Small doubling in groups
Number Theory
2013-02-01 v1
Abstract
Let A be a subset of a group G = (G,.). We will survey the theory of sets A with the property that |A.A| <= K|A|, where A.A = {a_1 a_2 : a_1, a_2 in A}. The case G = (Z,+) is the famous Freiman--Ruzsa theorem.
Cite
@article{arxiv.1301.7718,
title = {Small doubling in groups},
author = {Emmanuel Breuillard and Ben Green and Terence Tao},
journal= {arXiv preprint arXiv:1301.7718},
year = {2013}
}
Comments
23 pages, survey article submitted to Proceedings of the Erdos Centenary conference