A linear bound on the dimension in Green-Ruzsa's theorem

DOI10.1016/j.jnt.2012.09.012zbMath1304.11122OpenAlexW1963988947MaRDI QIDQ1938565

Tomasz Schoen, Karol Cwalina

Publication date: 21 February 2013

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2012.09.012

zbMATH Keywords

sumsetadditive combinatoricsFreiman's theoremGreen-Ruzsa theorem

Mathematics Subject Classification ID

Finite abelian groups (20K01) Inverse problems of additive number theory, including sumsets (11P70)

Related Items

On Roth's theorem on progressions ⋮ Near optimal bounds in Freiman's theorem

Cites Work

• Unnamed Item
• Unnamed Item
• Near optimal bounds in Freiman's theorem
• Appendix to `Roth's theorem on progressions revisited' by J. Bourgain
• Generalized arithmetical progressions and sumsets
• A polynomial bound in Freiman's theorem.
• On the Bogolyubov-Ruzsa lemma
• Freiman's theorem in an arbitrary abelian group