Abstract
A finite simplicial graph Γ determines a right-angled Artin group G Γ, 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 G Γ, directly from the graph Γ.
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Partially supported by NSF grant DMS-0311142.
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Papadima, S., Suciu, A. Algebraic invariants for right-angled Artin groups. Math. Ann. 334, 533–555 (2006). https://doi.org/10.1007/s00208-005-0704-9
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DOI: https://doi.org/10.1007/s00208-005-0704-9