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**[SOLVED] Center of Symmetric Group**

**Homework Statement**

Show that for n ≥ 3, Z(S

_{n}) = {e} where e is the identity element/permutation.

**The attempt at a solution**

It is obvious that e is in Z(S

_{n}). If there is another element a ≠ e in Z(S

_{n}), then... There must be some sort of contradiction and it has to do with the fact that n ≥ 3 but I can't figure it out. Any tips?