Finite groups in which the cores of non-normal subgroups have the same order

被引：0

作者：

Qu, Haipeng ^{[1
]}

Wang, Lifang ^{[1
]}

机构：

[1] Shanxi Normal Univ, Dept Math, Taiyuan 030006, Shanxi, Peoples R China

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2025年

关键词：

Dedekind groups; non-normal subgroups; cores of non-normal subgroups; CONJUGACY CLASSES; NUMBER;

D O I：

10.1142/S0219498826501264

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we describe the structure of finite groups in which all cores of non-normal subgroups have the same order. In particular, in the case of p-groups, we give a complete classification.

引用

页数：9

共 24 条

[1] Finite metahamiltonian p-groups [J].

An, Lijian ;

Zhang, Qinhai .

JOURNAL OF ALGEBRA, 2015, 442 :23-35

[2]

Berkovich Y, 2008, DEGRUYTER EXPOS MATH, V46, P1, DOI 10.1515/9783110208221

[3]

Berkovich Y., 2011, GROUPS PRIME POWER O, V3

[4] GROUPS WITH FEW NONNORMAL SUBGROUP [J].

BRANDL, R .

COMMUNICATIONS IN ALGEBRA, 1995, 23 (06) :2091-2098

[5] A Classification of Finite Metahamiltonian p-Groups [J].

Fang, Xingui ;

An, Lijian .

COMMUNICATIONS IN MATHEMATICS AND STATISTICS, 2021, 9 (02) :239-260

[6]

Huppert B., 1967, ENDLICHE GRUPPEN, V134

[7] The number of conjugacy classes of nonnormal subgroups of finite p-groups (III) [J].

Li, Lili .

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2021, 20 (06)

[8] The number of conjugacy classes of nonnormal subgroups of finite p-groups (II) [J].

Li, Lili .

COMMUNICATIONS IN ALGEBRA, 2020, 48 (03) :1099-1113

[9] The number of conjugacy classes of nonnormal subgroups of finite p-groups [J].

Li, Lili ;

Qu, Haipeng .

JOURNAL OF ALGEBRA, 2016, 466 :44-62

[10] 2-GROUPS WITH NO NORMAL ABELIAN SUBGROUPS OF RANK-3, AND THEIR OCCURRENCE AS SYLOW 2-SUBGROUPS OF FINITE SIMPLE GROUPS [J].

MACWILLI.AR .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 150 (02) :345-&

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