Li, Kevin (2023) Amenable covers of right-angled Artin groups. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 55 (2). pp. 978-989. ISSN 0024-6093, 1469-2120
Full text not available from this repository. (Request a copy)Abstract
Let AL$A_L$ be the right-angled Artin group associated with a finite flag complex L$L$. We show that the amenable category of AL$A_L$ equals the virtual cohomological dimension of the right-angled Coxeter group WL$W_L$. In particular, right-angled Artin groups satisfy a question of Capovilla-Loh-Moraschini proposing an inequality between the amenable category and Farber's topological complexity.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | CATEGORY; VOLUME; COHOMOLOGY |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 20 Feb 2024 10:42 |
| Last Modified: | 20 Feb 2024 10:42 |
| URI: | https://pred.uni-regensburg.de/id/eprint/56889 |
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