Conclusion
Let G be a connected, simply-connected, nilpotent, Lie group, D be a discrete isometric [7] subgroup of the group G. There exists a one-parameter subgroup {gt} (−∞<t<+∞) of the group G, such that G/D is a distal minimal set under the operation on its one-parameter group {gt}:
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Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 7, No. 4, pp. 740–750, July–August, 1966.
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Bronshtein, I.U. Concerning one class of distal minimal sets. Sib Math J 7, 591–599 (1966). https://doi.org/10.1007/BF00973258
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DOI: https://doi.org/10.1007/BF00973258