Relatively hyperbolic groups
WebDec 29, 2015 · Relatively hyperbolic groups. A group G is relatively hyperbolic relative to a collection of subgroups G, if G admits an action on a connected graph, K, with the … WebAbstract. This course will be an investigation of various kinds of boundaries of spaces that sometimes show up when doing geometric group theory. We'll be focusing on CAT (0) …
Relatively hyperbolic groups
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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 WebJan 13, 2006 · Dehn filling in relatively hyperbolic groups. Daniel Groves, Jason Fox Manning. 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 hyperbolicity of …
WebMar 23, 2024 · This is the first of a series of two papers dealing with local limit theorems in relatively hyperbolic groups. In this first paper, we prove rough estimates for the Green … WebApr 25, 2012 · Abstract. In this paper we develop some of the foundations of the theory of relatively hyperbolic groups as originally formulated by Gromov. We prove the …
WebJan 15, 2024 · Title: Relatively Hyperbolic Groups with Semistable Peripheral Subgroups Authors: Matthew Haulmark , Michael Mihalik Download a PDF of the paper titled … WebWe provide a solution to the isomorphism problem for torsion-free relatively hyperbolic groups with abelian parabolics. As special cases we recover solutions to the isomorphism problem for: (i) torsion-free hyperbolic groups (Sela, [60] and unpublished); and (ii) finitely generated fully residually free groups (Bumagin, Kharlampovich and Miasnikov [14]).
Web5. Commensurating automorphisms of relatively hyperbolic groups 16 6. Group-theoretic Dehn surgery and normal automorphisms 20 7. Free products and groups with infinitely …
WebLimit sets for branching random walks on relatively hyperbolic groups - Wenyuan YANG 杨文元 BICMR, PKU (2024-12-13) Branching random walks (BRW) on groups consist of two independent processes on the Cayley graphs: branching and movement. Start with a particle on a favorite location of the graph. 4m以上 耐火被覆WebSep 19, 2008 · Abstract. 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 … 4m以下の車WebApr 10, 2005 · Lower bound on growth of non-elementary subgroups in relatively hyperbolic groups. Yu-miao Cui, Yue-Ping Jiang, Wen-yuan Yang. Mathematics, Computer Science. Journal of Group Theory. 2024. Abstract This paper proves that, in a non-elementary relatively hyperbolic group, the logarithm growth rate of any non-elementary subgroup … 4m以上の道路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) … 4m伸縮梯子Web5. Commensurating automorphisms of relatively hyperbolic groups 16 6. Group-theoretic Dehn surgery and normal automorphisms 20 7. Free products and groups with infinitely many ends 23 References 25 1. Introduction Recall that an automorphism α∈ Aut(G) of a group Gis said to be normal if α(N) = Nfor every normal subgroup Nof G. 4m伸縮脚立Webgroups. First, given a relatively hyperbolic group G, we construct a nice combinatorial Gromov hyperbolic model space acted on properly by G, which re°ects the relative hyperbolicity of G in many natural ways. Sec-ond, we construct two useful bicombings on this space. The flrst of these, preferred paths, is combinatorial in nature and allows ... 4m以上 記号WebApr 14, 2024 · Abstract Classical Kleinian groups can be defined as being discrete subgroups of automorphisms of the complex projective line P^1; that is, discrete subgroups of the projective group PSL(2,C). This group is isomorphic to the group of orientation preserving isometries of the real hyperbolic 3-space and its generalization to higher … 4m前後の車