## Duke Mathematical Journal

### Groups quasi-isometric to right-angled Artin groups

#### Abstract

We characterize groups quasi-isometric to a right-angled Artin group (RAAG) $G$ with finite outer automorphism group. In particular, all such groups admit a geometric action on a $\operatorname{CAT}(0)$ cube complex that has an equivariant “fibering” over the Davis building of $G$. This characterization will be used in forthcoming work of the first author to give a commensurability classification of the groups quasi-isometric to certain RAAGs.

#### Article information

Source
Duke Math. J., Volume 167, Number 3 (2018), 537-602.

Dates
Revised: 31 July 2017
First available in Project Euclid: 9 January 2018

https://projecteuclid.org/euclid.dmj/1515467194

Digital Object Identifier
doi:10.1215/00127094-2017-0042

Mathematical Reviews number (MathSciNet)
MR3761106

Zentralblatt MATH identifier
06848179

Subjects
Secondary: 20F69: Asymptotic properties of groups

#### Citation

Huang, Jingyin; Kleiner, Bruce. Groups quasi-isometric to right-angled Artin groups. Duke Math. J. 167 (2018), no. 3, 537--602. doi:10.1215/00127094-2017-0042. https://projecteuclid.org/euclid.dmj/1515467194

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