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Accidental parabolics and relatively hyperbolic groups

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Abstract

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

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Authors and Affiliations

  1. Labo. E. Picard, Université P. Sabatier, 118 Route de Narbonne, F-31062, Toulouse, France

    François Dahmani

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  1. François Dahmani
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Correspondence to François Dahmani.

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Dahmani, F. Accidental parabolics and relatively hyperbolic groups. Isr. J. Math. 153, 93–127 (2006). https://doi.org/10.1007/BF02771780

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  • DOI: https://doi.org/10.1007/BF02771780

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