title: Finite simple groups as expanders.
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.
authors.affiliation: Department of Mathematics, Cornell University, Ithaca, NY 14853, USA.
authors.forename: Martin
authors.initials: M
authors.lastname: Kassabov
authors.forename: Alexander
authors.initials: A
authors.lastname: Lubotzky
authors.forename: Nikolay
authors.initials: N
authors.lastname: Nikolov