Acylindrical hyperbolicity for Artin groups of dimension 2

Nicolas Vaskou

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Abstract

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

Original languageEnglish
Article number7
JournalGeometriae Dedicata
Volume216
Issue number1
Early online date31 Dec 2021
DOIs
Publication statusPublished - Feb 2022

Keywords

  • acylindrically hyperbolic groups
  • Artin groups
  • CAT(0) geometry
  • Deligne complex

ASJC Scopus subject areas

  • Geometry and Topology

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