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

Aldizkaria:
Revista matemática iberoamericana

ISSN: 0213-2230

Argitalpen urtea: 2019

Alea: 35

Zenbakia: 2

Orrialdeak: 521-560

Mota: Artikulua

Beste argitalpen batzuk: Revista matemática iberoamericana

Laburpena

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.