论文标题
与无三角形图相关的Artin-tits基团的酰基透明度的双曲线
Acylindrical hyperbolicity of Artin-Tits groups associated to triangle-free graphs and cones over square-free bipartite graphs
论文作者
论文摘要
据推测，每个不可还原Artin群的中心商实际上是循环或酰基双曲线的。我们证明了这种猜想是针对与无三角形图和与锥体相关的大型图形组相关的ARTIN组，而无方形的双分部分图。实际上，我们对Brady和McCammond的结果对待已知为CAT（0）的Artin群体。
It is conjectured that the central quotient of every irreducible Artin group is either virtually cyclic or acylindrically hyperbolic. We prove this conjecture for Artin groups associated to triangle-free graphs and Artin groups of large type associated to cones over square-free bipartite graphs. In fact, we treat Artin groups that are known to be CAT(0) groups by a result of Brady and McCammond.
