Experiments on growth series of braid groups


الملخص بالإنكليزية

We introduce an algorithmic framework to investigate spherical and geodesic growth series of braid groups relatively to the Artins or Birman-Ko-Lees 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-Lees generators.

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