Classifying Spaces and Boundaries for Relatively Hyperbolic Groups

DOI10.1112/S0024611502013989zbMath1031.20039OpenAlexW1982540252MaRDI QIDQ4432689

François Dahmani

Publication date: 29 October 2003

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024611502013989

zbMATH Keywords

classifying spacesboundariesfinitely generated groupsCayley graphstorsion-free hyperbolic groupsrelatively hyperbolic groupsGromov hyperbolic groupsbounded coset penetration property

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Generators, relations, and presentations of groups (20F05) 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 (28)

THE COARSE BAUM–CONNES CONJECTURE FOR RELATIVELY HYPERBOLIC GROUPS ⋮ Limit groups for relatively hyperbolic groups. I: The basic tools. ⋮ Boundaries of systolic groups. ⋮ The isocohomological property, higher Dehn functions, and relatively hyperbolic groups. ⋮ Stability phenomena for Martin boundaries of relatively hyperbolic groups ⋮ Non-positively curved complexes of groups and boundaries. ⋮ The Martin boundary of a free product of abelian groups ⋮ Ends, Shapes, and Boundaries in Manifold Topology and Geometric Group Theory ⋮ Coarse \(\mathcal{Z}\)-boundaries for groups ⋮ Burghelea conjecture and asymptotic dimension of groups ⋮ A comparison of large scale dimension of a metric space to the dimension of its boundary ⋮ Combination of convergence groups. ⋮ DISMANTLABLE CLASSIFYING SPACE FOR THE FAMILY OF PARABOLIC SUBGROUPS OF A RELATIVELY HYPERBOLIC GROUP ⋮ Coarse flow spaces for relatively hyperbolic groups ⋮ Cohomology and the Bowditch boundary ⋮ Symbolic dynamics and relatively hyperbolic groups. ⋮ Complexes of groups and geometric small cancelation over graphs of groups ⋮ ENDS OF CUSP-UNIFORM GROUPS OF LOCALLY CONNECTED CONTINUA — I ⋮ The conjugacy problem for relatively hyperbolic groups. ⋮ An obstruction to the strong relative hyperbolicity of a group ⋮ Relative hyperbolicity and Artin groups. ⋮ On groups with \(S^2\) Bowditch boundary ⋮ Dehn filling in relatively hyperbolic groups. ⋮ PARABOLIC GROUPS ACTING ON ONE-DIMENSIONAL COMPACT SPACES ⋮ The Martin boundary of relatively hyperbolic groups with virtually abelian parabolic subgroups ⋮ Boundaries of Baumslag-Solitar groups ⋮ Proper homotopy types and \(\mathcal{Z}\)-boundaries of spaces admitting geometric group actions ⋮ Limit groups for relatively hyperbolic groups. II: Makanin-Razborov diagrams.

This page was built for publication: Classifying Spaces and Boundaries for Relatively Hyperbolic Groups