Homogeneity in relatively free groups.

DOI10.1007/s00153-012-0298-3zbMath1276.20030OpenAlexW2006657048MaRDI QIDQ1938391

Oleg V. Belegradek

Publication date: 4 February 2013

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00153-012-0298-3

zbMATH Keywords

homogeneityvarieties of groupsresidually finite groupshomogeneous structuresstable groupsrelatively free groupselementary monomorphisms

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Model-theoretic algebra (03C60) Free nonabelian groups (20E05) Residual properties and generalizations; residually finite groups (20E26) Quasivarieties and varieties of groups (20E10) Models with special properties (saturated, rigid, etc.) (03C50) Basic properties of first-order languages and structures (03C07)

Related Items (2)

Independence and freedom ⋮ Types of points and algebras

Cites Work

• Unnamed Item
• Algebraic and definable closure in free groups
• Homogeneity and prime models in torsion-free hyperbolic groups.
• Elementary theory of free non-abelian groups.
• Homogeneity in the free group.
• Diophantine geometry over groups. VIII: Stability.
• Diophantine geometry over groups. VI: The elementary theory of a free group.
• Non-Hopfian relatively free groups.
• On the generic type of the free group
• Elementary embeddings in torsion-free hyperbolic groups
• Varieties of groups

This page was built for publication: Homogeneity in relatively free groups.