Pregroups and hyperbolicity

Jiayue Li; Denis Serbin

Pregroups and hyperbolicity

Group Theory 2022-04-14 v1

Authors: Jiayue Li , Denis Serbin

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.

Keywords

hyperbolic groups finite group theory hyperbolic geometry

Cite

@article{arxiv.2204.06151,
  title  = {Pregroups and hyperbolicity},
  author = {Jiayue Li and Denis Serbin},
  journal= {arXiv preprint arXiv:2204.06151},
  year   = {2022}
}

Comments

22 pages, 16 figures

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