%0 Journal Article
%T On a theorem of Shkredov
%A Tom Sanders
%J Online Journal of Analytic Combinatorics
%D 2010
%I University of Auckland
%X We show that if $A$ is a finite subset of an abelian group with additive energy at least $c|A|^3$, then there is a set $mathcal L subset A$ with $|mathcal L| = O(c^{ 1} log |A|)$ such that $|A cap ext{ Span}(mathcal L)| = Omega (c^{1/3}|A|)$.
%U http://analytic-combinatorics.org/index.php/ojac/article/view/63