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Distal criterion of transitive transformation groups
I. U. Bronshtein Mathematics Institute, Computer Center, Academy of Sciences of the Moldavian SSR
Abstract:
Let $G$ be a topological group, $H$ a closed subgroup of the group $G$, and $G/H$ a homogeneous space of cosets $Hg(g\in G)$. 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.
Received: 24.04.1967
Citation:
I. U. Bronshtein, “Distal criterion of transitive transformation groups”, Mat. Zametki, 5:1 (1969), 77–80; Math. Notes, 5:1 (1969), 49–51
Linking options:
https://www.mathnet.ru/eng/mzm6810 https://www.mathnet.ru/eng/mzm/v5/i1/p77
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Abstract page: | 187 | Full-text PDF : | 80 | First page: | 1 |
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