Sylow p-subgroup

The title of this article has been romanized due to technical restrictions. The correct title should be Sylow $p$-subgroup.

A Sylow $\boldsymbol{p}$-subgroup is a particular type of $p$-subgroup of a finite group. Specifically, if $G$ is a finite group, then a subgroup $P$ is a Sylow $p$-subgroup of $G$ if $P$ is a $p$-group, and $p$ does not divide the index of $G$.

See also

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