A Cartan-Hadamard type result for relatively hyperbolic groups
arXiv:1311.0773 · doi:10.1007/s10711-015-0105-5
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.
33 pages, 2 figures