Geodesic
Algebraic groups with regular automorphism groups
Sbornik. Mathematics, Tome 32 (1977) no. 3, pp. 305-312 
G. A. Noskov. Algebraic groups with regular automorphism groups. Sbornik. Mathematics, Tome 32 (1977) no. 3, pp. 305-312. http://geodesic.mathdoc.fr/item/SM_1977_32_3_a2/
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In this paper the solvability is proved of a linear algebraic group over an algebraically closed field which has a nilpotent regular group of birational automorphisms. Bibliography: 10 titles.

[1] A. Borel, Lineinye algebraicheskie gruppy, izd-vo «Mir», Moskva, 1972 | MR

[2] Yu. I. Merzlyakov, Ratsionalnye gruppy, I (algebraicheskie gruppy matrits), Novosibirsk, 1967 | MR | Zbl

[3] Yu. I. Merzlyakov, “Lineinye gruppy”, Itogi nauki. Algebra. Topologiya. Geometriya. 1970, VINITI, Moskva, 1971, 75–110 | Zbl

[4] L. S. Pontryagin, Nepreryvnye gruppy, izd-vo «Nauka», Moskva, 1973 | MR

[5] Seminar po algebraicheskim gruppam, izd-vo «Mir», Moskva, 1973 | MR

[6] Zh.-P. Serr, Algebraicheskie gruppy i polya klassov, izd-vo «Mir», Moskva, 1968

[7] D. Gorenstein, Finite groups, Harper and Row, 1968 | MR | Zbl

[8] D. Hertzig, “The strukture of Frobenius algebraic groups”, Amer. J. Math., 83:3 (1961), 421–431 | DOI | MR | Zbl

[9] R. Steinberg, Endomorphisms of linear algebraic groups, Mem. Amer. Math. Soc., 80, 1968 | MR | Zbl

[10] D. Winter, “Algebraic group automorphisms having finite fixed point sets”, Proc. Amer. Math. Soc., 18:2 (1967), 371–377 | DOI | MR | Zbl