Burnside normal complement theorem

Let G be a finite groupMathworldPlanetmath, and S a Sylow subgroup such that CG(S)=NG(S). Then S has a normal complement. That is, there exists a normal subgroupMathworldPlanetmath NG such that SN={1} and SN=G.

Title Burnside normal complement theorem
Canonical name BurnsideNormalComplementTheorem
Date of creation 2013-03-22 13:16:22
Last modified on 2013-03-22 13:16:22
Owner bwebste (988)
Last modified by bwebste (988)
Numerical id 5
Author bwebste (988)
Entry type Theorem
Classification msc 20D20