Lehmer's question, knots and surface dynamics

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Lehmer's question is equivalent to one about generalized growth rates of Lefschetz numbers of iterated pseudo-Anosov surface homeomorphisms. One need consider only homeomorphisms that arise as monodromies of fibered knots in lens spaces L(n,1), n>0. Lehmer's question for Perron polynomials is equivalent to one about generalized growth rates of words under injective free group endomorphisms.
Small corrections; to appear in Math. Proc. Cambridge Phil. Soc. 17 pages, 1 figure

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Geometric Topology, Dynamical Systems, 57M25; 37C25; 11R06

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http://salesiana.dossiersoluciones.com/handle/123456789/136792

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0509068
 http://arxiv.org/abs/math/0509068

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arXiv