JournalsrmiVol. 35, No. 2pp. 521–560

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

  • Montserrat Casals-Ruiz

    Basque Foundation for Science, Bilbao, Spain, and Universidad del País Vasco, Leioa, Spain
  • Ilya Kazachkov

    Basque Foundation for Science, Bilbao, Spain, and Universidad del País Vasco, Leioa, Spain
  • Alexander Zakharov

    Universidad del País Vasco, Leioa, Spain and Russian Foreign Trade Academy, Moscow, Russia
On commensurability of right-angled Artin groups I: RAAGs defined by trees of diameter 4 cover

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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.

Cite this article

Montserrat Casals-Ruiz, Ilya Kazachkov, Alexander Zakharov, On commensurability of right-angled Artin groups I: RAAGs defined by trees of diameter 4. Rev. Mat. Iberoam. 35 (2019), no. 2, pp. 521–560

DOI 10.4171/RMI/1061