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

页码：687 / 691

页数：5

共 11 条

[1] NEW CRITERIA FOR THE SOLVABILITY OF FINITE-GROUPS [J].