English

A Cartan-Hadamard type result for relatively hyperbolic groups

Group Theory 2018-08-24 v1

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.

Keywords

Cite

@article{arxiv.1311.0773,
  title  = {A Cartan-Hadamard type result for relatively hyperbolic groups},
  author = {Rémi Coulon and Michael Hull and Curtis Kent},
  journal= {arXiv preprint arXiv:1311.0773},
  year   = {2018}
}

Comments

33 pages, 2 figures

R2 v1 2026-06-22T02:00:39.274Z