Author:
CASALS–RUIZ MONTSERRAT,KAZACHKOV ILYA,ZAKHAROV ALEXANDER
Abstract
AbstractIn this paper we continue the study of right-angled Artin groups up to commensurability initiated in [CKZ]. We show that RAAGs defined by different paths of length greater than 3 are not commensurable. We also characterise which RAAGs defined by paths are commensurable to RAAGs defined by trees of diameter 4. More precisely, we show that a RAAG defined by a path of length n > 4 is commensurable to a RAAG defined by a tree of diameter 4 if and only if n ≡ 2 (mod 4). These results follow from the connection that we establish between the classification of RAAGs up to commensurability and linear integer-programming.
Publisher
Cambridge University Press (CUP)
Reference24 articles.
1. [Wi96] Wise, D. . Non-Positively Curved Squared Complexes, Aperiodic Tilings and Non-Residually Finite Groups (Princeton University, 1996).
2. Embedability between right-angled Artin groups
3. The virtual Haken conjecture;Agol;Doc. Math
4. On Torsion-Free Groups with Infinitely Many Ends
5. The geometry of the curve graph of a right-angled Artin group;Kim;Int. J. Algebra Comput,2014
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