A note on groups whose non-normal subgroups are either abelian or minimal non-abelian

被引：0
|
作者：
Sevgi Atlıhan
Francesco de Giovanni
机构：
[1] Gazi Üniversitesi,Matematik Bölümü
[2] Università di Napoli Federico II,Dipartimento di Matematica e Applicazioni
来源：
Ricerche di Matematica | 2018年 / 67卷
关键词：
Biminimal non-abelian group; Metahamiltonian group; Parahamiltonian group; 20F24;
D O I：
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中图分类号：
学科分类号：
摘要：
A group G is called parahamiltonian if each non-normal subgroup of G is either abelian or minimal non-abelian. Thus all biminimal non-abelian groups are parahamiltonian, and the class of parahamiltonian groups contains the important class of metahamiltonain groups, introduced by Romalis and Sesekin about 50 years ago. The aim of this paper is to describe the structure of locally graded parahamiltonian groups.
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页码：891 / 898
页数：7
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