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Homework Statement
Prove that there is no such permutation a such that
(a-inverse)*(1,2)*(a) = (3,4)(1,5)
The Attempt at a Solution
Does it have something to do with the order of (1,2)? I know the order is 2, so if we square (a-inverse)*(1,2)*(a), then we get the identity...how else can I think about it?