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arXiv · 2007.16169

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 $A_{\Gamma}$ 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.

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Nicolas Vaskou. 2020-07-31. Acylindrical hyperbolicity for Artin groups of dimension 2. https://arxiv.org/abs/2007.16169

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