A statistical approach to covering lemmas
arXiv:1610.07096 · doi:10.1016/j.ejc.2015.02.006
Abstract
We discuss a statistical variant of Ruzsa's covering lemma and use it to show that if G is an Abelian group of bounded exponent and A in G has |A+A| < K|A| then the subgroup generated by A has size at most exp(O(K log^22K))|A|, where the constant in the big-O depends on the exponent of the group only.
18pp