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arxiv: 1107.4494 · v2 · pith:Z2WJ327Hnew · submitted 2011-07-22 · 🧮 math.CO

An elementary additive doubling inequality

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keywords doublingadditiveelementaryinequalitylargesubsetabeliancombinatorics
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We prove an elementary additive combinatorics inequality, which says that if $A$ is a subset of an Abelian group, which has, in some strong sense, large doubling, then the difference set A-A has a large subset, which has small doubling.

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