# Algebraic invariants for right-angled Artin groups

@article{Papadima2005AlgebraicIF, title={Algebraic invariants for right-angled Artin groups}, author={Stefan Papadima and Alexander I. Suciu}, journal={Mathematische Annalen}, year={2005}, volume={334}, pages={533-555} }

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.

## 73 Citations

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