arXiv:1904.10482 Abstract | arXiv Analytics

arXiv:1904.10482 [math.GR]Abstract References Reviews Resources

On the quasi-isometric rigidity of graphs of surface groups

Published 2019-04-23Version 1

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 $\Gamma$.

Comments: 54 pages, 10 figures, comments welcome

Categories: math.GR, math.GT

Subjects: 20F67, 20E08, 22E40, 57M12

Keywords: quasi-isometric rigidity, word hyperbolic group, rigid vertex groups, cyclic jsj decomposition, fundamental groups

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