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arXiv · 1904.10482

On the quasi-isometric rigidity of graphs of surface groups

Alexander Taam·Nicholas W. M. Touikan
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Abstract

Let $Γ$ be a word hyperbolic group with a cyclic JSJ decomposition that has only rigid vertex groups, which are all fundamental groups of closed surface groups. We show that any group $H$ quasi-isometric to $Γ$ is abstractly commensurable with $Γ$.

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Alexander Taam, Nicholas W. M. Touikan. 2023-06-12. On the quasi-isometric rigidity of graphs of surface groups. https://arxiv.org/abs/1904.10482

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