Pregroups and hyperbolicity

Abstract

In this paper we study hyperbolicty of the universal group $U(P)$ of a pregroup $P$. Given a finitely generated group $G$ and a pregroup $P$ such that $G\simeq U(P)$, we provide a particular set of axioms on $P$ which ensure that $G$ is word-hyperbolic.

22 pages, 16 figures