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Abstract

A finite simplicial graph Γ determines a right-angled Artin group GΓ, with generators corresponding to the vertices of Γ, and with a relation υw=wυ for each pair of adjacent vertices. We compute the lower central series quotients, the Chen quotients, and the (first) resonance variety of GΓ, directly from the graph Γ.

Mathematics Subject Classification (2000)  Primary: 20F36 - 13F55 - 20F14 - 55P62 - 57M07

Partially supported by NSF grant DMS-0311142.

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