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Published in:
2013 | OriginalPaper | Chapter
Small Doubling in Groups
Authors : Emmanuel Breuillard, Ben Green, Terence Tao
Published in: Erdős Centennial
Publisher: Springer Berlin Heidelberg
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Let A be a subset of a group
G = (G; ·)
. We will survey the theory of sets
A
with the property that |A · A|≤K|A|, where
A · A = {a1a2: a1; a2 ∈ A}
. The case
G
= (ℤ; +) is the famous Freiman-Ruzsa theorem.