Stucture of periodic met-Abelian meta-Hamiltonian groups with elementary commutant of rank 2
type: Item
instance of: scholarly article
title: Stucture of periodic met-Abelian meta-Hamiltonian groups with elementary commutant of rank 2
zbMATH Open document ID: 0713.20030
DOI: 10.1007/BF01057181
author: N. F. Kuzennyj
author: N. N. Semko
published in: Ukrainian Mathematical Journal
publication date: 1988-01-01T00:00:00Z
review text: A natural and rather significant generalization of Hamiltonian groups, which were studied as early as in the beginning of this century, are meta-Hamiltonian groups, i.e., groups in which every non-Abelian subgroup is invariant. A complete description is given of periodic met-Abelian meta-Hamiltonian groups \(G=H\times C\) with elementary commutant of rank 2 for which the subgroup H contains no Miller-Moreno subgroups that are complemented in it. It turns out that there exist four types of such groups.
Mathematics Subject Classification ID: 20F50
Mathematics Subject Classification ID: 20E15
Mathematics Subject Classification ID: 20E34
zbMATH DE Number: 4173243
zbMATH Keywords: generalization of Hamiltonian groups
zbMATH Keywords: meta-Hamiltonian groups
zbMATH Keywords: periodic met-Abelian meta-Hamiltonian groups
MaRDI profile type: Publication
cites work: Q4087414
cites work: Q5637070
cites work: Q2648167
cites work: Q4745979
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description: scientific article; zbMATH DE number 4173243