Results 1 to 10 of about 437,604 (285)
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
core +7 more sources
Finiteness properties and relatively hyperbolic groups
Bulletin of the London Mathematical Society, 2023 We show that properties Fn$F_n$ and FPn$FP_n$ hold for a relatively hyperbolic group if and only if they hold for all the peripheral subgroups. As an application we show that there are at least countably many distinct quasi‐isometry classes of one‐ended ...
Harsh Patil
semanticscholar +4 more sources
Recognizing a relatively hyperbolic group by its Dehn fillings [PDF]
Duke mathematical journal, 2018 Dehn fillings for relatively hyperbolic groups generalize the topological Dehn surgery on a non-compact hyperbolic $3$-manifold such as a hyperbolic knot complement.
Dahmani, François, Guirardel, Vincent
core +3 more sources
Branching Random Walks on relatively hyperbolic groups [PDF]
Annals of Probability, 2022 Let $\Gamma$ be a non-elementary relatively hyperbolic group with a finite generating set. Consider a finitely supported admissible and symmetric probability measure $\mu$ on $\Gamma$ and a probability measure $\nu$ on $\mathbb{N}$ with mean $r$.
Matthieu Dussaule +2 more
openalex +3 more sources
Local connectedness of boundaries for relatively hyperbolic groups [PDF]
Journal of Topology, 2022 Let (Γ,P)$(\Gamma,\mathbb {P})$ be a relatively hyperbolic group pair that is relatively one ended. Then, the Bowditch boundary of (Γ,P)$(\Gamma,\mathbb {P})$ is locally connected.
Ashani Dasgupta, G. Christopher Hruska
openalex +3 more sources
Boundaries of graphs of relatively hyperbolic groups with cyclic edge groups [PDF]
Proceedings - Mathematical Sciences, 2022 We prove that the fundamental group of a finite graph of convergence groups with parabolic edge groups is a convergence group. Using this result, under some mild assumptions, we prove a combination theorem for a graph of convergence groups with ...
Ravi Tomar
openalex +3 more sources
DISMANTLABLE CLASSIFYING SPACE FOR THE FAMILY OF PARABOLIC SUBGROUPS OF A RELATIVELY HYPERBOLIC GROUP [PDF]
Journal of the Institute of Mathematics of Jussieu, 2017 Let $G$ be a group hyperbolic relative to a finite collection of subgroups ${\mathcal{P}}$ . Let ${\mathcal{F}}$ be the family of subgroups consisting of all the conjugates of subgroups in ${\mathcal{P}}$ , all their subgroups, and all finite subgroups ...
Eduardo Martínez-Pedroza +1 more
openalex +3 more sources
Relatively hyperbolic groups with strongly shortcut parabolics are strongly shortcut [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2023 We show that a group that is hyperbolic relative to strongly shortcut groups is itself strongly shortcut, thus obtaining new examples of strongly shortcut groups.
Nima Hoda, Suraj Krishna M S
openalex +3 more sources
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
core +15 more sources
Quasiconvexity of virtual joins and separability of products in relatively hyperbolic groups
Algebraic & Geometric Topology, 2022 A relatively hyperbolic group $G$ is said to be QCERF if all finitely generated relatively quasiconvex subgroups are closed in the profinite topology on $G$.
Ashot Minasyan, Lawk Mineh
openalex +2 more sources