25 Mar
2016
25 Mar
'16
10:55 p.m.
It seems this question by D.Asimov was studied already by L.Redei: Acta Sci Math Szeged 11 (1946) 85-92 R.Nobauer: Acta Sci Math Szeged 50 (1986) 287-298 W. Nobauer: Period. Math. Hungar. 17 (1986) 37-44. (all in German) perhaps DA will be so kind as to report what they did? This one in English apparently has something to do with it too: Leonard Carlitz: A note on permutation functions over a finite field, Duke Math. J. 29 (1962) 325-332.