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arXiv · 1309.1975

Expansion in finite simple groups of Lie type

Emmanuel Breuillard·Ben Green·Robert Guralnick·Terence Tao
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Abstract

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, establishing strongly dense subgroups in simple algebraic groups.

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Emmanuel Breuillard, Ben Green, Robert Guralnick, Terence Tao. 2014-02-07. Expansion in finite simple groups of Lie type. https://arxiv.org/abs/1309.1975

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