Finite Representations of the braid group commutator subgroupReport as inadecuate




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1 LATN - Laboratoire d-Algèbre et Théorie des Nombres

Abstract : We study the representations of the commutator subgroup K {n} of the braid group B {n} into a finite group . This is done through a symbolic dynamical system. Some experimental results enable us to compute the number of subgroups of K {n} of a given finite index, and, as a by-product, to recover the well known fact that every representation of K {n} into S {r} , with n > r , must be trivial.

Mots-clés : groupe des tresses représentation dynamique symbolique groupe symétrique





Author: Abdelouahab Arouche -

Source: https://hal.archives-ouvertes.fr/



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