On weakly-supplemented subgroups and the solvability of finite groups

被引：1

作者：

Zhou, Qiang ^{[1
,2
]}

机构：

[1] Southeast Univ, Sch Automat, Nanjing 210096, Jiangsu, Peoples R China

[2] Xinyang Normal Univ, Coll Math & Stat, Xinyang 464000, Peoples R China

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2019年 / 69卷 / 02期

关键词：

weakly-supplemented subgroup; complemented subgroup; solvable group;

D O I：

10.21136/CMJ.2018.0301-17

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A subgroup H of a finite group G is weakly-supplemented in G if there exists a proper subgroup K of G such that G = HK. In this paper, some interesting results with weakly-supplemented minimal subgroups or Sylow subgroups of G are obtained.

引用

页码：331 / 335

页数：5

共 7 条

[1] NEW CRITERIA FOR THE SOLVABILITY OF FINITE-GROUPS
ARAD, Z
WARD, MB
[J]. JOURNAL OF ALGEBRA, 1982, 77 (01) : 234 - 246
[2] Doerk K., 1992, DEGRUYTER EXPOSITION, V4
[3] SUBGROUPS OF PRIME POWER INDEX IN A SIMPLE-GROUP
GURALNICK, RM
[J]. JOURNAL OF ALGEBRA, 1983, 81 (02) : 304 - 311
[4] Hall P., 1937, J LOND MATH SOC, V12, P198
[5] Hall P., 1937, J LOND MATH SOC, P201, DOI DOI 10.1112/JLMS/S1-12.2.201
[6] Huppert, 1967, ENDLICHE GRUPP
[7] The influence of weakly-supplemented subgroups on the structure of finite groups
Kong, Qingjun
Liu, Qingfeng
[J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2014, 64 (01) : 173 - 182

← 1 →