Growth in

  • Harald Andrés Helfgott

    Georg-August-Universität Göttingen, Germany

Abstract

Let (ℤ/ℤ), a prime. Let be a set of generators of . Then grows under the group operation.

To be precise: denote by the number of elements of a finite set . Assume for some . Then , where depends only on .

We will also study subsets that do not generate . Other results on growth and generation follow.

Cite this article

Harald Andrés Helfgott, Growth in . J. Eur. Math. Soc. 13 (2011), no. 3, pp. 761–851

DOI 10.4171/JEMS/267