Groups whose subgroups are either abelian or pronormal

被引：6

作者：

Brescia, Mattia ^{[1
]}

Ferrara, Maria ^{[2
]}

Trombetti, Marco ^{[1
]}

机构：

[1] Univ Napoli Federico II, Complesso Univ Monte S Angelo, Dipartimento Matemat Applicazioni Renato Caccioppo, Naples, Italy

[2] Univ Campania Luigi Vanvitelli, Dipartimento Matemat & Fis, Caserta, Italy

来源：

KYOTO JOURNAL OF MATHEMATICS | 2023年 / 63卷 / 03期

关键词：

AUTOMORPHISMS;

D O I：

10.1215/21562261-10607307

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A subgroup H of a group G is said to be pronormal in G if each of its conjugates Hg in G is already conjugate to it in the subgroup (H, Hg). Extending the wellknown class of metahamiltonian groups, we study soluble groups in which every subgroup is abelian or pronormal.

引用

页码：471 / 500

页数：30

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