Algebraic invariants for right-angled Artin groups
arXiv:math/0412520 · doi:10.1007/s00208-005-0704-9
Abstract
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
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