Word length versus lower central series depth for surface groups and RAAGs
Group Theory
2024-02-08 v3 Geometric Topology
Abstract
For surface groups and right-angled Artin groups, we prove lower bounds on the shortest word in the generators representing a nontrivial element of the kth term of the lower central series.
Cite
@article{arxiv.2307.04882,
title = {Word length versus lower central series depth for surface groups and RAAGs},
author = {Justin Malestein and Andrew Putman},
journal= {arXiv preprint arXiv:2307.04882},
year = {2024}
}
Comments
11 pages, 4 figures, minor revision; to appear in Groups Geom. Dyn