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arxiv: 0710.4079 · v2 · submitted 2007-10-22 · 🧮 math.GR

Geodesics in trees of hyperbolic and relatively hyperbolic groups

classification 🧮 math.GR
keywords hyperbolicgroupsrelativelygeodesicstreesapplicationapproximationcareful
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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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