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Analysis & PDE· 2012Q1

On the Bogolyubov–Ruzsa lemma

Tom Sanders

Short summary

A new bound shows that for any finite subset A of an abelian group, 2A 2A contains a structured set (a coset progression) of significant size, specifically at least exp(O(log(1/K)))|A|, where K relates to the size of A+A.

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Field: Discrete Mathematics and Combinatorics

Discrete Mathematics and CombinatoricsMathematics