Experiments on growth series of braid groups
Combinatorics
2021-04-16 v3 Group Theory
Abstract
We introduce an algorithmic framework to investigate spherical and geodesic growth series of braid groups relatively to the Artin's or Birman-Ko-Lee's generators. We present our experimentations in the case of three and four strands and conjecture rational expressions for the spherical growth series with respect to the Birman-Ko-Lee's generators.
Keywords
Cite
@article{arxiv.2009.02054,
title = {Experiments on growth series of braid groups},
author = {Jean Fromentin},
journal= {arXiv preprint arXiv:2009.02054},
year = {2021}
}