Freiman's theorem in an arbitrary abelian group

• Autores: Benjamin Green, Imre Z. Ruzsa
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 75, Nº 1, 2007, págs. 163-175
• Idioma: inglés
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• Resumen

  • A famous result of Freiman describes the structure of finite sets A with small doubling property. If |A + A| K|A|, then A is contained within a multidimensional arithmetic progression of dimension d(K) and size f(K)|A|. Here we prove an analogous statement valid for subsets of an arbitrary abelian group