Lehmer's Question, Knots and Surface Dynamics

• Autores: Daniel S. Silver, Susan G. Williams
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 143, Nº 3, 2007, págs. 649-661
• Idioma: inglés
• DOI: 10.1017/s0305004107000618
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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 free group endomorphisms.