arXiv:1309.1975 Abstract | arXiv Analytics

arXiv:1309.1975 [math.GR]Abstract References Reviews Resources

Expansion in finite simple groups of Lie type

Emmanuel Breuillard, Ben Green, Robert Guralnick, Terence Tao

Published 2013-09-08, updated 2014-02-07Version 2

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.

Comments: 78 pages, 2 figures. This is the final version, incorporating referee comments

Categories: math.GR, math.CO

Subjects: 20G40, 20N99

Keywords: finite simple groups, lie type, simple algebraic groups, random cayley graphs, establishing strongly dense subgroups

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