# Sylow’s third theorem

Let $G$ be a finite group, and let $n$ be the number of Sylow $p$-subgroups of $G$. Then $n\equiv 1\pmod{p}$, and any two Sylow $p$-subgroups of $G$ are conjugate to one another.

Title Sylow’s third theorem SylowsThirdTheorem 2013-03-22 14:00:41 2013-03-22 14:00:41 bwebste (988) bwebste (988) 19 bwebste (988) Theorem msc 20D20 SylowTheorems ProofOfSylowTheorems SylowPSubgroup