Comparison between the universal theories of partially commutative metabelian groups

DOI10.1134/S0037446617030028zbMath1400.20021OpenAlexW2644074073MaRDI QIDQ2400728

E. I. Timoshenko, V. Ya. Bloshchitsyn

Publication date: 30 August 2017

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446617030028

zbMATH Keywords

metabelian grouppartially commutative groupacyclic graphuniversal theory

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Generators, relations, and presentations of groups (20F05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Classical first-order logic (03B10) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Quasivarieties and varieties of groups (20E10) Algebraic geometry over groups; equations over groups (20F70)

Related Items (2)

Automorphisms of partially commutative metabelian groups ⋮ Partially commutative groups and Lie algebras

Cites Work

• Partially commutative metabelian groups: centralizers and elementary equivalence.
• Universal equivalence of partially commutative metabelian groups.
• Universal theories for partially commutative metabelian groups.
• Unnamed Item

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