## The growth rate for Baumslag-Solitar groups: Metric estimates and lower bounds

Pep Burillo (Catalunya)

Abstract

In this talk we will give estimates (up to multiplicative constants) of the distance of an element in the Baumslag-Solitar group BS(p,q), in terms of the Britton's lemma normal form. Except for the case p=q, the exact growth rate is unknown. We will give a lower bound for the growth rate based on the metric estimate seen before. This is joint work with Murray Elder.