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Accidental parabolics and relatively hyperbolic groups

Francois Dahmani

math.GRarXiv:math/0210421

Abstract

By constructing, in the relative case, objects analoguous to Rips and Sela's canonical representatives, we prove that the set of images by morphisms without accidental parabolic, of a finitely presented group in a relatively hyperbolic group, is finite, up to conjugacy.

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