On commensurability of right-angled Artin groups I: RAAGs defined by trees of diameter 4

  1. Montserrat Casals-Ruiz 1
  2. Ilya Kazachkov 1
  3. Alexander Zakharov 1
  1. 1 Universidad del País Vasco/Euskal Herriko Unibertsitatea
    info

    Universidad del País Vasco/Euskal Herriko Unibertsitatea

    Lejona, España

    ROR https://ror.org/000xsnr85

Journal:
Revista matemática iberoamericana

ISSN: 0213-2230

Year of publication: 2019

Volume: 35

Issue: 2

Pages: 521-560

Type: Article

DOI: 10.4171/RMI/1061 DIALNET GOOGLE SCHOLAR lock_openOpen access editor

More publications in: Revista matemática iberoamericana

Abstract

In this paper we study the classification of right-angled Artin groups up to commensurability. We characterise the commensurability classes of RAAGs defined by trees of diameter 4. In particular, we prove a conjecture of Behrstock and Neumann that there are infinitely many commensurability classes of such RAAGs.

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