Acylindrical hyperbolicity for Artin groups of dimension 2

Nicolas Vaskou

Acylindrical hyperbolicity for Artin groups of dimension 2

Group Theory 2021-10-04 v2

Authors: Nicolas Vaskou

Abstract

In this paper, we show that every irreducible $2$ -dimensional Artin group $A_{\Gamma}$ of rank at least $3$ is acylindrically hyperbolic. We do this by studying the action of $A_{\Gamma}$ on its modified Deligne complex. Along the way, we prove results of independent interests on the geometry of links of this complex.

Keywords

hyperbolic groups

Cite

@article{arxiv.2007.16169,
  title  = {Acylindrical hyperbolicity for Artin groups of dimension 2},
  author = {Nicolas Vaskou},
  journal= {arXiv preprint arXiv:2007.16169},
  year   = {2021}
}

Comments

25 pages, 9 figures

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