ON WEAKLY H-SUBGROUPS OF FINITE GROUPS

被引：30

作者：

Asaad, M. ^{[1
]}

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

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

机构：

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

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

来源：

COMMUNICATIONS IN ALGEBRA | 2012年 / 40卷 / 09期

关键词：

Fitting subgroup; Generalized Fitting subgroup; p-Nilpotent group; c-Normal subgroup; Saturated formation; H-Subgroup; Supersolvable group; Sylow subgroup; C-NORMALITY; SYLOW SUBGROUPS; MINIMAL SUBGROUPS; SUPERSOLVABILITY;

D O I：

10.1080/00927872.2011.591218

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-x <= H for all x is an element of G. A subgroup H of G is called 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 the finite group G under the assumption that all maximal subgroups of every Sylow subgroup of some normal subgroup of G are weakly H-subgroups in G. Some recent results are extended and generalized.

引用

页码：3540 / 3550

页数：11

共 18 条

[1] On p-nilpotence and supersolvability of finite groups [J].