A cube complex for virtual Artin groups

Jos{é} Galvez Mateos, José Galvez Mateos, Luis Paris

Let $\Gamma$ be a Coxeter graph, and let $S$ be its vertex set. An elemental complex over $\Gamma$ is an abstract simplicial complex $\mathcal{D}$ on $S$ that contains every pair $\{s,t\}$ w…