Strengthening Exercise 46, show that if n 3, then the only element of of S

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Strengthening Exercise 46, show that if n ≥ 3, then the only element of σ of Sn satisfying σ γ  = γ a for all y ∈ Sn is σ = ι, the identity permutation.

Data from in exercise 46

Show that Sn is a nonabelian group for n ≥ 3.

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