Geodesic
A Note on the Classes of Non-Linear Semi-Special Permutations
Glasgow mathematical journal, Tome 4 (1958) no. 1, pp. 3-6

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In a recent paper [1], the author divided the semi-special permutations on [n] that are not linear into two classes. The first class consists of the semi-special permutations which, for all possible values of s, have s as a principal number and which induce modulo s the identity permutation. The second class consists of all the semi-special permutations, with principal number s, which induce modulo s linear permutations other than the identity, where again s takes all its possible values. 
Yacoub, K. R. A Note on the Classes of Non-Linear Semi-Special Permutations. Glasgow mathematical journal, Tome 4 (1958) no. 1, pp. 3-6. doi: 10.1017/S2040618500033761
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[1] 1.Yacoub, K. R., A note on semi-special permutations, Proc. Glasgow Math. Assoc., 3 (1958), 164–169. Google Scholar | DOI

[2] 2.Yacoub, K. R., On semi-special permutations I, Proc. Glasgow Math. Assoc., 3 (1956), 18–35. Google Scholar

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

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