On canonical splittings of relatively hyperbolic groups

Geometric group theory (20F65) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) General geometric structures on low-dimensional manifolds (57M50) Groups acting on trees (20E08)

Cites Work

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The dense amalgam of metric compacta and topological characterization of boundaries of free products of groups
Splitting line patterns in free groups
Quasiconvexity and relatively hyperbolic groups that split.
The virtual Haken conjecture (with an appendix by Ian Agol, Daniel Groves and Jason Manning).
Trees of cylinders and canonical splittings.
Relative quasiconvexity using fine hyperbolic graphs.
Limit sets of relatively hyperbolic groups.
Separation of relatively quasiconvex subgroups.
From continua to \(\mathbb R\)-trees
Relative hyperbolicity and relative quasiconvexity for countable groups.
Dehn filling in relatively hyperbolic groups.
Residual finiteness, QCERF and fillings of hyperbolic groups.
Combination of quasiconvex subgroups of relatively hyperbolic groups.
Thick metric spaces, relative hyperbolicity, and quasi-isometric rigidity.
Expansive convergence groups are relatively hyperbolic.
Cut points and canonical splittings of hyperbolic groups
Convergence groups and Seifert fibered 3-manifolds
Hyperbolic buildings, conformal dimension and Mostow rigidity
Combination of convergence groups.
The quasi-isometry classification of rank one lattices
Connectedness properties and splittings of groups with isolated flats
Local cut points and splittings of relatively hyperbolic groups
Boundaries of Dehn fillings
Splittings and automorphisms of relatively hyperbolic groups
Deformation spaces of trees.
Quasi-isometry invariance of group splittings.
Peripheral structures of relatively hyperbolic groups.
Peripheral splittings of groups
Splittings and the asymptotic topology of the lamplighter group
QUASI-ISOMETRIES, BOUNDARIES AND JSJ-DECOMPOSITIONS OF RELATIVELY HYPERBOLIC GROUPS
RELATIVELY HYPERBOLIC GROUPS
Geometric group actions on trees
Bowditch's JSJ tree and the quasi‐isometry classification of certain Coxeter groups
JSJ decompositions of groups
Relatively hyperbolic groups: intrinsic geometry, algebraic properties, and algorithmic problems
Homeomorphic conjugates of Fuchsian groups.
A Characterization of Cocompact Hyperbolic and Finite-Volume Hyperbolic Groups in Dimension Three
Certaines Relations D'Équivalence Sur L'Ensemble Des Bouts D'Un Groupe Libre
Connectedness properties of limit sets
Non-Nesting Actions On Real Trees
Quasi-isometric rigidity of the class of convex-cocompact Kleinian groups
The Structure of Groups with a Quasiconvex Hierarchy
Quasi-isometries between groups with two-ended splittings
Finiteness properties of cubulated groups
ELEMENTARY SUBGROUPS OF RELATIVELY HYPERBOLIC GROUPS AND BOUNDED GENERATION
ENDS OF CUSP-UNIFORM GROUPS OF LOCALLY CONNECTED CONTINUA — I
Convergence groups are Fuchsian groups
On hyperbolic buildings