Geodesics in trees of hyperbolic and relatively hyperbolic groups

2007/10/22 by François Gautero, F. Gautero, Gautero, F. · 1 citation
Mathematics · #Geometric and Algebraic Topology #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #math.GR #msc:20F65

paper · pdf · doi:10.48550/arxiv.0710.4079

33 pages

arxiv created 2008/03/24 · arxiv updated 2009/12/01

Abstract

We present a careful approximation of the geodesics in trees of hyperbolic or relatively hyperbolic groups. As an application we prove a combination theorem for finite graphs of relatively hyperbolic groups, with both Farb's and Gromov's definitions.

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