How Does Group Theory Apply to Solving a Rubik's Cube?

[jza]

Does anyone know what this guy is on about?

I understand some of the basics of group theory and I know there's a connection between Galois theory and the solving of a Rubik's cube, but I'm not sure what law he is even trying to disprove here. I'm assuming something with regards to symmetry or successive permutations.

 

[Barioth]

I tried it, solved the cube. He twisted a piece while doing his "Algo".

Nothing broken I guess :)