Quasi-isometric rigidity of subgroups and filtered ends

DOI10.2140/agt.2022.22.3023OpenAlexW3117465621MaRDI QIDQ2106586

Luis Jorge Sánchez Saldaña, Eduardo Martínez Pedroza

Publication date: 16 December 2022

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.10494

zbMATH Keywords

geometric group theorypairs of groupsquasi-isometric rigidityfiltered ends of groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07)

Related Items (3)

Hyperbolically embedded subgroups and quasi-isometries of pairs ⋮ Quasi-isometry invariance of relative filling functions (with an appendix by Ashot Minasyan) ⋮ Topological groups with a compact open subgroup, relative hyperbolicity and coherence

Cites Work

• Relative ends and duality groups
• Quasi-isometries preserve the geometric decomposition of Haken manifolds
• Thick metric spaces, relative hyperbolicity, and quasi-isometric rigidity.
• A rigidity theorem for the solvable Baumslag-Solitar groups. (With an appendix by Daryl Cooper)
• The quasi-isometry classification of rank one lattices
• The geometry of groups containing almost normal subgroups
• Quasi-isometrically rigid subgroups in right-angled Coxeter groups
• Quasi-isometry invariance of group splittings.
• Tree-graded spaces and asymptotic cones of groups. (With an appendix by Denis Osin and Mark Sapir).
• Splittings of finitely generated groups over two-ended subgroups
• Quasi-actions on trees II: Finite depth Bass-Serre trees
• Relatively hyperbolic groups: intrinsic geometry, algebraic properties, and algorithmic problems
• Ends of locally compact groups and their coset spaces

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