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math.NTMay 1, 2006
18
citations (OpenAlex)
authors
  • Tom Sanders
institutions
  • University of Cambridge
arXiv abstractPDF
paper

A note on Freiman's theorem in vector spaces

arXiv:math/0605523 · doi:10.1017/S0963548307008644

Abstract

We show that if A is a subset of F_2^n and |A+A| < K|A| then A is contained in a subspace of size at most 2^{O(K^{3/2}log K)}|A|. This improves on the previous best of 2^{O(K^2)}.

9 pp. Corrected typos. Updated references.

Cited by in corpus (3)

  • On Sums of Generating Sets in (Z_2)^n
  • The Freiman--Ruzsa Theorem over Finite Fields
  • Small asymmetric sumsets in elementary abelian 2-groups
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