The lower central series of a right-angled Artin group
Group Theory
2022-08-08 v2
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.
Keywords
Cite
@article{arxiv.1109.1722,
title = {The lower central series of a right-angled Artin group},
author = {Richard D. Wade},
journal= {arXiv preprint arXiv:1109.1722},
year = {2022}
}
Comments
22 pages, 1 figure. Final arXiv version. To appear in Ens. Math