Approximate subgroups
[Sous-groupes approximatifs]
Massicot, Jean-Cyrille ; Wagner, Frank O.
Journal de l'École polytechnique - Mathématiques, Tome 2 (2015), p. 55-63 / Harvested from Numdam
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Étant donné un sous-groupe approximatif A définissablement moyennable d’un groupe (local) dans une structure du premier ordre, il y a un sous-groupe H type-définissable normalisé par A et contenu dans A 4 tel que tout ensemble définissable contenant H est de mesure positive.

Given a definably amenable approximate subgroup A of a (local) group in some first-order structure, there is a type-definable subgroup H normalized by A and contained in A 4 such that every definable superset of H has positive measure.

Publié le : 2015-01-01
DOI : https://doi.org/10.5802/jep.17
Classification:  11B30,  20N99,  03C98,  20A15
Mots clés: Sous-groupe approximatif, moyennable, sous-groupe type-définissable 
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     author = {Massicot, Jean-Cyrille and Wagner, Frank O.},
     title = {Approximate subgroups},
     journal = {Journal de l'\'Ecole polytechnique - Math\'ematiques},
     volume = {2},
     year = {2015},
     pages = {55-63},
     doi = {10.5802/jep.17},
     language = {en},
     url = {http://dml.mathdoc.fr/item/JEP_2015__2__55_0}
}

Massicot, Jean-Cyrille; Wagner, Frank O. Approximate subgroups. Journal de l'École polytechnique - Mathématiques, Tome 2 (2015) pp. 55-63. doi : 10.5802/jep.17. http://gdmltest.u-ga.fr/item/JEP_2015__2__55_0/

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