3 citations · 3 across the 3 of their papers we have counts for
3 papers
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…
math.CO2003★ 3 cited
Sum-free sets in abelian groups
Ben Green, Imre Z. Ruzsa
Let A be a subset of an abelian group G. We say that A is sum-free if there do not exist x,y and z in A satisfying x + y = z. We determine, for any G, the cardinality of the larges…