论文标题
逐一逐行群
Cubulating a free-product-by-cyclic group
论文作者
论文摘要
令$ g = h_1 * ... * H_K * f_r $是无扭转组的组，$ ϕ $ $ g $的自动形态保留了这种自由因子系统。我们表明，当$ ϕ $相对于此自由因素系统完全不可修复并且atoroidal时，映射圆环$γ= g \ rtimes_ϕ \ mathbb {z} $在高压猫（0）Cube Cube Complex上相对几何。这是对双曲线自由循环基团的哈根和明智的结果的概括。
Let $G = H_1 * ... * H_k * F_r$ be a torsion-free group and $ϕ$ an automorphism of $G$ that preserves this free factor system. We show that when $ϕ$ is fully irreducible and atoroidal relative to this free factor system, the mapping torus $Γ= G \rtimes_ϕ \mathbb{Z}$ acts relatively geometrically on a hyperbolic CAT(0) cube complex. This is a generalisation of a result of Hagen and Wise for hyperbolic free-by-cyclic groups.
