Separation and relative quasiconvexity criteria for relatively geometric actions

DOI10.4171/GGD/774MaRDI QIDQ6594732

Daniel Groves, Thomas C. Ng, Eduard Einstein

Publication date: 28 August 2024

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

zbMATH Keywords

CAT(0) cube complexesseparation criteriaBowditch boundaryrelatively geometric

Mathematics Subject Classification ID

Geometric group theory (20F65) Hyperbolic groups and nonpositively curved groups (20F67) Group actions on manifolds and cell complexes in low dimensions (57M60)

Cites Work

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• The virtual Haken conjecture (with an appendix by Ian Agol, Daniel Groves and Jason Manning).
• Relative quasiconvexity using fine hyperbolic graphs.
• Relative hyperbolicity and relative quasiconvexity for countable groups.
• Dehn filling in relatively hyperbolic groups.
• The simplicial boundary of a CAT(0) cube complex
• Height, graded relative hyperbolicity and quasiconvexity
• Tree-graded spaces and asymptotic cones of groups. (With an appendix by Denis Osin and Mark Sapir).
• Relatively hyperbolic groups.
• A boundary criterion for cubulation.
• Relatively hyperbolic groups: intrinsic geometry, algebraic properties, and algorithmic problems
• A topological characterisation of relatively hyperbolic groups
• Ends of Group Pairs and Non-Positively Curved Cube Complexes
• Relative cubulations and groups with a 2-sphere boundary
• Relatively hyperbolic groups
• Relative hyperbolicity and Artin groups.
• Relatively geometric actions on CAT$\operatorname{CAT}$(0) cube complexes
• Acylindrically hyperbolic groups and their quasi-isometrically embedded subgroups

Related Items (1)

Relatively geometric actions of Kähler groups on CAT(0) cube complexes

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