Metric properties of Baumslag-Solitar groups

preprint2014arXivOpen access

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 $BS(p,q)$ , with $1<p\le q$ .

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Metric properties of Baumslag-Solitar groups

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