English

Dyer groups: Centres, hyperbolicity, and acylindrical hyperbolicity

Group Theory 2024-10-31 v1

Abstract

In this article we describe the centres of all Dyer groups. We also give a complete classification of when a Dyer group D(Γ)D(\Gamma) is hyperbolic or acylindricality hyperbolic, with conditions that can easily be read on the Dyer graph Γ\Gamma.

Keywords

Cite

@article{arxiv.2410.22464,
  title  = {Dyer groups: Centres, hyperbolicity, and acylindrical hyperbolicity},
  author = {Mireille Soergel and Nicolas Vaskou},
  journal= {arXiv preprint arXiv:2410.22464},
  year   = {2024}
}

Comments

10 pages, 3 figures

R2 v1 2026-06-28T19:40:18.608Z