Freiman's Theorem in an arbitrary abelian group

Details Freiman's Theorem in an arbitrary abelian group Freiman's Theorem in an arbitrary abelian group

2005-05-10

arxiv.org/abs/math/0505198v2

Mathematics

Number Theory

15 pages, to appear in London Math. Society journals. Exceptionally minor cosmetic changes from the previous version

Scientific paper

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 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.

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