Let $\,n\in\mathbb{N}\,$ and $p$ a prime. Let $P$ be a Sylow $p$-subgroup of $\,S_n\,$. If $p$ does not divide $n$, then $\,P\leq S_{n-1}\,$. Why?
2026-04-05 21:16:06.1775423766
An elementary fact about Sylow subgroup of Sym(n)
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