Relatively hyperbolic groups

Author: mpry

August undefined, 2024

WebThe notion of a group hyperbolic relative to a collection of subgroups was originally proposed by Gromov [15]. Since then many definitions of relatively hyperbolic groups were suggested by Bowditch [5], Farb [13], Drutu-Osin-Sapir [11, 33], Groves-Manning [17], Osin [29], Yaman [38] and others. All these definitions except for those suggested in [29] are … WebJul 12, 2007 · Vol. 84 (2009) Relatively hyperbolic groups: geometry and quasi-isometric invariance 507 Theorem 1.6 (Theorem 5.4). Let G be an inﬁnite ﬁnitely generated group asymp- totically tree-graded with respect to a collection of subsets A.Then G is relatively hyperbolic with respect to some subgroups H 1;:::;H m, such that every H i is con- tained in …

Coarse flow spaces for relatively hyperbolic groups

WebIt is primarily in this context that relatively hyperbolic groups arise in nature, and is essentially the formulation given in [Gro]. However, it leaves unresolved certain obvious … WebFeb 1, 2007 · Recall that a normalized trace on a C ∗ -algebra A with unit is a linear map σ :A → C such that σ (1) = 1, σ (a ∗ a)greaterorequalslant0, and σ (ab)= σ (ba)for all a,b in A. In the present article our main goal is to characterize C ∗ -simple relatively hyperbolic groups. The class of relatively hyperbolic groups, that is, groups ... sunova koers

COMPLEX OF RELATIVELY HYPERBOLIC GROUPS - Cambridge Core

WebOct 9, 2024 · In 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 M K-simplicial complex, where k ≤ 0. WebJul 12, 2007 · Vol. 84 (2009) Relatively hyperbolic groups: geometry and quasi-isometric invariance 507 Theorem 1.6 (Theorem 5.4). Let G be an inﬁnite ﬁnitely generated group … Webthe properties of this notion. We show how a relatively hyperbolic group can be assumed to act on a proper hyperbolic space of a particular geometric form. We deﬁne the boundary … sunova nz

Maps Between Relatively Hyperbolic Groups and Their Boundaries

WebFeb 1, 2007 · This notion has been adapted to relatively hyperbolic groups in [Osi07] and [GM08] where the authors introduce a group theoretic analogue of Dehn filling and show that this process, when applied ... WebJan 15, 2024 · Title: Relatively Hyperbolic Groups with Semistable Peripheral Subgroups Authors: Matthew Haulmark , Michael Mihalik Download a PDF of the paper titled Relatively Hyperbolic Groups with Semistable Peripheral Subgroups, by Matthew Haulmark and Michael Mihalik su nova -s /bin/sh -c nova-manage api_db syncWebA hyperbolic group Gcontains a quasi-isometrically embedded copy of H2 if and only if it is not vir-tually free. In this paper, we study when a relatively hyperbolic group admits a … sunpak tripod

"A group G is relatively hyperbolic with respect to a subgroup H if, after contracting the Cayley graph of G along H-cosets, the resulting graph equipped with the usual graph metric becomes a δ-hyperbolic space and, moreover, it satisfies a technical condition which implies that quasi-geodesics with common endpoints … See more In mathematics, the concept of a relatively hyperbolic group is an important generalization of the geometric group theory concept of a hyperbolic group. The motivating examples of relatively hyperbolic groups … See more • If a group G is relatively hyperbolic with respect to a hyperbolic group H, then G itself is hyperbolic. See more Given a finitely generated group G with Cayley graph Γ(G) equipped with the path metric and a subgroup H of G, one can construct the coned off Cayley graph $${\displaystyle {\hat {\Gamma }}(G,H)}$$ as follows: For each left coset gH, add a vertex v(gH) to the … See more • Any hyperbolic group, such as a free group of finite rank or the fundamental group of a hyperbolic surface, is hyperbolic relative to the trivial subgroup. • The fundamental group of a complete hyperbolic manifold of finite volume is hyperbolic relative to its cusp subgroup. A … See more " - Relatively hyperbolic groups

Coarse flow spaces for relatively hyperbolic groups

COMPLEX OF RELATIVELY HYPERBOLIC GROUPS - Cambridge Core

Relatively hyperbolic groups

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