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arXiv · 2204.06151

Pregroups and hyperbolicity

Jiayue Li·Denis Serbin
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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.

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Jiayue Li, Denis Serbin. 2022-04-13. Pregroups and hyperbolicity. https://arxiv.org/abs/2204.06151

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