Geodesic
A new upper bound for the asymptotic dimension of RACGs
Canadian mathematical bulletin, Tome 67 (2024) no. 2, pp. 338-349

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DOI

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.
DOI : 10.4153/S0008439523000760
Mots-clés : Geometric group theory, RACGs, asymptotic dimension, clique-connected dimension 
Tselekidis, Panagiotis. A new upper bound for the asymptotic dimension of RACGs. Canadian mathematical bulletin, Tome 67 (2024) no. 2, pp. 338-349. doi: 10.4153/S0008439523000760
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