# Math Help - simplicity of An

1. ## simplicity of An

Hey everyone please help me, im struggling to show that A6 is simple.

Prove that A6 Simple.

2. ## 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

3. Thanks Gamma