Finite p-groups in which the normalizer of each nonnormal subgroup is small

被引：0

作者：

Zhao, Libo ^{[1
]}

Li, Yangming ^{[1
]}

Gong, Lu ^{[2
]}

Guo, Xiuyun ^{[3
]}

机构：

[1] Guangdong Univ Educ, Coll Math, Guangzhou 510310, Peoples R China

[2] Nantong Univ, Sch Math & Stat, Nantong 226019, Jiangsu, Peoples R China

[3] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2024年 / 53卷 / 06期

基金：

美国国家科学基金会;

关键词：

non-Dedekindian p-group; the center; nonnormal subgroup;

D O I：

10.15672/hujms.1362734

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite non-Dedekindian p-group which satisfies NG(H) = HZ(G) for each nonnormal subgroup H , and we call it an NS-group. In this paper, it is proved that an NS-group is the product of a minimal nonabelian group and the center.

引用

页码：1642 / 1646

页数：5

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