Groups, Geometry, and Dynamics


Full-Text PDF (284 KB) | Metadata | Table of Contents | GGD summary
Volume 4, Issue 4, 2010, pp. 681–692
DOI: 10.4171/GGD/100

Published online: 2010-10-15

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

Jason Behrstock[1], Tadeusz Januszkiewicz[2] and Walter D. Neumann[3]

(1) Lehman College, CUNY, Bronx, USA
(2) Polskiej Akademii Nauk, Warszawa, Poland
(3) Barnard College, Columbia University, New York, USA

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.

Keywords: Quasi-isometry, quasi-isometric classification, right-angled Artin group, bisimilarity

Behrstock Jason, Januszkiewicz Tadeusz, Neumann Walter: Quasi-isometric classification of some high dimensional right-angled Artin groups. Groups Geom. Dyn. 4 (2010), 681-692. doi: 10.4171/GGD/100