FAST NIELSEN-THURSTON CLASSIFICATION OF BRAIDS

Matthieu Calvez (1)

1 Departamento de Matematicas

We prove the existence of an algorithm which solves the reducibility problem in braid groups and runs in quadratic time with respect to the braid length for any fixed braid index.

Mots clés: Braid group; Nielsen--Thurston classification

Domaines: Théorie des groupes [math.GR]

Matthieu Calvez. FAST NIELSEN-THURSTON CLASSIFICATION OF BRAIDS. 2013. ⟨hal-00647035v3⟩