The lower central series of a right-angled Artin group

Abstract

We give a description of 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 settings gives a simple algorithm to find a basis for consecutive quotients of the lower central series of a RAAG.

22 pages, 1 figure. Final arXiv version. To appear in Ens. Math

References in corpus (2)

• Algebraic invariants for right-angled Artin groups
• The strong Atiyah conjecture for right-angled Artin and Coxeter groups