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.

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