THE INFLUENCE OF WEAKLY H-SUBGROUPS ON THE STRUCTURE OF FINITE GROUPS

被引：13

作者：

Asaad, M. ^{[1
]}

Al-Shomrani, M. M. ^{[2
]}

Heliel, A. A. ^{[2
,3
]}

机构：

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

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

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

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2014年 / 51卷 / 01期

关键词：

c-normal subgroup; H-subgroup; weakly H-subgroup; strongly closed subgroup; Sylow subgroup; Fitting subgroup; generalized Fitting subgroup; p-nilpotent group; supersolvable group; saturated formation; MINIMAL SUBGROUPS; C-NORMALITY;

D O I：

10.1556/SScMath.51.2014.1.1262

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 epsilon 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 boolean AND K is an H-subgroup in G. In this article, we investigate the structure of a group G in which every subgroup with order p(m) of a Sylow p-subgroup P of G is a weakly H-subgroup in G, where m is a fixed positive integer. Our results improve and extend the main results of Skiba [13], Jaraden and Skiba [11], Guo and Wei [8], Tong-Veit [15] and Li et al. [12].

引用

页码：27 / 40

页数：14

共 17 条

[1] Finite groups whose minimal subgroups are c-supplemented [J].