Mathematical Notes

, Volume 84, Issue 3–4, pp 435–438 | Cite as

On the Freiman theorem in finite fields

  • S. V. Konyagin
Short Communications

Key words

Freiman theorem set addition finite field Abelian group Hamming metric arithmetic progression doubling constant 


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    I. Ruzsa, in Structure Theory of Set Addition, Astérisque (Soc. Math. France, Paris, 1999), Vol. 258, pp. 323–326.Google Scholar
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    J. M. Deshoulliers, F. Hennecart and A. Plagne, Combinatorica 24(1), 53 (2004).CrossRefMathSciNetGoogle Scholar
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    B. J. Green and I. Z. Ruzsa, Bull. London Math. Soc. 38(1), 43 (2006).zbMATHCrossRefMathSciNetGoogle Scholar
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    T. Sanders, A Note of Freiman’s Theorem in Vector Spaces, arXiv: math/0605523.Google Scholar
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    B. Green and T. Tao, Freiman’s Theorem in Finite Fields via Extremal Set Theory, arXiv: math/0703668.Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2008

Authors and Affiliations

  1. 1.Moscow State UniversityMoscowRussia

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