A model-theoretic note on the Freiman–Ruzsa theorem
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.
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/98560 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/98560 |
| Access Level: | acceso abierto |
| Palabra clave: | Model theory Freiman–Ruzsa Local stability Additive combinatorics Lógica simbólica y matemática (Matemáticas) 1102.10 Teoría de Modelos |
| Sumario: | 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. |
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