A Cartan-Hadamard type result for relatively hyperbolic groups
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🧮 math.GR
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hyperbolicrelativelyanswersarticleasymptoticcartan-hadamardconefinitely
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In this article, we prove that if a finitely presented group has an asymptotic cone which is tree-graded with respect to a precise set of pieces then it is relatively hyperbolic. This answers a question of M. Sapir.
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