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Groups and FieldsMediumPermutation Groups

Permutation Groups · Medium problem

Let p=(1 2 3)p = (1\,2\,3), q=(2 3 4)q = (2\,3\,4), and r=(1 3 4)r = (1\,3\,4), all in S4S_4. Applying rr first, then qq, then pp, what is (pqr)(2)(pqr)(2)?