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arXiv · 2006.07288

Relative hyperbolicity of hyperbolic-by-cyclic groups

François Dahmani·Suraj Krishna M S
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Abstract

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 $α$.

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François Dahmani, Suraj Krishna M S. 2021-08-24. Relative hyperbolicity of hyperbolic-by-cyclic groups. https://doi.org/10.4171/ggd%2F703

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