Growth and generation in SL_2(Z/pZ)

HA Helfgott

Research output: Non-textual formWeb publication/site

Abstract

We show that every subset of SL_2(Z/pZ) grows rapidly when it acts on itself by the group operation. It follows readily that, for every set of generators A of SL_2(Z/pZ), every element of SL_2(Z/pZ) can be expressed as a product of at most O((log p)^c) elements of the union of A and A^{-1}, where c and the implied constant are absolute.
Translated title of the contributionGrowth and generation in SL_2(Z/pZ)
Original languageEnglish
PublisherCornell University Press
Publication statusPublished - 11 Jun 2007

Bibliographical note

Other: To appear in Annals of Mathematics

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