论文标题
逐循环基团的相对双曲
Relative hyperbolicity of hyperbolic-by-cyclic groups
论文作者
论文摘要
让$ g $为无扭转的双曲线组，$α$ $ g $。我们表明，存在一个规范的亚组集合，这些亚组在$α$下生长，而$ g $ by $α$的映射圆环相对于最大多项式增长的亚组的悬架是双曲线的。
Let $G$ be a torsion-free hyperbolic group and $α$ an automorphism of $G$. We show that there exists a canonical collection of subgroups that are polynomially growing under $α$, and that the mapping torus of $G$ by $α$ is hyperbolic relative to the suspensions of the maximal polynomially growing subgroups under $α$.
