Finite Groups with Nilpotent Subgroups of Even Order

被引：1

作者：

Deng, Yan ^{[1
]}

Meng, Wei ^{[2
]}

Lu, Jiakuan ^{[3
]}

机构：

[1] Yunnan Minzu Univ, Sch Math & Comp Sci, Kunming 650500, Yunnan, Peoples R China

[2] Guilin Univ Elect Technol, Sch Math & Comp Sci, Guilin 541004, Guangxi, Peoples R China

[3] Guangxi Normal Univ, Sch Math & Stat, Guilin 541004, Guangxi, Peoples R China

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2022年 / 48卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Maximal subgroup; Second maximal subgroup; Nilpotent group; Solvable group;

D O I：

10.1007/s41980-021-00570-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A group G is called to be EMN-group (rep. ESMN-group) if all maximal subgroup (rep. second maximal subgroup) of G of even order are nilpotent. In this paper, we mainly investigate the structure of EMN-groups and ESMN-groups.

引用

页码：1143 / 1152

页数：10

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