On commensurability of right-angled Artin groups I: RAAGs defined by\n trees of diameter 4
Montserrat Casals‐Ruiz, Ilya Kazachkov, A. F. Zakharov
Abstract
Open-access reader
Montserrat Casals‐Ruiz, Ilya Kazachkov, A. F. Zakharov
Abstract
Open-access reader
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
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
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
Key concepts: Commensurability (mathematics), Mathematics, Conjecture, Pure mathematics, Combinatorics