Groups universally equivalent to the solvable Baumslag-Soliter group

DOI10.1134/S003744662201013XOpenAlexW4210799266MaRDI QIDQ2071592

N. S. Romanovskii

Publication date: 28 January 2022

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

Full work available at URL: https://doi.org/10.1134/s003744662201013x

zbMATH Keywords

groupsolvable groupuniversal theoryBaumslag-Soliter group

Mathematics Subject Classification ID

Special aspects of infinite or finite groups (20Fxx) Model theory (03Cxx) Structure and classification of infinite or finite groups (20Exx)

Cites Work

• Partially commutative metabelian groups: centralizers and elementary equivalence.
• Algebraic geometry over groups. I: Algebraic sets and ideal theory
• Universal theory of certain solvable groups and bounded Ore group rings
• Universal theories for free solvable groups.
• Equational Noethericity of metabelian \(r\)-groups
• On the universal theories of generalized rigid metabelian groups
• Decomposition of a group over an abelian normal subgroup
• ∀-free metabelian groups

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