Large characteristic subgroups in which normality is a transitive relation

被引：3

作者：

de Giovanni, Francesco ^{[1
]}

Trombetti, Marco ^{[1
]}

机构：

[1] Univ Napoli Federico II, Dipartimento Matemat & Applicaz, Via Cintia, I-80126 Naples, Italy

来源：

RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI | 2019年 / 30卷 / 02期

关键词：

Characteristic subgroup; F-characteristic class; T-group;

D O I：

10.4171/RLM/846

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is known that if a group contains an abelian subgroup of finite index, then it also has an abelian characteristic subgroup of finite index. The aim of this paper is to study the corresponding question when abelian subgroups are replaced by subgroups in which normality is a transitive relation.

引用

页码：255 / 268

页数：14

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