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