Abstract

AbstractLet be the right‐angled Artin group associated with a finite flag complex . We show that the amenable category of equals the virtual cohomological dimension of the right‐angled Coxeter group . In particular, right‐angled Artin groups satisfy a question of Capovilla–Löh–Moraschini proposing an inequality between the amenable category and Farber's topological complexity.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.