Isospectral Cayley graphs of some finite simple groups

Details Isospectral Cayley graphs of some finite simple groups Isospectral Cayley graphs of some finite simple groups

2005-01-05

arxiv.org/abs/math/0501065v1

Mathematics

Combinatorics

14 pages

Scientific paper

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 $q > 2$.

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