Isospectral Cayley graphs of some finite simple groups

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We apply spectral analysis of quotients of the Bruhat-Tits buildings of type $\tilde{A}_{d-1}$ to construct isospectral non-isomorphic Cayley graphs of the finite simple groups $\operatorname{PSL}_d({\mathbb F}_q)$ for every $d \geq 5$ ($d \neq 6$) and prime power $q > 2$.
14 pages

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Combinatorics, Representation Theory, 20F65, 11F72

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http://salesiana.dossiersoluciones.com/handle/123456789/73770

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0501065
 http://arxiv.org/abs/math/0501065

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arXiv