If x and y are elements in Sn (n3), prove that x = y

Chapter 6, Problem 47E

(choose chapter or problem)

If x and y are elements in \(S_n (n \ge 3)\), prove that \(\phi_x=\phi_y\) implies x = y. (Here, \(\phi_x\) is the inner automorphism of \(S_n\) induced by x.)

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