Algebraic invariants for right-angled Artin groups

Mathematics – Group Theory

Scientific paper

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20 pages; accepted for publication by Math. Annalen

Scientific paper

10.1007/s00208-005-0704-9

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.

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