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On commensurability of right-angled Artin groups I: RAAGs defined by trees of diameter 4 (1611.01741v2)
Published 6 Nov 2016 in math.GR
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. Hence, we give first examples of RAAGs that are quasi-isometric but not commensurable.
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