Acylindrical hyperbolicity for Artin groups of dimension 2

DOI10.1007/S10711-021-00664-5arXiv2007.16169MaRDI QIDQ6346262

Nicolas Vaskou

Publication date: 31 July 2020

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.

Mathematics Subject Classification ID

Geometric group theory (20F65) Braid groups; Artin groups (20F36) Hyperbolic groups and nonpositively curved groups (20F67)

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