Specializing cubulated relatively hyperbolic groups

DOI10.1112/topo.12226zbMath1529.20081arXiv2008.13677OpenAlexW3082883242WikidataQ115526841 ScholiaQ115526841MaRDI QIDQ6096942

Jason Fox Manning, Daniel Groves

Publication date: 15 September 2023

Published in: Journal of Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.13677

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Hyperbolic groups and nonpositively curved groups (20F67) Group actions on manifolds and cell complexes in low dimensions (57M60)

Related Items (5)

Imitator homomorphisms for special cube complexes ⋮ On cubulated relatively hyperbolic groups ⋮ On double coset separability and the Wilson–Zalesskii property ⋮ Aritmethic lattices of \(\operatorname{SO}(1,n)\) and units of group rings ⋮ Relatively geometric actions on CAT$\operatorname{CAT}$(0) cube complexes

Cites Work

• The virtual Haken conjecture (with an appendix by Ian Agol, Daniel Groves and Jason Manning).
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• Peripheral fillings of relatively hyperbolic groups.
• Coxeter groups are virtually special
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• Residual finiteness, QCERF and fillings of hyperbolic groups.
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• Local-to-asymptotic topology for cocompact CAT(0) complexes.
• Geometric invariants of spaces with isolated flats.
• Cubulating spaces with walls.
• On strongly quasiconvex subgroups
• Boundaries of Dehn fillings
• Criterion for Cannon's conjecture.
• Hadamard spaces with isolated flats. (With an appendix written jointly with Mohamad Hindawi).
• Complete square complexes.
• Special cube complexes
• Tree-graded spaces and asymptotic cones of groups. (With an appendix by Denis Osin and Mark Sapir).
• Hyperbolic groups with planar boundaries
• RELATIVELY HYPERBOLIC GROUPS
• FROM WALL SPACES TO CAT(0) CUBE COMPLEXES
• AN ALTERNATE PROOF OF WISE’S MALNORMAL SPECIAL QUOTIENT THEOREM
• A Characterization of Cocompact Hyperbolic and Finite-Volume Hyperbolic Groups in Dimension Three
• Finitely presented simple groups and products of trees
• Recognizing constant curvature discrete groups in dimension 3
• Mixed 3-manifolds are virtually special
• Ends of Group Pairs and Non-Positively Curved Cube Complexes
• The Structure of Groups with a Quasiconvex Hierarchy
• Relative cubulations and groups with a 2-sphere boundary
• Cores for quasiconvex actions
• Finiteness properties of cubulated groups
• Quasiconvexity and Dehn filling
• Lattices in product of trees
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