Results 1 to 10 of about 102,917 (274)

Packing subgroups in relatively hyperbolic groups [PDF]

Geometry & Topology, 2009
We introduce the bounded packing property for a subgroup of a countable discrete group G. This property gives a finite upper bound on the number of left cosets of the subgroup that are pairwise close in G. We establish basic properties of bounded packing,
G Christopher Hruska, Daniel T Wise
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Dehn filling in relatively hyperbolic groups [PDF]

Israel Journal of Mathematics, 2007
We introduce a number of new tools for the study of relatively hyperbolic groups. First, given a relatively hyperbolic group G, we construct a nice combinatorial Gromov hyperbolic model space acted on properly by G, which reflects the relative ...
Groves, Daniel, Manning, Jason Fox
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Splittings and automorphisms of relatively hyperbolic groups [PDF]

Groups, Geometry, and Dynamics, 2014
We study automorphisms of a relatively hyperbolic group G. When G is one-ended, we describe Out(G) using a preferred JSJ tree over subgroups that are virtually cyclic or parabolic. In particular, when G is toral relatively hyperbolic, Out(G) is virtually
Guirardel, Vincent, Levitt, Gilbert
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Relative hyperbolicity and relative quasiconvexity for countable groups [PDF]

Algebraic & Geometric Topology, 2010
We lay the foundations for the study of relatively quasiconvex subgroups of relatively hyperbolic groups. These foundations require that we first work out a coherent theory of countable relatively hyperbolic groups (not necessarily finitely generated ...
Hruska, G. Christopher
core   +4 more sources

Statistical hyperbolicity of relatively hyperbolic groups [PDF]

Algebraic & Geometric Topology, 2015
We prove that a non-elementary relatively hyperbolic group is statistically hyperbolic with respect to every finite generating set. We also establish statistical hyperbolicity for certain direct products of two groups, one of which is relatively ...
Osborne, Jeremy, Yang, Wen-yuan
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Limit sets of relatively hyperbolic groups [PDF]

Geometriae Dedicata, 2011
In this paper, we prove a limit set intersection theorem in relatively hyperbolic groups. Our approach is based on a study of dynamical quasiconvexity of relatively quasiconvex subgroups. Using dynamical quasiconvexity, many well-known results on limit sets of geometrically finite Kleinian groups are derived in general convergence groups.
Wen-yuan Yang
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COMPLEX OF RELATIVELY HYPERBOLIC GROUPS [PDF]

Glasgow Mathematical Journal, 2018
AbstractIn this paper, we prove a combination theorem for a complex of relatively hyperbolic groups. It is a generalization of Martin’s (Geom. Topology 18 (2014), 31–102) work for combination of hyperbolic groups over a finite MK-simplicial complex, where k ≤ 0.
ABHIJIT PAL, SUMAN PAUL
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Accidental parabolics and relatively hyperbolic groups [PDF]

Israel Journal of Mathematics, 2006
By constructing, in the relative case, objects analoguous to Rips and Sela's canonical representatives, we prove that the set of images by morphisms without accidental parabolic, of a finitely presented group in a relatively hyperbolic group, is finite, up to conjugacy.
François Dahmani
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On cubulated relatively hyperbolic groups [PDF]

Geometry & Topology, 2020
We show that properly and cocompactly cubulated relatively hyperbolic groups are virtually special, provided the peripheral subgroups are virtually special in a way that is compatible with the cubulation. This extends Agol's result for cubulated hyperbolic groups, and applies to a wide range of peripheral subgroups.
Eduardo Oregón‐Reyes
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Normal automorphisms of relatively hyperbolic groups [PDF]

Transactions of the American Mathematical Society, 2008
An automorphism $ $ of a group $G$ is normal if it fixes every normal subgroup of $G$ setwise. We give an algebraic description of normal automorphisms of relatively hyperbolic groups. In particular, we prove that for any relatively hyperbolic group $G$, $Inn(G)$ has finite index in the subgroup $Aut_n(G)$ of normal automorphisms. If, in addition, $G$
Ashot Minasyan, Denis Osin
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