Towers and elementary embeddings in toral relatively hyperbolic groups

DOI10.1142/S0218196721500533OpenAlexW3193700237WikidataQ115523498 ScholiaQ115523498MaRDI QIDQ5021454

Christopher Perez

Publication date: 13 January 2022

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.10964

zbMATH Keywords

relatively hyperbolic groupstowersJSJ decompositionselementary embeddings

Mathematics Subject Classification ID

Geometric group theory (20F65) Algebraic geometry over groups; equations over groups (20F70)

Cites Work

• Unnamed Item
• Limit groups for relatively hyperbolic groups. II: Makanin-Razborov diagrams.
• Limit groups for relatively hyperbolic groups. I: The basic tools.
• Elementary theory of free non-abelian groups.
• Relative hyperbolicity and relative quasiconvexity for countable groups.
• Hyperbolicity and cubulability are preserved under elementary equivalence
• Diophantine geometry over groups. VI: The elementary theory of a free group.
• JSJ decompositions of groups
• EXPONENTIAL GROUPS 2: EXTENSIONS OF CENTRALIZERS AND TENSOR COMPLETION OF CSA-GROUPS
• Elementary equivalence vs. commensurability for hyperbolic groups
• Diophantine geometry over groups VII: The elementary theory of a hyperbolic group
• Elementary embeddings in torsion-free hyperbolic groups

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