Generalized rigid metabelian groups

DOI10.1134/S0037446619010166zbMath1475.20058OpenAlexW2938393928MaRDI QIDQ2002491

N. S. Romanovskii

Publication date: 12 July 2019

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

Full work available at URL: https://doi.org/10.1134/s0037446619010166

zbMATH Keywords

metabelian groupdivisible groupsoluble group

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Derived series, central series, and generalizations for groups (20F14)

Related Items (3)

Equational Noethericity of metabelian \(r\)-groups ⋮ On the universal theories of generalized rigid metabelian groups ⋮ Coordinate groups of irreducible algebraic sets over divisible metabelian \(r\)-groups

Cites Work

• Divisible rigid groups.
• Equational Noetherianness of rigid soluble groups.
• Irreducible algebraic sets over divisible decomposed rigid groups.
• Krull dimension of solvable groups.
• Generalized rigid groups: definitions, basic properties, and problems
• Divisible rigid groups. Algebraic closedness and elementary theory
• Divisible rigid groups. II: Stability, saturation, and elementary submodels
• Logical aspects of the theory of divisible rigid groups.
• Decomposition of a group over an abelian normal subgroup
• Model-theoretic aspects of the theory of divisible rigid soluble groups
• Hilbert's Nullstellensatz in algebraic geometry over rigid soluble groups

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