Acylindrical Actions for Two-Dimensional Artin Groups of Hyperbolic Type
Acylindrical Actions for Two-Dimensional Artin Groups of Hyperbolic Type
Abstract For a two-dimensional Artin group $A$ whose associated Coxeter group is hyperbolic, we prove that the action of $A$ on the hyperbolic space obtained by coning off certain subcomplexes of its modified Deligne complex is acylindrical. Moreover, if for each $s\in S$ there is $t\in S$ with $m_{st}< \infty …