Prove that a symmetric group $S_n$ has a cyclic subgroup of order $n$.
I can see it for a symmetric group $S_3$ and $S_4$ but how can I generalize it for any number $n.$
2026-03-27 16:09:16.1774627756
Prove that a symmetric group $S_n$ has a cyclic subgroup of order $n$.
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Hint: The element $$(1,2,3,\dots, n)$$ has order $n$.