Geodesic
On Lie groups, transitive on compact solvmanifolds
Izvestiya. Mathematics , Tome 11 (1977) no. 2, pp. 271-292

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Lie groups which are transitive on compact homogeneous spaces of type $K(\pi,1)$ with solvable $\pi$ are studied (these spaces turn out to be homeomorphic to solvmanifolds-homogeneous spaces of solvable Lie groups). Transitive actions of Lie groups on nilmanifolds (homogeneous spaces of nilpotent Lie groups), in particular on the torus $T^n$, are studied in more detail. Bibliography: 15 titles. 
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     author = {V. V. Gorbatsevich},
     title = {On {Lie} groups, transitive on compact solvmanifolds},
     journal = {Izvestiya. Mathematics },
     pages = {271--292},
     publisher = {mathdoc},
     volume = {11},
     number = {2},
     year = {1977},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1977_11_2_a2/}
}
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V. V. Gorbatsevich. On Lie groups, transitive on compact solvmanifolds. Izvestiya. Mathematics , Tome 11 (1977) no. 2, pp. 271-292. http://geodesic.mathdoc.fr/item/IM2_1977_11_2_a2/