Geodesic
On the action of unipotent groups in a lattice space
Sbornik. Mathematics, Tome 15 (1971) no. 4, pp. 549-554 Cet article a éte moissonné depuis la source Math-Net.Ru

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We prove that the trajectory of a lattice of complete measure under the action of a one-parameter group of unipotent linear transformations does not tend to infinity in the lattice space. Bibliography: 3 titles. 
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G. A. Margulis. On the action of unipotent groups in a lattice space. Sbornik. Mathematics, Tome 15 (1971) no. 4, pp. 549-554. http://geodesic.mathdoc.fr/item/SM_1971_15_4_a3/

[1] I. I. Pyatetskii-Shapiro, “Diskretnye podgruppy poluprostykh grupp”, Trudy Mosk. matem. ob-va, 18 (1968), 3–18

[2] G. A. Margulis, “K probleme arifmetichnosti diskretnykh grupp”, DAN SSSR, 187:3 (1969), 518–520 | MR | Zbl

[3] Dzh. Kassels, Vvedenie v geometriyu chisel, Mir, Moskva, 1965 | MR