Small doubling in groups

Emmanuel Breuillard,Ben Green,Terence Tao

ERDOS CENTENNIAL（2013）

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摘要

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 = {a_1 a_2 : a_1, a_2 in A}. The case G = (Z,+) is the famous Freiman--Ruzsa theorem.

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