FINITE GROUPS WHOSE MINIMAL SUBGROUPS ARE WEAKLY H-SUBGROUPS

被引：10

作者：

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

Ramadan, M. ^{[2
]}

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

机构：

[1] King Abdulaziz Univ, Fac Sci 80203, Dept Math, Jeddah 21589, Saudi Arabia

[2] Cairo Univ, Fac Sci, Dept Math, Giza 12613, Egypt

[3] Beni Suef Univ, Fac Sci 62511, Dept Math, Bani Suwayf, Egypt

来源：

ACTA MATHEMATICA SCIENTIA | 2012年 / 32卷 / 06期

关键词：

c-normal subgroup; H-subgroup; p-nilpotent group; supersolvable group; generalized Fitting subgroup; saturated formation; C-NORMALITY; SYLOW SUBGROUPS;

D O I：

10.1016/S0252-9602(12)60179-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group. A subgroup H of G is called an H-subgroup in G if N-G(H) boolean AND H-g <= H for all g is an element of 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 = H K and H boolean AND 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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