An elementary additive doubling inequality

Details An elementary additive doubling inequality An elementary additive doubling inequality

2011-07-22

arxiv.org/abs/1107.4494v2

Mathematics

Combinatorics

Withdrawn (permanently!) thanks to B. Bukh, and T. Tao who both pointed out that the trivial case of the zero difference makes

Scientific paper

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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