Amenable actions of amalgamated free products of free groups over a cyclic subgroup and generic property  [ Actions moyennables de produits amalgamés de groupes libres sur un sous-groupe cyclique et propriétés génériques ]
Annales mathématiques Blaise Pascal, Tome 18 (2011) no. 2, p. 211-229
On montre que les produits amalgamés de groupes libres sur un sous-groupe cyclique admettent des actions moyennables, fidèles et transitives sur un ensemble dénombrable infini. Ce travail généralise le résultat concernant de telles actions pour les produits amalgamés de groupes libres sur deux générateurs.
We show that the amalgamated free products of two free groups over a cyclic subgroup admit amenable, faithful and transitive actions on infinite countable sets. This work generalizes the results on such actions for doubles of free group on two generators.
DOI : https://doi.org/10.5802/ambp.296
Classification:  43A07,  20E06,  57M07
Mots clés: Actions moyennables, produits amalgamés, propriété de Baire
@article{AMBP_2011__18_2_211_0,
     author = {Moon, Soyoung},
     title = {Amenable actions of amalgamated free products of free groups over a cyclic subgroup and generic property},
     journal = {Annales math\'ematiques Blaise Pascal},
     publisher = {Annales math\'ematiques Blaise Pascal},
     volume = {18},
     number = {2},
     year = {2011},
     pages = {211-229},
     doi = {10.5802/ambp.296},
     mrnumber = {2896486},
     zbl = {1246.43002},
     language = {en},
     url = {http://http://www.numdam.org/item/AMBP_2011__18_2_211_0}
}
Moon, Soyoung. Amenable actions of amalgamated free products of free groups over a cyclic subgroup and generic property. Annales mathématiques Blaise Pascal, Tome 18 (2011) no. 2, pp. 211-229. doi : 10.5802/ambp.296. http://www.numdam.org/item/AMBP_2011__18_2_211_0/

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