A model-theoretic note on the Freiman–Ruzsa theorem

Amador Martin-Pizarro ^[1] ; Daniel Palacín ^[1] ; Julia Wolf ^[2]
1. [1] Albert-Ludwig-Universität Freiburg, Alemania
2. [2] Centre for Mathematical Sciences, Reino Unido
Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 27, Nº. 4, 2021
Idioma: inglés
DOI: 10.1007/s00029-021-00676-9
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Resumen
- 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.