On Finite Groups With Some Maximal H-Subgroups

被引：0
|
作者：
Wang, L. L. [1 ]
Wang, A. F. [1 ]
Chen, G. Y. [2 ]
机构：
[1] Chongqing Univ Technol, Sch Math & Stat, Chongqing 400054, Peoples R China
[2] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
来源：
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2014年 / 38卷 / 03期
关键词：
subgroups; Fitting(p-)subgroups; p-supersolvable groups; p-nilpotent groups;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A subgroup H of a finite group G is called an - subgroup of G if the following condition is satisfied: N-G(H) boolean AND H-g = H, mbox for all g is an element of G The set of all - subgroups of a group G will be denoted by (G). In this paper, some new results for a finite group to be supersolvable or p - nilpotent are obtained based on the assumption that some maximal subgroups belong to (G).
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页码：451 / 457
页数：7
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