FINITE GROUPS ALL OF WHOSE MAXIMAL SUBGROUPS OF EVEN ORDER ARE Hp-GROUPS

被引：0

作者：

Meng, Wei ^{[1
]}

Lu, Jiakuan ^{[2
]}

机构：

[1] Yunnan Univ Nationalities, Sch Math & Comp Sci, Kunming 650031, Yunnan, Peoples R China

[2] Guangxi Normal Univ, Dept Math, Guilin 541004, Guangxi, Peoples R China

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2014年 / 13卷 / 05期

基金：

中国国家自然科学基金;

关键词：

H-subgroup; solvable group; maximal subgroup;

D O I：

10.1142/S021949881350148X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a finite group. A subgroup H of G is called an H-subgroup of G if N-G( H) boolean AND H-g <= H for all g is an element of G; G is said to be an H-p-group if every cyclic subgroup of G of prime order or order 4 is an H-subgroup of G. In this paper, the structure of the finite groups all of whose maximal subgroups of even order are H-p-subgroups have been characterized.

引用

页数：8

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