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

2016/11/06 by Montserrat Casals‐Ruiz, Casals-Ruiz, Montserrat, Ilya Kazachkov +3
Mathematics · #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.1611.01741

openalex publication_date 2016/11/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study the classification of right-angled Artin groups up to\ncommensurability. We characterise the commensurability classes of RAAGs defined\nby trees of diameter 4. In particular, we prove a conjecture of Behrstock and\nNeumann that there are infinitely many commensurability classes. Hence, we give\nfirst examples of RAAGs that are quasi-isometric but not commensurable.\n

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