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Acylindrical hyperbolicity for Artin groups of dimension 2
Published 31 Jul 2020 in math.GR | (2007.16169v2)
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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