Given a definably amenable approximate subgroup of a (local) group in some first-order structure, there is a type-definable subgroup normalized by and contained in such that every definable superset of has positive measure.
Étant donné un sous-groupe approximatif définissablement moyennable d’un groupe (local) dans une structure du premier ordre, il y a un sous-groupe type-définissable normalisé par et contenu dans tel que tout ensemble définissable contenant est de mesure positive.
Accepted:
DOI: 10.5802/jep.17
Keywords: Approximate subgroup, definability, definable amenability
Mot clés : Sous-groupe approximatif, moyennable, sous-groupe type-définissable
Jean-Cyrille Massicot 1; Frank O. Wagner 2
@article{JEP_2015__2__55_0, author = {Jean-Cyrille Massicot and Frank O. Wagner}, title = {Approximate subgroups}, journal = {Journal de l{\textquoteright}\'Ecole polytechnique {\textemdash} Math\'ematiques}, pages = {55--63}, publisher = {\'Ecole polytechnique}, volume = {2}, year = {2015}, doi = {10.5802/jep.17}, mrnumber = {3345797}, zbl = {1379.03008}, language = {en}, url = {https://jep.centre-mersenne.org/articles/10.5802/jep.17/} }
TY - JOUR AU - Jean-Cyrille Massicot AU - Frank O. Wagner TI - Approximate subgroups JO - Journal de l’École polytechnique — Mathématiques PY - 2015 SP - 55 EP - 63 VL - 2 PB - École polytechnique UR - https://jep.centre-mersenne.org/articles/10.5802/jep.17/ DO - 10.5802/jep.17 LA - en ID - JEP_2015__2__55_0 ER -
Jean-Cyrille Massicot; Frank O. Wagner. Approximate subgroups. Journal de l’École polytechnique — Mathématiques, Volume 2 (2015), pp. 55-63. doi : 10.5802/jep.17. https://jep.centre-mersenne.org/articles/10.5802/jep.17/
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