Growth in SL3(Z/pZ)

Autores: Harald Andrés Helfgott
Localización: Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 13, Nº 3, 2011, págs. 761-851
Idioma: inglés
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Resumen
- Let G = SL3(Z/pZ), p a prime. Let A be a set of generators of G. Then A grows under the group operation.
  
  To be precise: denote by |S| the number of elements of a finite set S. Assume |A| < |G|1-e for some e > 0. Then |A · A · A| > |A|1+d, where d > 0 depends only on e.