Quasi-isometric classification of some high dimensional right-angled Artin groups

TL;DR

This paper classifies certain high-dimensional right-angled Artin groups up to quasi-isometry, providing the first such classification for groups with dimension greater than 2, applicable across all dimensions.

Contribution

It introduces the first quasi-isometry classification for high-dimensional right-angled Artin groups, expanding understanding beyond the previously studied low-dimensional cases.

Findings

Established quasi-isometry classifications for high-dimensional right-angled Artin groups

Demonstrated existence of such groups in every dimension

Extended classification results to groups with dimension greater than 2

Abstract

In this note we give the quasi-isometry classification for a class of right angled Artin groups. In particular, we obtain the first such classification for a class of Artin groups with dimension larger than 2; our families exist in every dimension.