Geodesic
Description of the set of permutations represented as a product of two permutations with fixed number of mobile points
Matematičeskie voprosy kriptografii, Tome 3 (2012) no. 2, pp. 79-95 Cet article a éte moissonné depuis la source Math-Net.Ru

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We describe completely the structure of the set of permutations representable by the product of two permutations with $q$ mobile and $N-q$ fixed points, $4\le q\le\frac N2$. 
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A. B. Pichkur. Description of the set of permutations represented as a product of two permutations with fixed number of mobile points. Matematičeskie voprosy kriptografii, Tome 3 (2012) no. 2, pp. 79-95. http://geodesic.mathdoc.fr/item/MVK_2012_3_2_a3/

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