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Freimanā€“Ruzsa-type theory for small doubling constant

Freimanā€“Ruzsa-type theory for small doubling constant

Abstract In this paper, we study the linear structure of sets A āŠ‚ $\mathbb{F}_2^n$ with doubling constant Ļƒ( A ) < 2, where Ļƒ( A ):=| A + A |/| A |. In particular, we show that A is contained in a small affine subspace. We also show that A ā€¦