Universal theories for partially commutative metabelian groups.
type: Item
instance of: scholarly article
title: Universal theories for partially commutative metabelian groups.
zbMATH Open document ID: 1263.20032
author: Evgenii I. Timoshenko
author: Chander K. Gupta
published in: Algebra and Logic
publication date: 2012-12-11T00:00:00Z
review text: The authors continue research they initiated in previous papers about properties of partially commutative metabelian groups and of their universal theories. In particular, they show here that two partially commutative metabelian groups defined by cycles are universally equivalent if and only if the cycles are isomorphic.
reviewed by: Eric Jaligot
Mathematics Subject Classification ID: 20F05
Mathematics Subject Classification ID: 20F70
Mathematics Subject Classification ID: 20E10
Mathematics Subject Classification ID: 03B10
Mathematics Subject Classification ID: 03C60
Mathematics Subject Classification ID: 20F10
Mathematics Subject Classification ID: 20F16
zbMATH DE Number: 6115008
zbMATH Keywords: partially commutative metabelian groups
zbMATH Keywords: universal theories
zbMATH Keywords: universal equivalences
zbMATH Keywords: varieties of metabelian groups
zbMATH Keywords: finitely presented groups
zbMATH Keywords: centralizers
zbMATH Keywords: annihilators
zbMATH Keywords: elementary equivalences
MaRDI profile type: Publication
full work available at URL: s10469-011-9120-2
OpenAlex ID: W2028255661
cites work: Partially commutative metabelian groups: centralizers and elementary equivalence.
cites work: Universal equivalence of partially commutative metabelian groups.
cites work: Orthogonal systems in finite graphs
cites work: Structure of the automorphism group for partially commutative class two nilpotent groups.
cites work: Q4831046
cites work: Commutators of Certain Finitely Generated Soluble Groups
DOI: 10.1007/S10469-011-9120-2
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description: scientific article; zbMATH DE number 6115008