shi, Huaguo
    Han, Zhangjia
    Jiang, Lei
    COLLOQUIUM MATHEMATICUM, 2019, 157 (02) : 309 - 316
  • [43] Class-Preserving Coleman Automorphisms of Finite Groups Whose Second Maximal Subgroups Are TI-Subgroups
    Zhengxing LI
    Jinke HAI
    数学研究及应用, 2013, 33 (02) : 241 - 245
  • [44] FINITE GROUPS WITH SOME SUBGROUPS OF PRIME POWER ORDER C-SUPPLEMENTED
    Zhong Xianggui
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2009, 40 (04): : 267 - 273
  • [45] FINITE GROUPS WITH CERTAIN SUBGROUPS OF PRIME POWER ORDER c-SUPPLEMENTED
    Al-Mestady, Mohammed O.
    JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2011, 21 (02): : 157 - 168
  • [46] On c-normality of certain subgroups of prime power order of finite groups
    M. Ramadan
    M. Ezzat. Mohamed
    A. A. Heliel
    Archiv der Mathematik, 2005, 85 : 203 - 210
  • [47] Finite supersolvable groups and Hall normally embedded subgroups of prime power order
    Zheng, Weicheng
    Meng, Wei
    RICERCHE DI MATEMATICA, 2024, : 1199 - 1206
  • [48] On non-normal cyclic subgroups of prime order or order 4 of finite groups
    Guo, Pengfei
    Han, Zhangjia
    OPEN MATHEMATICS, 2021, 19 : 63 - 68
  • [49] The influence of quasinormality of some subgroups of prime power order on the structure of finite groups
    Ramadan, M
    ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 1999, 24 (2A): : 183 - 186
  • [50] On c-normality of certain subgroups of prime power order of finite groups
    Ramadan, M
    Mohamed, ME
    Heliel, AA
    ARCHIV DER MATHEMATIK, 2005, 85 (03) : 203 - 210