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
  • [41] Finite Groups with a Subnormality Condition
    Khosravi, H.
    SIBERIAN MATHEMATICAL JOURNAL, 2022, 63 (06) : 1223 - 1230
  • [42] A CONDITION FOR THE SUPERSOLVABILITY OF FINITE GROUPS
    Asaad, M.
    COMMUNICATIONS IN ALGEBRA, 2010, 38 (10) : 3616 - 3620
  • [43] A Solvability Criterion for Finite Groups Related to Character Degrees
    Miraali, Babak
    Robati, Sajjad Mahmood
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2020, 70 (04) : 1205 - 1209
  • [44] A note on p-nilpotence and solvability of finite groups
    Shi, Jiangtao
    Shi, Wujie
    Zhang, Cui
    JOURNAL OF ALGEBRA, 2009, 321 (05) : 1555 - 1560
  • [45] Normal sections, class sizes and solvability of finite groups
    Akhlaghi, Zeinab
    Beltran, Antonio
    Jose Felipe, Maria
    JOURNAL OF ALGEBRA, 2014, 399 : 220 - 231
  • [46] A CHARACTER-THEORETIC CRITERION FOR THE SOLVABILITY OF FINITE GROUPS
    Liu, Yan-Jun
    Liu, Yang
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2016, 94 (01) : 30 - 35
  • [47] C-normal subgroups and solvability of finite groups
    Liu, Guo-Gang
    Huanan Ligong Daxue Xuebao/Journal of South China University of Technology (Natural Science), 2004, 32 (11): : 93 - 96
  • [48] SOLVABILITY OF NORMAL-SUBGROUPS OF FINITE-GROUPS
    MONAKHOV, VS
    SELKIN, MV
    MATHEMATICAL NOTES, 1992, 51 (3-4) : 282 - 285
  • [49] A Solvability Criterion for Finite Groups Related to Character Degrees
    Babak Miraali
    Sajjad Mahmood Robati
    Czechoslovak Mathematical Journal, 2020, 70 : 1205 - 1209
  • [50] Orbits of maximal invariant subgroups and solvability of finite groups
    Shao, Changguo
    Beltran, Antonio
    JOURNAL OF ALGEBRA, 2019, 539 : 177 - 200
12345