Products of Finite Supersoluble Groups

被引：6

作者：

Liu, Xi ^{[1
]}

Guo, Wenbin ^{[1
]}

Shum, K. P. ^{[2
]}

机构：

[1] Xuzhou Normal Univ, Dept Math, Xuzhou 221116, Jiangsu, Peoples R China

[2] Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China

来源：

ALGEBRA COLLOQUIUM | 2009年 / 16卷 / 02期

关键词：

finite group; supersoluble group; completely c-permutable subgroup; SUBGROUPS;

D O I：

10.1142/S1005386709000327

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let H and T be subgroups of a finite group G. We say that H is completely c-permutable with T in G if there exists an element x is an element of < H, T > such that HTx = T-x H. In this paper, we use this concept to determine the supersolubility of a group G = AB, where A and B are supersoluble subgroups of G. Some criterions of supersolubility of such groups are obtained and some known results are generalized.

引用

页码：333 / 340

页数：8