References
G. Higman, “Groups and rings which have automorphisms without non-trivial fixed elements,” J. London Math. Soc.,32, 321–334 (1956).
V. A. Kreknin, “Solvability of Lie algebras with a regular automorphism of finite period,” Dokl. Akad. Nauk SSSR,150, No. 3, 467–469 (1963).
V. A. Kreknin and A. I. Kostrikin, “Lie algebras with regular automorphisms,” Dokl. Akad. Nauk SSSR,149, No. 2, 249–251 (1963).
J. Alperin, “Automorphisms of solvable groups,” Proc. Amer. Math. Soc.,13, No. 2, 175–180 (1962).
E. I. Khukhro, “Finitep-groups admitting an automorphism of orderp with a small number of fixed points,” Mat. Zametki,38, No. 5, 652–657 (1985).
E. I. Khukhro, “Lie rings and groups admitting an almost regular automorphism of prime order,” Mat. Sb.,181, No. 9, 1207–1219 (1990).
B. Huppert and N. Blackburn, Finite Groups, II, Springer, Berlin (1982).
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Novosibirsk. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 33, No. 5, pp. 206–208, September–October, 1992.
Translated by N. S. Dairbekov
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Makarenko, N.Y. On almost regular automorphisms of prime order. Sib Math J 33, 932–934 (1992). https://doi.org/10.1007/BF00971002
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DOI: https://doi.org/10.1007/BF00971002