Local cut points and splittings of relatively hyperbolic groups

DOI10.2140/agt.2019.19.2795OpenAlexW2743261966MaRDI QIDQ2279070

Matthew Haulmark

Publication date: 12 December 2019

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

Full work available at URL: https://arxiv.org/abs/1708.02855

zbMATH Keywords

splittingsrelatively hyperbolic groupsends of spacesgroup boundarieslocal cut pointsJSJ splittings

Mathematics Subject Classification ID

Geometric group theory (20F65) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (1)

The relative hyperbolicity and manifold structure of certain right-angled Coxeter groups

Cites Work

• Random groups do not split.
• Excellent 1-manifolds in compact 3-manifolds
• A characterization of the universal curve and a proof of its homogeneity
• One-dimensional continuous curves and a homogeneity theorem
• From continua to \(\mathbb R\)-trees
• Relative hyperbolicity and relative quasiconvexity for countable groups.
• Dehn filling in relatively hyperbolic groups.
• Visual decompositions of Coxeter groups.
• Expansive convergence groups are relatively hyperbolic.
• Boundaries and JSJ decompositions of \(\text{CAT}(0)\)-groups.
• Cut points and canonical splittings of hyperbolic groups
• Boundaries of geometrically finite groups
• Combination of convergence groups.
• Über die Enden topologischer Räume und Gruppen
• Proper homotopy types and \(\mathcal{Z}\)-boundaries of spaces admitting geometric group actions
• Hadamard spaces with isolated flats. (With an appendix written jointly with Mohamad Hindawi).
• Peripheral structures of relatively hyperbolic groups.
• Hyperbolic groups with low-dimensional boundary
• Peripheral splittings of groups
• QUASI-ISOMETRIES, BOUNDARIES AND JSJ-DECOMPOSITIONS OF RELATIVELY HYPERBOLIC GROUPS
• RELATIVELY HYPERBOLIC GROUPS
• Topological characterization of the Sierpiński curve
• Homeomorphic conjugates of Fuchsian groups.
• Conical limit points and uniform convergence groups
• Connectedness properties of limit sets
• Treelike structures arising from continua and convergence groups
• A topological characterisation of hyperbolic groups
• A topological characterisation of relatively hyperbolic groups
• Dehn fillings and elementary splittings
• Boundary classification and two-ended splittings of groups with isolated flats
• Ends, Shapes, and Boundaries in Manifold Topology and Geometric Group Theory
• ELEMENTARY SUBGROUPS OF RELATIVELY HYPERBOLIC GROUPS AND BOUNDED GENERATION
• ENDS OF CUSP-UNIFORM GROUPS OF LOCALLY CONNECTED CONTINUA — I
• RELATIONS BETWEEN VARIOUS BOUNDARIES OF RELATIVELY HYPERBOLIC GROUPS

This page was built for publication: Local cut points and splittings of relatively hyperbolic groups