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.
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页码：687 / 691
页数：5
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