Maximal hyperbolic towers and weight in the theory of free groups

DOI10.1017/S0305004119000483WikidataQ126786390 ScholiaQ126786390MaRDI QIDQ4958692

Benjamin Brück

Publication date: 14 September 2021

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.01845

Mathematics Subject Classification ID

Geometric group theory (20F65) Free nonabelian groups (20E05) Classification theory, stability, and related concepts in model theory (03C45)

Cites Work

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• Forking and JSJ decompositions in the free group
• Hyperbolic towers and independent generic sets in the theory of free groups.
• Elementary theory of free non-abelian groups.
• Valuations, trees, and degenerations of hyperbolic structures. I
• A survey of basic stability theory, with particular emphasis on orthogonality and regular types
• Classification theory and the number of non-isomorphic models
• Homogeneity in the free group.
• 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
• Elementary embeddings in torsion-free hyperbolic groups
• FORKING IN THE FREE GROUP

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