A note on semi-special permutations
Glasgow mathematical journal, Tome 2 (1958) no. 4, pp. 164-169

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In a recent paper [1], the theory of non-linear semi-special permutations has been developed. A method for describing such permutations, on a given range [n], is to be found in §§2, 3. This method consists in choosing a proper divisor s of n, determining all the semispecial permutations with principal number s, and then making stake all its possible values. In this way the totality of non-linear semi-special permutations on [n] may be obtained.
Yacoub, K. R. A note on semi-special permutations. Glasgow mathematical journal, Tome 2 (1958) no. 4, pp. 164-169. doi: 10.1017/S2040618500033657
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Yacoub, K. R., On semi-special permutations I, Proc. Glasgow Math. Assoc., 3 (1956), 18–35. Google Scholar | DOI

Yacoub, K. R., On semi-special permutations II. Semi-special permutations on [p α], Duke Math. J., 24 (1957), 455–465. Google Scholar | DOI

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