论文标题
没有因素系统的肘
A cubulation with no factor system
论文作者
论文摘要
表明给定立方组的主要方法是在层次上双曲线，这是通过在立方体复合物上构造因子系统。在本文中，我们表明，这种结构并非总是可能的，即我们构建了一个立方体的组，该组没有因子系统。我们还构建了一个集体组，该基团在接触图上的诱导作用不是酰基的。
The primary method for showing that a given cubulated group is hierarchically hyperbolic is by constructing a factor system on the cube complex. In this paper we show that such a construction is not always possible, namely we construct a cubulated group for which the cube complex does not have a factor system. We also construct a cubulated group for which the induced action on the contact graph is not acylindrical.
