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

共 50 条

[41] The commutator subgroup and Schur multiplier of a pair of finite p-groups
Salemkar, Ali Reza
Moghaddam, Mohammad Reza R.
Saeedi, Farshid
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2006, 81 : 1 - 9
[42] Finite p-groups with cyclic commutator subgroup and cyclic center
Finogenov, AA
MATHEMATICAL NOTES, 1998, 63 (5-6) : 802 - 812
[43] Automorphisms of a Class of Finite p-groups with a Cyclic Derived Subgroup
Wang, Yu Lei
Liu, He Guo
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2021, 37 (06) : 926 - 940
[44] On the finite p-groups with unique cyclic subgroup of given order
Zhao, Libo
Li, Yangming
Gong, Lu
TURKISH JOURNAL OF MATHEMATICS, 2016, 40 (02) : 244 - 249
[45] Automorphisms of a Class of Finite p-groups with a Cyclic Derived Subgroup
Yu Lei Wang
He Guo Liu
Acta Mathematica Sinica, English Series, 2021, 37 : 926 - 940
[46] A Classification of Finite p-Groups with a Unique A2-Subgroup
Gao, Jixia
Qu, Haipeng
COMMUNICATIONS IN MATHEMATICS AND STATISTICS, 2025,
[47] Automorphisms of a Class of Finite p-groups with a Cyclic Derived Subgroup
Yu Lei WANG
He Guo LIU
Acta Mathematica Sinica,English Series, 2021, (06) : 926 - 940
[48] ON THE STRUCTURE OF CHARACTERISTIC SUBGROUP LATTICES OF FINITE ABELIAN p-GROUPS
Humam, Afif
Astuti, Pudji
JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2022, 15 (3A): : 435 - 444
[49] Small derived quotients in finite p-groups
Schneider, Csaba
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2006, 69 (03): : 373 - 378
[50] Finite exceptional p-groups of small order
Lemieux, Stephane
COMMUNICATIONS IN ALGEBRA, 2007, 35 (06) : 1890 - 1894

← 1 2 3 4 5 →