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Matematicheskie Zametki, 1969, Volume 5, Issue 1, Pages 77–80 (Mi mzm6810)  

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
English version:
Mathematical Notes, 1969, Volume 5, Issue 1, Pages 49–51
DOI: https://doi.org/10.1007/BF01098716
Bibliographic databases:
UDC: 513.83
Language: Russian
Citation: I. U. Bronshtein, “Distal criterion of transitive transformation groups”, Mat. Zametki, 5:1 (1969), 77–80; Math. Notes, 5:1 (1969), 49–51
Citation in format AMSBIB
\Bibitem{Bro69}
\by I.~U.~Bronshtein
\paper Distal criterion of transitive transformation groups
\jour Mat. Zametki
\yr 1969
\vol 5
\issue 1
\pages 77--80
\mathnet{http://mi.mathnet.ru/mzm6810}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=239580}
\zmath{https://zbmath.org/?q=an:0205.04303|0175.02202}
\transl
\jour Math. Notes
\yr 1969
\vol 5
\issue 1
\pages 49--51
\crossref{https://doi.org/10.1007/BF01098716}
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