Algebraic invariants for right-angled Artin groups
Stefan Papadima and Alexander I. Suciu
A finite simplicial graph $\Gamma$ determines a right-angled Artin group $G_\Gamma$, with generators corresponding to the vertices of $\Gamma$, and with a relation $vw=wv$ for each pair of adjacent vertices. We compute the lower central series quotients, the Chen quotients, and the (first) resonance variety of $G_{\Gamma}$, directly from the graph $\Gamma$.