It is conjectured that the central quotient of any irreducible Artin–Tits group is either virtually cyclic or acylindrically hyperbolic. We prove this conjecture for Artin–Tits groups that are known to be CAT(0) groups by a result of Brady and McCammond, that is, Artin–Tits groups associated with graphs having no 3-cycles and Artin–Tits groups of almost large type associated with graphs admitting appropriate directions. In particular, the latter family contains Artin–Tits groups of large type associated with cones over square-free bipartite graphs.

中文翻译：

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ARTIN-TITS 群的圆柱双曲线与无三角形图和锥体在无方形二分图上的关系

据推测，任何不可约 Artin-Tits 群的中心商要么实际上是循环的，要么是非圆柱双曲线的。我们通过 Brady 和 McCammond 的结果证明了已知为 CAT(0) 群的 Artin-Tits 群的猜想，即与没有 3 循环的图相关联的 Artin-Tits 群和几乎大的 Artin-Tits 群与允许适当方向的图形关联的类型。特别是，后一族包含与无平方二分图上的锥体相关的大型 Artin-Tits 组。