FINITE GROUPS WHOSE MINIMAL SUBGROUPS ARE WEAKLY H-SUBGROUPS

被引：0
作者：
MMAlMosa AlShomrani [1 ]
MRamadan [2 ]
AAHeliel [1 ,3 ]
机构：
[1] Department of Mathematics,Faculty of Science ,King Abdulaziz University,Jeddah ,Saudi Arabia
[2] Department of Mathematics,Faculty of Science,Cairo University,Giza ,Egypt
[3] Department of Mathematics,Beni-Suef University,Faculty of Science ,Beni-Suef,Egypt
来源：
ActaMathematicaScientia | 2012年 / 32卷 / 06期
关键词：
c-normal subgroup; H-subgroup; p-nilpotent group; supersolvable group; generalized Fitting subgroup; saturated formation;
D O I：
暂无
中图分类号：
O152.1 [有限群论];
学科分类号：
070104 ;
摘要：
Let G be a finite group.A subgroup H of G is called an H-subgroup in G if NG(H) ∩Hg≤H for all g∈G.A subgroup H of G is called a weakly H-subgroup in G if there exists a normal subgroup K of G such that G=HK and H∩K is an H-subgroup in G.In this paper,we investigate the structure of the finite group G under the assumption that every subgroup of G of prime order or of order 4 is a weakly H-subgroup in G.Our results improve and generalize several recent results in the literature.
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页码：2295 / 2301
页数：7
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