Uniform expansion bounds for Cayley graphs of SL2(Fp)

• Autores: Jean Bourgain, Alex Gamburd
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 167, Nº 2, 2008, págs. 625-642
• Idioma: inglés
• DOI: 10.4007/annals.2008.167.625
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• Resumen

  • We prove that Cayley graphs of SL2(Fp) are expanders with respect to the projection of any fixed elements in SL(2, Z) generating a non-elementary subgroup, and with respect to generators chosen at random in SL2(Fp).