The Freiman-Ruzsa theorem over finite fields

DOI10.1016/j.jcta.2014.03.011zbMath1302.11007arXiv1212.5738OpenAlexW2060724969MaRDI QIDQ2451906

Shachar Lovett, Chaim Even-Zohar

Publication date: 26 May 2014

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.5738

zbMATH Keywords

compressionAbelian groupsumsettorsion groupdoubling

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Other combinatorial number theory (11B75) Finite abelian groups (20K01) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Additive bases, including sumsets (11B13) Torsion groups, primary groups and generalized primary groups (20K10) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (3)

Finite field models in arithmetic combinatorics -- ten years on ⋮ A model-theoretic note on the Freiman-Ruzsa theorem ⋮ A statistical approach to covering lemmas

Cites Work

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• On the Freiman theorem in finite fields
• On Sums of Generating Sets in ℤ₂ⁿ
• SETS WITH SMALL SUMSET AND RECTIFICATION
• A Note on Freĭman's Theorem in Vector Spaces
• Freiman's Theorem in Finite Fields via Extremal Set Theory

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