> it is not really an algebra thing. It's a bijection between finite sets thing. Mathematician here. Even just a bijection between finite sets is in fact alge

> it is not really an algebra thing. It's a bijection between finite sets thing. Mathematician here. Even just a bijection between finite sets is in fact algebra. But the space of all Rubik's Cube positions is in fact a finite non-commutative group - right smack-dab in the middle of the field of algebra.