A condition for the solvability of finite groups

被引：11
|
作者：
Miao, L. [1 ]
Qian, G. [2 ]
机构：
[1] Yangzhou Univ, Yangzhou, Peoples R China
[2] Changshu Inst Technol, Changshu, Jiangsu, Peoples R China
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2009年 / 50卷 / 04期
关键词：
solvable group; Sylow subgroup; M-supplemented subgroup; finite group; SUBGROUPS;
D O I：
10.1007/s11202-009-0078-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A subgroup H is called a"(3)-supplemented in a finite group G, if there exists a subgroup B of G such that G = HB and H (1) B is a proper subgroup of G for every maximal subgroup H (1) of H. We investigate the influence of a"(3)-supplementation of Sylow subgroups and obtain a condition for solvability and p-supersolvability of finite groups.
引用
收藏
页码：687 / 691
页数：5
相关论文
共 50 条
  • [21] A characterization of solvability for finite groups in terms of their frame
    Fumagalli, Francesco
    JOURNAL OF ALGEBRA, 2009, 322 (06) : 1919 - 1945
  • [22] Uniquely factorizable elements and solvability of finite groups
    Kaplan, Gil
    Levy, Dan
    ARCHIV DER MATHEMATIK, 2006, 86 (06) : 490 - 498
  • [23] Conjugacy class sizes and solvability of finite groups
    Qingjun Kong
    Monatshefte für Mathematik, 2012, 168 : 267 - 271
  • [24] Invariant Sylow subgroups and solvability of finite groups
    Beltran, Antonio
    ARCHIV DER MATHEMATIK, 2016, 106 (02) : 101 - 106
  • [25] On BNA-normality and solvability of finite groups
    He, X.
    Li, S.
    Wang, Y.
    RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2016, 136 : 51 - 60
  • [26] Conjugacy class sizes and solvability of finite groups
    QINHUI JIANG
    CHANGGUO SHAO
    Proceedings - Mathematical Sciences, 2013, 123 : 239 - 244
  • [27] Conjugacy class sizes and solvability of finite groups
    Jiang, Qinhui
    Shao, Changguo
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2013, 123 (02): : 239 - 244
  • [28] Some sufficient conditions on solvability of finite groups
    Meng, Wei
    Lu, Jiakuan
    Ma, Li
    Ma, Wanqing
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2016, 15 (03)
  • [29] Signs of p-solvability for finite groups
    Tyutyanov, VN
    DOKLADY AKADEMII NAUK BELARUSI, 1999, 43 (06): : 26 - 28
  • [30] On solvability of groups with a finite nilpotent supercomplemented subgroup
    Trebenko D.Y.
    Trebenko O.A.
    Journal of Mathematical Sciences, 2010, 169 (5) : 713 - 716
12345