Groups quasi-isometric to right-angled Artin groups

Jingyin Huang, Bruce Kleiner

Research output: Contribution to journalArticle

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 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.

Original languageEnglish (US)
Pages (from-to)537-602
Number of pages66
JournalDuke Mathematical Journal
Volume167
Issue number3
DOIs
StatePublished - Feb 1 2018

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Right-angled Artin Group
Quasigroup
Isometric
Outer Automorphism Groups
Equivariant
Regular hexahedron

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Groups quasi-isometric to right-angled Artin groups. / Huang, Jingyin; Kleiner, Bruce.

In: Duke Mathematical Journal, Vol. 167, No. 3, 01.02.2018, p. 537-602.

Research output: Contribution to journalArticle

Huang, Jingyin ; Kleiner, Bruce. / Groups quasi-isometric to right-angled Artin groups. In: Duke Mathematical Journal. 2018 ; Vol. 167, No. 3. pp. 537-602.
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