Finite simple groups as expanders.

Kassabov, Martin; Lubotzky, Alexander; Nikolov, Nikolay · Proc Natl Acad Sci U S A · 2006

basic_science · Level V

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Abstract

We prove that there exist k in and 0 < epsilon in 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.