References
D.Gorenstein, Finite Groups. New York 1968.
R. Gow, Groups whose characters are rationally-valued. J. Algebra40, 280–299 (1976).
M. Hayashi, On a generalization of F. M. Markel's Theorem. Hokkaido Math. J.4, 278–280 (1975).
M. Herzog, On centralizers of involutions. Proc. Amer. Math. Soc.22, 170–174 (1969).
D.Kletzing, Structure and Representations of f-groups. LNM1084, Berlin-Heidelberg-New York-Tokyo 1984.
F. M. Markel, Groups with Many Conjugate Elements. J. Algebra26, 69–74 (1973).
M. Suzuki, On finite groups containing an element of order four which commutes only with its powers. Illinois J. Math.3, 255–271 (1959).
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Ward, M.B. Finite groups in which no two distinct conjugacy classes have the same order. Arch. Math 54, 111–116 (1990). https://doi.org/10.1007/BF01198104
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DOI: https://doi.org/10.1007/BF01198104