http://www.numdam.org/articles/10.1007/s10240-008-0014-3/ WebFor groups that are relatively hyperbolic to groups that satisfy the Farrell–Jones conjecture and are in addition residually finite Antolín et al. [Reference Antolín, Coulon and Gandini …
Relatively Hyperbolic Groups
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) spaces, hyperbolic groups, and relatively hyperbolic groups. We'll define each of these kinds of spaces/groups, and give (at least) one construction for a natural notion ... WebJan 30, 2008 · 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). We prove the equivalence of Gromov, Osin, and Bowditch's definitions of relative hyperbolicity … rohnert pk / cotati
The isomorphism problem for toral relatively hyperbolic groups
WebA relatively hyperbolic group G = ˇ 1(X ) is one-ended, torsion-free. It is not (Gromov)-hyperbolic, because it contains Z2, but it is hyperbolic relative to this subgroup P = Z2 (parabolic subgroup). joint work with V. Guirardel, A. Minasyan Automorphisms of relatively hyperbolic groups Relatively hyperbolic groups WebHyperbolic groups summer minicourse. This course took place in summer 2024, as part of a series of summer mini-courses for graduate students organized by Richard Wong. It was an introductory five-day course on hyperbolic groups, intended to be accessible for people without much background in the subject. Max Riestenberg was a guest lecturer on ... 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 rohnert park weather 10 day