A finite simplicial graph Γ determines a right-angled Artin group
GΓ, with generators corresponding to the vertices of Γ, and with a relation υ
w=
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.