Proper actions on finite products of quasi-trees
Annales Henri Lebesgue, Volume 4 (2021) , pp. 685-709.

### Metadata

KeywordsQuasi-trees, Projection complexes, Hyperbolic groups, Mapping class groups

### Abstract

We say that a finitely generated group $G$ has property (QT) if it acts isometrically on a finite product of quasi-trees so that orbit maps are quasi-isometric embeddings. A quasi-tree is a connected graph with path metric quasi-isometric to a tree, and product spaces are equipped with the ${\ell }^{1}$-metric.

We prove that residually finite hyperbolic groups and mapping class groups have (QT).

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