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.
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页码：553 / 558
页数：6
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