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Groups and FieldsSuperchallengePermutation Groups

Permutation Groups · Superchallenge problem

How many permutations σ∈S9\sigma \in S_9 satisfy σ2=(1 2 3 4 5 6 7 8 9)\sigma^2 = (1\,2\,3\,4\,5\,6\,7\,8\,9)?