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Preprint Number 1701

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1701. Amador Martin-Pizarro, Daniel Palacin and Julia Wolf
A model-theoretic note on the Freiman-Ruzsa theorem

Submission date: 5 December 2019


A non-quantitative version of the Freiman-Ruzsa theorem is obtained for finite stable sets with small tripling in arbitrary groups, as well as for (finite) weakly normal subsets in abelian groups.

Mathematics Subject Classification: 03C13 (Primary), 03C45, 11B30 (Secondary)

Keywords and phrases:

Full text arXiv 1912.02883: pdf, ps.

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