  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.
