On supersolubility of some finite factorizable groups

被引：1

作者：

Jaraden, Jehad Jumah ^{[1
]}

Al-Dababseh, Awni Faez ^{[1
]}

机构：

[1] Al Hussein Bin Talal Univ, Dept Math & Stat, Maan, Jordan

来源：

ALGEBRA COLLOQUIUM | 2006年 / 13卷 / 04期

关键词：

finite group; supersoluble group; permutable subgroups; product of subgroups;

D O I：

10.1142/S1005386706000502

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is proved that a finite group G = AB is supersoluble provided that A and, B are such supersolube subgroups of G that every cyclic subgroup of A permutes with every Sylow subgroup of B and if in return every cyclic subgroup of B permutes with every Sylow subgroup of A.

引用

页码：553 / 558

页数：6

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