I could use some help with this one:
Let $G$ be a group, $|G|=p^kq$ where $p,q$ are prime and $p^k\leq 2q$.
Prove that at least one of the Sylow subgroups is normal.
I could use some help with this one:
Let $G$ be a group, $|G|=p^kq$ where $p,q$ are prime and $p^k\leq 2q$.
Prove that at least one of the Sylow subgroups is normal.
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