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Preprint Number 555
555. Emmanuel Breuillard, Ben Green and Terence Tao Small doubling in groups E-mail: Submission date: 31 January 2013. Abstract: 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. Mathematics Subject Classification: Keywords and phrases: |

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