Resumen de Growth in SL3(Z/pZ)

Harald Andrés Helfgott

• 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.