Suzuki groups as expanders

  • Emmanuel Breuillard

    Université Paris-Sud 11, Orsay, France
  • Ben J. Green

    University of Oxford, United Kingdom
  • Terence Tao

    University of California Los Angeles, United States


We show that pairs of generators for the family Sz() of Suzuki groups may be selected so that the corresponding Cayley graphs are expanders. By combining this with several deep works of Kassabov, Lubotzky and Nikolov, this establishes that the family of all non-abelian finite simple groups can be made into expanders in a uniform fashion.

Cite this article

Emmanuel Breuillard, Ben J. Green, Terence Tao, Suzuki groups as expanders. Groups Geom. Dyn. 5 (2011), no. 2, pp. 281–299

DOI 10.4171/GGD/128