Results 11 to 20 of about 437,604 (285)
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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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
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Non-finitely generated relatively hyperbolic groups and Floyd quasiconvexity
, 2010 The paper consists of two parts. In the first one we show that a relatively hyperbolic group $G$ splits as a star graph of groups whose central vertex group is finitely generated and the other vertex groups are maximal parabolic subgroups. As a corollary
Victor Gerasimov, Leonid Potyagailo
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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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Similar Relatively Hyperbolic Actions of a Group [PDF]
International Mathematics Research Notices, 2013 Let a discrete group G possess two convergence actions by homeomorphisms on compacta X and Y . Consider the following question: does there exist a convergence action GyZ on a compactum Z and continuous equivariant maps X ← Z → Y ?
V. Gerasimov, L. Potyagailo
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Michigan Mathematical Journal, 1998 The study of relatively hyperbolic groups (that is, hyperbolicity of a group relative to a family of subgroups) is motivated by the following situation: let \(V\) be a complete noncompact Riemannian manifold of constant negative curvature with finite volume. Then \(V\) has finitely many ends \(E_1,\dots,E_k\), and the inclusions \(E_i\subset V\) induce
Andrzej Szczepański
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Proper actions and weak amenability of classical relatively hyperbolic groups [PDF]
Annales de l'Institut FourierGromov introduced a notion of hyperbolicity for discrete groups (and general metric spaces) as an abstraction of the properties of universal covers of closed, negatively curved manifolds and their fundamental groups.
Erik Guentner +2 more
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The conjugacy problem for relatively hyperbolic groups [PDF]
Algebraic & Geometric Topology, 2004 Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-43.abs ...
Inna Bumagin
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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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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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