Geodesic
On Semi-Special Permutations I
Glasgow mathematical journal, Tome 2 (1956) no. 1, pp. 18-35

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In an earlier paper [1] on groups which are the products of two finite cyclic groups with trivial intersection, certain permutations, called “semi-special”, played a certain role. The permutation π of the numbers 1, 2,..., n is semi-special if† πn=n, and if, for every y ε [n],is again a permutation, namely a power (depending on y) of π. 
Yacoub, K. B. On Semi-Special Permutations I. Glasgow mathematical journal, Tome 2 (1956) no. 1, pp. 18-35. doi: 10.1017/S2040618500033396
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[1] 1.Yacoub, K. R., General products of two finite cyclic groups, Proc. Glasgow Math. Assoc., 2 (1955), 116–123, Google Scholar | DOI

[2] 2.Douglas, J., On finite groups with two independent generators. Exponential substitutions, Proc. Nat. Acad. Sci., U.S.A., 37 (1951), 749–760. Google Scholar

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