Metric properties of Baumslag-Solitar groups

2014/02/17 by José Burillo, Burillo, José, Murray Elder +1 · 1 citation
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #math.GR

paper · pdf · doi:10.48550/arxiv.1402.3859

arxiv created 2014/09/01 · arxiv updated 2014/09/02

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), with 1<p≤ q.

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