English

Metric properties of Baumslag-Solitar groups

Group Theory 2014-09-02 v2

Abstract

We compute estimates for the word metric of Baumslag--Solitar groups in terms of the Britton's lemma normal form. As a corollary, we find lower bounds for the growth rate for the groups BS(p,q)BS(p,q), with 1<pq1<p\le q.

Keywords

Cite

@article{arxiv.1402.3859,
  title  = {Metric properties of Baumslag-Solitar groups},
  author = {José Burillo and Murray Elder},
  journal= {arXiv preprint arXiv:1402.3859},
  year   = {2014}
}