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Finite Simple Groups as Expanders

Martin Kassabov·Alexander Lubotzky·Nikolay Nikolov
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Abstract

We prove that there exist $k\in N$ and $0<ε\in R$ 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 $ε$-expander.

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Martin Kassabov, Alexander Lubotzky, Nikolay Nikolov. 2005-10-26. Finite Simple Groups as Expanders. https://doi.org/10.1073/pnas.0510337103

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