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

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

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• Review status: beta
• Last edited by John Jones on 2019-05-23 23:41:24
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Not referenced anywhere at the moment.

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