Geodesic
Discrete subgroups of solvable Lie groups of type $(E)$
Sbornik. Mathematics, Tome 14 (1971) no. 2, pp. 233-251 Cet article a éte moissonné depuis la source Math-Net.Ru

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Let $G_1$ and $G_2$ be simply connected Lie groups, and let $\Gamma$ be a lattice in $G_1$. In the present article we investigate the question whether the homomorphism $\mu\colon\Gamma\to G_2$ can be lifted to a homomorphism $\mu\colon G_1\to G_2$ for the case that $G_1$ or $G_2$ is a Lie group of type $(E)$. Incidentally we prove some of the properties of lattices in such groups. Bibliography: 13 titles. 
@article{SM_1971_14_2_a4,
     author = {V. V. Gorbatsevich},
     title = {Discrete subgroups of solvable {Lie} groups of type~$(E)$},
     journal = {Sbornik. Mathematics},
     pages = {233--251},
     year = {1971},
     volume = {14},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1971_14_2_a4/}
}
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V. V. Gorbatsevich. Discrete subgroups of solvable Lie groups of type $(E)$. Sbornik. Mathematics, Tome 14 (1971) no. 2, pp. 233-251. http://geodesic.mathdoc.fr/item/SM_1971_14_2_a4/

[1] L. Auslender, L. Grin, F. Khan, Potoki na odnorodnykh prostranstvakh, Mir, Moskva, 1966 | MR

[2] K. Shevalle, Teoriya grupp Li, t. I, IL, Moskva, 1948

[3] I. Dixmier, “L'application exponentelle dans les groups de Lie resolubles”, Bull. Soc. Math. France, 83 (1957), 113–121 | MR

[4] H. Garland, “On the cohomology of lattices in colvable Lie groups”, Ann. Math., 84:1 (1966), 175–196 | DOI | MR | Zbl

[5] H. Dzhekobson, Algebry Li, Mir, Moskva, 1964 | MR

[6] A. G. Kurosh, Teoriya grupp, Nauka, Moskva, 1967 | MR | Zbl

[7] F. Kamber, “On the characteristic homomorphism of a discrete uniform subgroup fo a nilpotent Lie group”, Trans. Amer. Math. Soc., 14:4 (1968), 690–694 | MR

[8] A. I. Maltsev, “O teorii grupp Li v tselom”, Matem. sb., 16(58) (1945), 163–190 | Zbl

[9] A. I. Maltsev, “Ob odnom klasse odnorodnykh prostranstv”, Izv. AN SSSR, seriya matem., 13 (1949), 9–32 | Zbl

[10] G. D. Mostow, “Factor spaces of solvable groups”, Ann. Math., 60:1 (1954), 1–27 | DOI | MR | Zbl

[11] A. L. Onischik, “O vpolne integriruemykh uravneniyakh na odnorodnykh prostranstvakh”, Matem. zametki, 9:4 (1971), 365–373 | MR | Zbl

[12] M. Saito, “Sur certains groupes de Lie resolubles. I”, Scient. papers of the Coll. of Gen. Ed. University of Tokio. I, 7 (1951), 11 ; “II”, 157–168 | MR | Zbl

[13] A. Weil, “On discrete subgroups of Lie groups. I”, Ann. Math., 72:2 (1960), 369–384 ; “II”, Ann. Math., 75:3 (1962), 378–602 | DOI | MR | DOI | MR