Submission date: 5 December 2019

Abstract:

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.