arXiv:2204.06151 Abstract | arXiv Analytics

arXiv:2204.06151 [math.GR]Abstract References Reviews Resources

Pregroups and hyperbolicity

Published 2022-04-13Version 1

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.

Comments: 22 pages, 16 figures

Categories: math.GR

Subjects: 20F65, 20F67, 20E06

Keywords: hyperbolicity, study hyperbolicty, universal group

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