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arxiv: 1402.3859 · v2 · pith:5AOXN4SPnew · submitted 2014-02-17 · 🧮 math.GR

Metric properties of Baumslag-Solitar groups

classification 🧮 math.GR
keywords groupsmetricbaumslag--solitarbaumslag-solitarboundsbrittoncomputecorollary
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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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