Relative hyperbolicity of hyperbolic-by-cyclic groups
| Autor: | Dahmani, François, S, Suraj Krishna M |
|---|---|
| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Groups Geom. Dyn. 17 (2023), no. 2, 403--426 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.4171/ggd/703 |
| Popis: | Let $G$ be a torsion-free hyperbolic group and $\alpha$ an automorphism of $G$. We show that there exists a canonical collection of subgroups that are polynomially growing under $\alpha$, and that the mapping torus of $G$ by $\alpha$ is hyperbolic relative to the suspensions of the maximal polynomially growing subgroups under $\alpha$. Comment: 21 pages, 1 figure. v2: Incorporates referee comments |
| Databáze: | arXiv |
| Externí odkaz: |
|