Amenable covers of right-angled Artin groups
Group Theory
2022-04-05 v1 Algebraic Topology
Abstract
Let be the right-angled Artin group associated to 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--L\"oh--Moraschini proposing an inequality between the amenable category and Farber's topological complexity.
Keywords
Cite
@article{arxiv.2204.01162,
title = {Amenable covers of right-angled Artin groups},
author = {Kevin Li},
journal= {arXiv preprint arXiv:2204.01162},
year = {2022}
}
Comments
11 pages, comments welcome