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 Mat. Sb. (N.S.), 1971, Volume 85(127), Number 2(6), Pages 238–255 (Mi msb3208)

Discrete subgroups of solvable Lie groups of type $(E)$

V. V. Gorbatsevich

Abstract: 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.

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English version:
Mathematics of the USSR-Sbornik, 1971, 14:2, 233–251

Bibliographic databases:

UDC: 519.46
MSC: 22E40

Citation: V. V. Gorbatsevich, “Discrete subgroups of solvable Lie groups of type $(E)$”, Mat. Sb. (N.S.), 85(127):2(6) (1971), 238–255; Math. USSR-Sb., 14:2 (1971), 233–251

Citation in format AMSBIB
\Bibitem{Gor71} \by V.~V.~Gorbatsevich \paper Discrete subgroups of solvable Lie groups of type~$(E)$ \jour Mat. Sb. (N.S.) \yr 1971 \vol 85(127) \issue 2(6) \pages 238--255 \mathnet{http://mi.mathnet.ru/msb3208} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=289711} \zmath{https://zbmath.org/?q=an:0229.22019} \transl \jour Math. USSR-Sb. \yr 1971 \vol 14 \issue 2 \pages 233--251 \crossref{https://doi.org/10.1070/SM1971v014n02ABEH002615} 

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Citing articles on Google Scholar: Russian citations, English citations
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This publication is cited in the following articles:
1. V. V. Gorbatsevich, “Lattices in solvable Lie groups and deformations of homogeneous spaces”, Math. USSR-Sb., 20:2 (1973), 249–266
2. D. N. Akhiezer, “Compact complex homogeneous spaces with solvable fundamental group”, Math. USSR-Izv., 8:1 (1974), 61–83
3. V. V. Gorbatsevich, “Generalized Lyapunov theorem on Mal'tsev manifolds”, Math. USSR-Sb., 23:2 (1974), 155–168
4. Karel Dekimpe, Wim Malfait, “Almost-crystallographic groups with many outer automorphisms”, Communications in Algebra, 23:8 (1995), 3073
5. Karel Dekimpe, Pieter Penninckx, “The finiteness of the Reidemeister number of morphisms between almost-crystallographic groups”, J. Fixed Point Theory Appl, 2011
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