The lower central series of a right-angled Artin group

Abstract

We give a description of Droms, Duchamp and Krob’s extension of Magnus’ approach to the lower central series of the free group to right-angled Artin groups. We also describe how Lalonde’s extension of Lyndon words to the partially commutative setting gives a simple algorithm to find a basis for consecutive quotients of the lower central series of a RAAG.