Hyperbolic towers and independent generic sets in the theory of free groups.

DOI10.1215/00294527-2143988zbMath1288.20030arXiv1208.2858OpenAlexW3103562175MaRDI QIDQ372628

Larsen Louder, Chloé Perin, Rizos Sklinos

Publication date: 9 October 2013

Published in: Notre Dame Journal of Formal Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.2858

zbMATH Keywords

homogeneityfree groupselementary theoriesgeneric typeshyperbolic towersstable groups

Mathematics Subject Classification ID

Free nonabelian groups (20E05) Hyperbolic groups and nonpositively curved groups (20F67) Classification theory, stability, and related concepts in model theory (03C45)

Related Items (4)

Forking and JSJ decompositions in the free group ⋮ Homogeneity in virtually free groups ⋮ Forking and JSJ decompositions in the free group II ⋮ Maximal hyperbolic towers and weight in the theory of free groups

Cites Work

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• Diophantine geometry over groups. VIII: Stability.
• Diophantine geometry over groups. VI: The elementary theory of a free group.
• On the generic type of the free group
• On genericity and weight in the free group
• Model Theory
• Diophantine geometry over groups VII: The elementary theory of a hyperbolic group
• Elementary embeddings in torsion-free hyperbolic groups
• Erratum to: “Elementary embeddings in torsion-free hyperbolic groups”

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