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arXiv · 1610.07096

A statistical approach to covering lemmas

Tom Sanders
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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.

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Tom Sanders. 2016-10-22. A statistical approach to covering lemmas. https://doi.org/10.1016/j.ejc.2015.02.006

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