Definition:Sylow p-Subgroup

Definition
Let $p$ be prime.

Let $G$ be a finite group whose order is denoted by $\left\vert{G}\right\vert$.

Also known as
Sylow $p$-subgroups are sometimes called $p$-Sylow subgroups, or just Sylow subgroups.

Also see

 * Equivalence of Definitions of Sylow $p$-Subgroup