FINITE GROUPS WHOSE MINIMAL SUBGROUPS ARE WEAKLY H-SUBGROUPS

被引：0

作者：

M.M.Al-Mosa Al-Shomrani ^{[1
]}

M.Ramadan ^{[2
]}

A.A.Heliel ^{[1
,3
]}

机构：

[1] Department of Mathematics,Faculty of Science 80203,King Abdulaziz University,Jeddah 21589,Saudi Arabia

[2] Department of Mathematics,Faculty of Science,Cairo University,Giza 12613,Egypt

[3] Department of Mathematics,Beni-Suef University,Faculty of Science 62511,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.

引用

页码：2295 / 2301

页数：7

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