Finite Simple Groups as Expanders

Details Finite Simple Groups as Expanders Finite Simple Groups as Expanders

2005-10-26

arxiv.org/abs/math/0510562v1

Mathematics

Group Theory

10 pages

Scientific paper

10.1073/pnas.0510337103

We prove that there exist $k\in N$ and $0<\epsilon\in R$ such that every
non-abelian finite simple group $G$, which is not a Suzuki group, has a set of
$k$ generators for which the Cayley graph $\Cay(G; S)$ is an
$\epsilon$-expander.

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