Geodesic
Expansion in finite simple groups of Lie type
Journal of the European Mathematical Society, Tome 17 (2015) no. 6, pp. 1367-1434.

Voir la notice de l'article provenant de la source EMS Press

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].
DOI : 10.4171/jems/533
Classification : 20-XX
Keywords: Finite simple groups, expander graphs, product theorems 
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     title = {Expansion in finite simple groups of {Lie} type},
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Emmanuel Breuillard; Ben J. Green; Robert M. Guralnick; Terence Tao. Expansion in finite simple groups of Lie type. Journal of the European Mathematical Society, Tome 17 (2015) no. 6, pp. 1367-1434. doi : 10.4171/jems/533. http://geodesic.mathdoc.fr/articles/10.4171/jems/533/

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