Three-term arithmetic progressions and sumsets
classification
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math.CA
keywords
arithmeticepsilonprogressionsthree-termabeliancontainingfinitegroup
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Suppose that G is an abelian group and A is a finite subset of G containing no three-term arithmetic progressions. We show that |A+A| >> |A|(log |A|)^{1/3-\epsilon} for all \epsilon>0.
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