If $S_n$ is the symmetric group on $n$ letters and $p$ and $q$ are prime numbers, I know the smallest $n$ such that $S_n$ has an element of prime $p$ is $p$. What about an element of $p^2$? $pq$?
2026-04-02 03:19:29.1775099969
Symmetric group with elements of prime order
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