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Expansion in finite simple groups of Lie type

Emmanuel Breuillard; Ben J. Green; Robert Guralnick; Terence Tao — 2015

Journal of the European Mathematical Society

We show that random Cayley graphs of finite simple (or semisimple) groups of Lie type of fixed rank are expanders. The proofs are based on the Bourgain-Gamburd method and on the main result of our companion paper [BGGT].

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