A statistical approach to covering lemmas
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 log22K))|A|, where the constant in the big-O depends on the exponent of the group only.
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