Finite groups with certain subgroups of prime power order complemented

被引：4
|
作者：
Qian, Guohua [1 ]
Tang, Feng [1 ]
机构：
[1] Changshu Inst Technol, Dept Math, Changshu 215500, Jiangsu, Peoples R China
来源：
JOURNAL OF ALGEBRA | 2015年 / 423卷
基金：
中国国家自然科学基金;
关键词：
Finite group; Complemented subgroup;
D O I：
10.1016/j.jalgebra.2014.11.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let P be a Sylow p-subgroup of a finite group G, and m be a given integer satisfying 1 <= m <= -1 + log(p) |P|. We investigate the structure of G under the assumption that all subgroups of P with order p(m) are complemented in G. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：950 / 962
页数：13
相关论文
共 50 条
  • [41] FINITE GROUPS WITH SOME NON-ABELIAN SUBGROUPS OF NON-PRIME-POWER ORDER
    Meng, Wei
    Yao, Hailou
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2016, 47 (04): : 733 - 739
  • [42] On S-Quasinormal and C-Normal Subgroups of Prime Power Order in Finite Groups
    He, Xuanli
    Li, Shirong
    Liu, Xiaochun
    ALGEBRA COLLOQUIUM, 2011, 18 (04) : 685 - 692
  • [43] FINITE GROUPS WHOSE NON-NORMAL SUBGROUPS ARE OF PRIME ORDER
    Shi, Huaguo
    Han, Zhangjia
    Jiang, Lei
    COLLOQUIUM MATHEMATICUM, 2019, 157 (02) : 309 - 316
  • [44] Complemented subgroups and p-nilpotence in finite groups
    Qiao, Shouhong
    Isaacs, I. M.
    Li, Yangming
    ARCHIV DER MATHEMATIK, 2012, 98 (05) : 403 - 411
  • [45] Finite groups with complemented minimal p-subgroups
    Zeng, Yu
    COMMUNICATIONS IN ALGEBRA, 2020, 48 (02) : 644 - 650
  • [46] On m-S-complemented subgroups of finite groups
    Al-Sharo, Khaled A.
    Sharo, Abdulla A.
    RIVISTA DI MATEMATICA DELLA UNIVERSITA DI PARMA, 2018, 9 (02): : 351 - 363
  • [47] FINITE-GROUPS WITH COMPLEMENTED NORMALIZERS OF SYLOW SUBGROUPS
    DOKTOROV, IP
    MATHEMATICAL NOTES, 1978, 24 (1-2) : 584 - 588
  • [48] The influence of complemented minimal subgroups on the structure of finite groups
    Lu, Jiakuan
    Li, Shirong
    Guo, Xiuyun
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2010, 76 (3-4): : 481 - 491
  • [49] Complemented subgroups and p-nilpotence in finite groups
    Shouhong Qiao
    I. M. Isaacs
    Yangming Li
    Archiv der Mathematik, 2012, 98 : 403 - 411
  • [50] On p-nilpotency of finite groups with some c-supplemented subgroups of prime power order
    Li, YM
    Wang, YM
    Wei, HQ
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2006, 68 (1-2): : 77 - 88
12345