Geodesic
Distal criterion of transitive transformation groups
Matematičeskie zametki, Tome 5 (1969) no. 1, pp. 77-80 
I. U. Bronshtein. Distal criterion of transitive transformation groups. Matematičeskie zametki, Tome 5 (1969) no. 1, pp. 77-80. http://geodesic.mathdoc.fr/item/MZM_1969_5_1_a9/
@article{MZM_1969_5_1_a9,
     author = {I. U. Bronshtein},
     title = {Distal criterion of transitive transformation groups},
     journal = {Matemati\v{c}eskie zametki},
     pages = {77--80},
     year = {1969},
     volume = {5},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1969_5_1_a9/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Let $G$ be a topological group, $H$ a closed subgroup of the group $G$, and $G/H$ a homogeneous space of cosets $Hg(g\in G)$. The group $G$ acts naturally on $G/H$, defining a transitive transformation group $(G/H,G,\pi)$, $(Ha,g)\pi=Hag$ ($a\in G$, $g\in G$). Necessary and sufficient conditions for the distalness of the transformation group $(G/H,G,\pi)$ are indicated.