Geodesic
Description of the set of permutations representable as a product of two permutations with fixed number of mobile points. II
Matematičeskie voprosy kriptografii, Tome 4 (2013) no. 1, pp. 87-109 Cet article a éte moissonné depuis la source Math-Net.Ru

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We describe completely the structure of the set of $N$-element permutations representable as the product of two permutations with $q$ and $q+t$ mobile points correspondingly, $2\le t$, $2\le q\frac{N-t}2+1$. 
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     title = {Description of the set of permutations representable as a~product of two permutations with fixed number of mobile {points.~II}},
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A. B. Pichkur. Description of the set of permutations representable as a product of two permutations with fixed number of mobile points. II. Matematičeskie voprosy kriptografii, Tome 4 (2013) no. 1, pp. 87-109. http://geodesic.mathdoc.fr/item/MVK_2013_4_1_a4/

[1] Pichkur A. B., “Opisanie klassa podstanovok, predstavimykh v vide proizvedeniya dvukh podstanovok s fiksirovannym chislom mobilnykh tochek”, Matematicheskie voprosy kriptografii, 3:2 (2012), 79–95