On closed subgroups of the group of homeomorphisms of a manifold
[Sur les sous-groupes du groupe des homéomorphismes d’une variété]
Le Roux, Frédéric
Journal de l'École polytechnique - Mathématiques, Tome 1 (2014), p. 147-159 / Harvested from Numdam
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Soit M une variété triangulable compacte. Nous montrons que, parmi les sous-groupes de Homeo 0 (M) (composante connexe de l’identité du groupe des homéomorphismes de M), le sous-groupe des homéomorphismes préservant le volume est maximal.

Let M be a triangulable compact manifold. We prove that, among closed subgroups of Homeo 0 (M) (the identity component of the group of homeomorphisms of M), the subgroup consisting of volume preserving elements is maximal.

Publié le : 2014-01-01
DOI : https://doi.org/10.5802/jep.7
Classification:  57S05,  57M60,  37E30
Mots clés: Groupes de transformations, homéomorphismes, sous-groupes fermés maximaux 
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     author = {Le Roux, Fr\'ed\'eric},
     title = {On closed subgroups of the group of homeomorphisms of a manifold},
     journal = {Journal de l'\'Ecole polytechnique - Math\'ematiques},
     volume = {1},
     year = {2014},
     pages = {147-159},
     doi = {10.5802/jep.7},
     language = {en},
     url = {http://dml.mathdoc.fr/item/JEP_2014__1__147_0}
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Le Roux, Frédéric. On closed subgroups of the group of homeomorphisms of a manifold. Journal de l'École polytechnique - Mathématiques, Tome 1 (2014) pp. 147-159. doi : 10.5802/jep.7. http://gdmltest.u-ga.fr/item/JEP_2014__1__147_0/

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