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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 $\Gamma$ 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 $\Gamma$ is abstractly commensurable with $\Gamma$.

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Alexander Taam, Nicholas W. M. Touikan. 2019-04-23. On the quasi-isometric rigidity of graphs of surface groups. https://arxiv.org/abs/1904.10482

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