A note on virtual duality and automorphism groups of right-angled Artin groups
| Autor: | Wade, RD, Brück, B |
|---|---|
| Rok vydání: | 2021 |
| Předmět: | |
| DOI: | 10.48550/arxiv.2101.08225 |
| Popis: | A theorem of Brady and Meier states that a right-angled Artin group is a duality group if and only if the flag complex of the defining graph is Cohen--Macaulay. We use this to give an example of a RAAG with the property that its outer automorphism group is not a virtual duality group. This gives a partial answer to a question of Vogtmann. In an appendix, Br\"uck describes how he used a computer-assisted search to find further examples. Comment: 11 pages, 3 figures. Article by Wade, with an appendix by Br\"uck. Version accepted to Glasgow Mathematical Journal |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|