Generalized rigid groups: definitions, basic properties, and problems

DOI10.1134/S0037446618040122zbMath1469.20032OpenAlexW2891821224MaRDI QIDQ1617987

N. S. Romanovskii

Publication date: 13 November 2018

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

Full work available at URL: https://doi.org/10.1134/s0037446618040122

zbMATH Keywords

divisible groupsoluble groupgroup axioms

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Derived series, central series, and generalizations for groups (20F14) Commutator calculus (20F12)

Related Items (4)

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 ⋮ Generalized rigid metabelian 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.
• Divisible rigid groups. Algebraic closedness and elementary theory
• Divisible rigid groups. II: Stability, saturation, and elementary submodels
• Automorphisms of divisible rigid groups.
• Logical aspects of the theory of divisible rigid groups.
• Model-theoretic aspects of the theory of divisible rigid soluble groups
• Hilbert's Nullstellensatz in algebraic geometry over rigid soluble groups
• A Note on Zero Divisors in Group-Rings

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