Question

Let σ = (a1 a2 ...ak) ∈ Sn be a cycle let τ ∈ Sn.
i) Check that τ σ τ^−1 = (b1 b2 ···bk), where τ (ai) = bi.
ii) Use the above result to compute τ σ τ^−1 where σ and τ are as in part b).