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).

引用

页码：451 / 457

页数：7

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