Geodesic
On a problem of Mal'tsev
Sbornik. Mathematics, Tome 8 (1969) no. 4, pp. 599-602 Cet article a éte moissonné depuis la source Math-Net.Ru

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The problem of A. I. Mal'tsev on the structure of linear groups of finite rank is solved: a linear group over a field is a group of finite rank if and only if it is a finite extension of a solvable group of finite rank. Bibliography: 8 titles. 
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V. P. Platonov. On a problem of Mal'tsev. Sbornik. Mathematics, Tome 8 (1969) no. 4, pp. 599-602. http://geodesic.mathdoc.fr/item/SM_1969_8_4_a4/

[1] A. I. Maltsev, “O gruppakh konechnogo ranga”, Matem. sb., 22(64) (1948), 350–352

[2] V. P. Platonov, “Podgruppa Frattini lineinykh grupp i finitnaya approksimiruemost”, DAN SSSR, 171:4 (1966), 798–801 | MR | Zbl

[3] M. I. Kargapolov, “O periodicheskikh gruppakh matrits”, Sib. matem. zh., 3:6 (1962), 834–838 | MR | Zbl

[4] R. Brauer, W. Feit, “An analogue of Jordan's theorem in characteristic $n$”, Ann. Math., 84:1 (1966), 119–131 | DOI | MR | Zbl

[5] A. G. Kurosh, Teoriya grupp, Nauka, M., 1967 | MR | Zbl

[6] W. Feit, J. Thompson, “Solvability of groups of odd orders”, Pacific J. Math., 13 (1963), 775–1029 | MR | Zbl

[7] V. P. Platonov, “Neskolko zamechanii o lineinykh gruppakh”, Matem. zametki, 4:6 (1968), 635–638 | MR | Zbl

[8] V. P. Platonov, “Lineinye gruppy s tozhdestvennymi sootnosheniyami”, DAN BSSR, 11:7 (1967), 581–583 | MR