Abstract
The concept of a likeable function over a finite field of orderq=p′ was introduced by W. Kantor [3] for the purpose of constructing certain interesting translation planes of orderq 2. It is shown that whenq is odd then, except for the class shown by Kantor to occur in fields of characteristic 5, any other non-zero likeable function can exist only if\((\raise.5ex\hbox{$\scriptstyle 1$}\kern-.1em/ \kern-.15em\lower.25ex\hbox{$\scriptstyle 2$} \sqrt {p,} 2)\).
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Cohen, S.D. Likeable functions in finite fields. Israel J. Math. 46, 123–126 (1983). https://doi.org/10.1007/BF02760626
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DOI: https://doi.org/10.1007/BF02760626