When a permutation is a square permutation?
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7I have been thinking about square roots of permutations. I realized that the square of cycle of odd length is a cycle with the same length and the square of cycle with even length is multiplication of two cycles of half length.
Can the number of roots of some permutation be found in explicit way? What other facts about these roots are known?
Can the number of roots of some permutation be found in explicit way? What other facts about these roots are known?
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