Algebraic invariants for right-angled Artin groups
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A finite simplicial graph Γdetermines a right-angled Artin group G_Γ, with generators corresponding to the vertices of Γ, 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_Γ, directly from the graph Γ.
20 pages; accepted for publication by Math. Annalen
20 pages; accepted for publication by Math. Annalen