Three-term arithmetic progressions and sumsets

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Abstract

Suppose that G is an abelian group and that A G is finite and contains no non-trivial three-term arithmetic progressions. We show that |A+A| |A|(log|A|). © Edinburgh Mathematical Society 2009.

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Sanders, T. (2009). Three-term arithmetic progressions and sumsets. Proceedings of the Edinburgh Mathematical Society, 52(1), 211–233. https://doi.org/10.1017/S0013091506001398

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