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math.NT2005
Freiman's Theorem in an arbitrary abelian group
Ben Green, Imre Z. Ruzsa
A famous result of Freiman describes the structure of finite sets A of integers with small doubling property. If |A + A| <= K|A| then A is contained within a multidimensional arith…
math.NT2004
Sets with small sumset and rectification
Ben Green, Imre Z. Ruzsa
We study the extent to which sets A in Z/NZ, N prime, resemble sets of integers from the additive point of view (``up to Freiman isomorphism''). We give a direct proof of a result…