Schreier spectrum of the Hanoi Towers group on three pegs

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Finite dimensional representations of the Hanoi Towers group are used to calculate the spectra of the finite graphs associated to the Hanoi Towers Game on three pegs (the group serves as a renorm group for the game). These graphs are Schreier graphs of the action of the Hanoi Towers group on the levels of the rooted ternary tree. The spectrum of the limiting graph (Schreier graph of the action on the boundary of the tree) is also provided.

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Group Theory, Combinatorics, 37A30, 20E08, 05C50

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http://salesiana.dossiersoluciones.com/handle/123456789/141217

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.0068
 http://arxiv.org/abs/0711.0068

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arXiv