  We investigate the resonance varieties, lower central series ranks, and Chen
ranks of the pure virtual braid groups and their upper-triangular subgroups. As
an application, we give a complete answer to the 1-formality question for this
class of groups. In the process, we explore various connections between the
Alexander-type invariants of a finitely generated group and several of the
graded Lie algebras associated to it, and discuss possible extensions of the
resonance-Chen ranks formula in this context.
