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Groups and FieldsMediumPermutation Groups

Permutation Groups · Medium problem

In S6S_6, let σ=(1 2 3 4 5 6)\sigma=(1\,2\,3\,4\,5\,6) and τ=(1 3)(2 4 6)\tau=(1\,3)(2\,4\,6). There is a unique xx with σx=τ\sigma x=\tau (apply xx first). What is x(1)x(1)?