Local connectedness of boundaries for relatively hyperbolic groups

DOI10.1112/topo.12347zbMATH Open1542.20201MaRDI QIDQ6564523

Ashani Dasgupta, G. Christopher Hruska

Publication date: 1 July 2024

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

zbMATH Keywords

boundarycut pointrelatively hyperbolic groupgroup pair

Mathematics Subject Classification ID

Hyperbolic groups and nonpositively curved groups (20F67) Groups acting on trees (20E08)

Cites Work

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• Quasiconvexity and relatively hyperbolic groups that split.
• On hyperbolicity of free splitting and free factor complexes.
• From continua to \(\mathbb R\)-trees
• Relative hyperbolicity and relative quasiconvexity for countable groups.
• Dehn filling in relatively hyperbolic groups.
• Expansive convergence groups are relatively hyperbolic.
• Valuations, trees, and degenerations of hyperbolic structures. I
• Cut points and canonical splittings of hyperbolic groups
• Boundaries of geometrically finite groups
• Combination of convergence groups.
• Stable actions of groups on real trees
• Floyd maps for relatively hyperbolic groups.
• Trees of metric compacta and trees of manifolds
• Local cut points and splittings of relatively hyperbolic groups
• On semistability of CAT(0) groups
• Non-finitely generated relatively hyperbolic groups and Floyd quasiconvexity
• Splittings and automorphisms of relatively hyperbolic groups
• Deformation spaces of trees.
• Groupoids, branched manifolds and multisections
• Tree-graded spaces and asymptotic cones of groups. (With an appendix by Denis Osin and Mark Sapir).
• Inverse limit spaces
• A cutpoint tree for a continuum
• Hyperbolic groups with low-dimensional boundary
• Peripheral splittings of groups
• Archimedean actions on median pretrees
• RELATIVELY HYPERBOLIC GROUPS
• JSJ decompositions of groups
• Homogeneous cohomology manifolds which are inverse limits
• Relatively hyperbolic groups: intrinsic geometry, algebraic properties, and algorithmic problems
• The Boundary of Negatively Curved Groups
• Connectedness properties of limit sets
• Treelike structures arising from continua and convergence groups
• Non-Nesting Actions On Real Trees
• Similar Relatively Hyperbolic Actions of a Group
• Quasi-hyperbolic planes in hyperbolic groups
• Relatively hyperbolic groups with semistable fundamental group at infinity
• The co‐surface graph and the geometry of hyperbolic free group extensions
• ELEMENTARY SUBGROUPS OF RELATIVELY HYPERBOLIC GROUPS AND BOUNDED GENERATION
• Relatively hyperbolic groups with semistable peripheral subgroups
• Planar boundaries and parabolic subgroups
• On canonical splittings of relatively hyperbolic groups

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