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Geodesics in trees of hyperbolic and relatively hyperbolic groups

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.Comment: 33 page

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This paper was published in arXiv.org e-Print Archive.

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