Sylow’s third theorem

Let G be a finite groupMathworldPlanetmath, and let n be the number of Sylow p-subgroupsMathworldPlanetmathPlanetmath of G. Then n1(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