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Preprints, Working Papers, ... Year : 2021

Experiments on growth series of braid groups

Abstract

We introduce an algorithmic framework to investigate spherical and geodesic growth series of braid groups relatively to the Artin's or Birman-Ko-Lee's generators. We present our experimentations in the case of three and four strands and conjecture rational expressions for the spherical growth series with respect to the Birman-Ko-Lee's generators.
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Dates and versions

hal-02929264 , version 1 (03-09-2020)
hal-02929264 , version 2 (27-01-2021)
hal-02929264 , version 3 (14-04-2021)

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Jean Fromentin. Experiments on growth series of braid groups. 2021. ⟨hal-02929264v3⟩
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