I have looked at many proofs that show that there exists a normal subgroup of size $p^{k-1}$, but no proofs that all subgroups of size $p^{k-1}$ are normal.
2026-03-28 04:53:09.1774673589
In a group $G$, of order $p^k$ has a subgroup of order $p^{k-1}$ prove this subgroup is normal.
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