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If $p$ is a prime and $G$ is a finite group of order $p^nm$ where $p\nmid m$, then a $p$-Sylow subgroup of $G$ is any subgroup of order $p^n$.

Sylow subgroups exist for every finite group and prime $p$.

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• Review status: reviewed
• Last edited by Andrew Sutherland on 2020-10-26 13:28:34
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