ON WEAKLY S-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS

被引：0
|
作者：
Mohamed, M. Ezzat [1 ]
机构：
[1] Taibah Univ, Dept Math, Fac Sci, Almadinah Almunawwarah, Saudi Arabia
来源：
ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING | 2010年 / 35卷 / 2D期
关键词：
Saturated formation; supersolvable groups; weakly s-supplemented subgroups; MINIMAL SUBGROUPS;
D O I：
暂无
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
A subgroup H of a finite group G is said to be weakly s-supplemented in G if G has a subgroup K such that G = HK and H boolean AND K <= H(s)G, where H(s)G is the subgroup of H generated by all subgroups of H which are S-permutable in G. We are interested in studying the influence of the weakly s-supplemented subgroups of prime power order on the structure of finite groups.
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页码：235 / 240
页数：6
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