A model-theoretic note on the Freiman-Ruzsa theorem

DOI10.1007/s00029-021-00676-9OpenAlexW3176733169MaRDI QIDQ2037135

Amador Martin-Pizarro, Julia Wolf, Daniel Palacín

Publication date: 30 June 2021

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.02883

zbMATH Keywords

local stabilitymodel theoryadditive combinatoricsFreiman-Ruzsa

Mathematics Subject Classification ID

Model theory of finite structures (03C13) Classification theory, stability, and related concepts in model theory (03C45) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (3)

Approximate subgroups with bounded VC-dimension ⋮ Stability in a group ⋮ Quantitative structure of stable sets in arbitrary finite groups

Cites Work

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• Model-theoretic consequences of a theorem of Campana and Fujiki
• Stable arithmetic regularity in the finite field model
• On finite sets of small tripling or small alternation in arbitrary groups
• Quantitative structure of stable sets in arbitrary finite groups
• On compactifications and product‐free sets
• Quantitative structure of stable sets in finite abelian groups
• The coset and stability rings
• A group version of stable regularity
• Freiman's theorem in an arbitrary abelian group

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