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arXiv · 1311.0773

A Cartan-Hadamard type result for relatively hyperbolic groups

Rémi Coulon·Michael Hull·Curtis Kent
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Abstract

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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Rémi Coulon, Michael Hull, Curtis Kent. 2013-11-04. A Cartan-Hadamard type result for relatively hyperbolic groups. https://doi.org/10.1007/s10711-015-0105-5

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