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Questions related to permutations, bijections from a finite (or sometimes infinite) set to itself.

7 votes
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Smallest set of couples in [n] stable by permutations

What I tried to do was, for a given set, express the number of permutations covered by all the couples, but then I need to pick the couples so that I will minimize the intersections between the $(n-2)! … $ permutations each time. Has this problem been encountered before, or would you have any idea on how I could find the optimal set ? …
Alice J.'s user avatar
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