On p-nilpotence and supersolvability of finite groups

被引：37

作者：

Asaad, M ^{[1
]}

机构：

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

来源：

COMMUNICATIONS IN ALGEBRA | 2006年 / 34卷 / 01期

关键词：

D O I：

10.1080/00927870500346180

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A subgroup K of a finite group G is called an H-subgroup of G if the following condition is satisfied: N-G(K) boolean AND K-g <= K for all g is an element of G. The set of all H-subgroups of a finite group G will be denoted by H(G). In this paper, we investigate the structure of a finite group G under the assumption that certain subgroups of prime power orders belong to H(G).

引用

页码：189 / 195

页数：7

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