Sylow’s third theorem

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

Title	Sylow’s third theorem
Canonical name	SylowsThirdTheorem
Date of creation	2013-03-22 14:00:41
Last modified on	2013-03-22 14:00:41
Owner	bwebste (988)
Last modified by	bwebste (988)
Numerical id	19
Author	bwebste (988)
Entry type	Theorem
Classification	msc 20D20
Related topic	SylowTheorems
Related topic	ProofOfSylowTheorems
Related topic	SylowPSubgroup