Periodic orbits of a dynamical system related to a knot

Mathematics – Geometric Topology

Scientific paper

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13 pages

Scientific paper

We consider the space of all representations of the commutator subgroup of a
knot group into Z/p, p is prime. As proven by D. Silver and S. Williams, this
space can be completely described by a finite oriented graph. We describe the
lengths of cycles in this graph.

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