Structure of periodic metabelian meta-Hamiltonian groups with a nonelementary commutator subgroup
type: Item
instance of: scholarly article
title: Structure of periodic metabelian meta-Hamiltonian groups with a nonelementary commutator subgroup
zbMATH Open document ID: 0647.20037
DOI: 10.1007/BF01057495
author: N. F. Kuzennyj
author: N. N. Semko
published in: Ukrainian Mathematical Journal
publication date: 1987-01-01T00:00:00Z
review text: Metahamiltonian groups, i.e., groups in which each nonabelian subgroup is invariant, are a natural generalization of Hamiltonian groups. The present article describes the structure of periodic metabelian metahamiltonian groups with a nonelementary commutator subgroup. It turns out that there exist four types of such groups.
Mathematics Subject Classification ID: 20F50
Mathematics Subject Classification ID: 20F16
Mathematics Subject Classification ID: 20E15
Mathematics Subject Classification ID: 20E34
zbMATH DE Number: 4055894
zbMATH Keywords: generalization of Hamiltonian groups
zbMATH Keywords: periodic metabelian metahamiltonian groups
MaRDI profile type: Publication
cites work: Q4087414
cites work: Q5637070
cites work: Q4075083
cites work: Q3715322
cites work: Q2648167
description: scientific article; zbMATH DE number 4055894