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
收藏
页码：189 / 195
页数：7
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