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Literature cited
A. R. Camina and M. J. Collins, "Finite groups admitting automorphisms with prescribed fixed points," Proc. London Math. Soc.,3, No. 28, 45–66 (1974).
R. W. Carter, Simple Groups of Lie Type, Wiley-Interscience, New York and London (1972).
R. Gilman and D. Gorenstein, "Finite groups with Sylow 2-subgroups of class two I, II," Trans. Am. Math. Soc.,207, 1–101, 103–126 (1975).
G. Glauberman, Factorizations in Local Subgroups of Finite Groups, Conference Board of the Mathematical Sciences, Regional Conference Series in Mathematics, No. 33, American Mathematical Society, Providence, Rhode Island (1977).
D. Gorenstein, Finite Groups, Harper and Row, New York-Evanston-London (1968).
D. R. Hughes and J. G. Thompson, "The Hp-problem and the structure of Hp-groups," Pac. J. Math.,9, No. 4, 1097–1101 (1959).
O. H. Kegel, "Die Nilpotenz der Hp-Gruppen," Math. Z.,75, No. 4, 373–376 (1961).
H. Kurzweil, "Eine Verallgemeinerung von fixpunktfreien Automorphismen endlicher Gruppen," Arch. Math.,22, No. 2, 136–145 (1971).
B. Neumann, "Groups with automorphisms that leave only the neutral element fixed," Arch. Math.,7, No. 1, 1–5 (1956).
J. G. Thompson, "Finite groups with fixed-point-free automorphisms of prime order," Proc. Nat. Acad. Sci. USA,45, 578–581 (1959).
J. H. Walter, "The characterization of finite groups with abelian Sylow 2-subgroups," Ann. Math.,89, No. 3, 405–514 (1969).
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Translated from Algebra i Logika, Vol. 21, No. 4, pp. 375–385, July–August, 1982.
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Barkova, T.M. Finite groups admitting an almost regular automorphism of order 3. Algebra and Logic 21, 249–255 (1982). https://doi.org/10.1007/BF01980633
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DOI: https://doi.org/10.1007/BF01980633