Abstract
Let G be a topological group, H a closed subgroup of the group G, and G/H a homogeneous space of cosets Hg(g∈ G). The group G acts naturally on G/H, defining a transitive transformation group (G/H, G,gp), (Ha, g)π=Hag(a ∈ G, g∈ G). Necessary and sufficient conditions for the distalness of the transformation group (G/H, G,π) are indicated.
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Translated from Matematicheskie Zametki, Vol. 5, No. 1, pp. 77–80, January, 1969.
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Bronshtein, I.U. Distal criterion of transitive transformation groups. Mathematical Notes of the Academy of Sciences of the USSR 5, 49–51 (1969). https://doi.org/10.1007/BF01098716
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DOI: https://doi.org/10.1007/BF01098716