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A new upper bound for the asymptotic dimension of RACGs
Published online by Cambridge University Press: 04 October 2023
Abstract
Let $W_{\Gamma} $ be the right-angled Coxeter group with defining graph $\Gamma $. We show that the asymptotic dimension of $W_{\Gamma} $ is smaller than or equal to $\mathrm{dim}_{CC}(\Gamma )$, the clique-connected dimension of the graph. We generalize this result to graph products of finite groups.
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- © The Author(s), 2023. Published by Cambridge University Press on behalf of The Canadian Mathematical Society