# simplicity of An

• May 14th 2009, 01:35 AM
xolani-flint
simplicity of An

Prove that A6 Simple. (Crying)
• May 14th 2009, 04:31 AM
Gamma
A_n simple for n>4
It turns out you can do better. It is easy to show $A_5$ is simple with the Sylow Theorems; however, it is also true that $A_n$ is simple for $n \geq 5$.

It is kind of involved, but here is a pretty easy to follow proof that I found for you. PlanetMath: simplicity of the alternating groups
• May 15th 2009, 01:23 AM
xolani-flint
Thanks Gamma