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arxiv: 0906.2790 · v1 · submitted 2009-06-16 · 🧮 math.GT · math.DS

Periodic orbits of a dynamical system related to a knot

classification 🧮 math.GT math.DS
keywords graphknotspacecommutatorcompletelyconsidercyclesdescribe
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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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