Is There a Set Operation?

Each one raised to the power of four is the identity And then we also have to know what happens if you do combinations of them. This is another big open problem in groups. We don't have a song and there's probably not an algorithm, but we can answer it in certain casesThis is called the word problem. The famous one. It's a very famous oneWe can't even tell if a word is the identity But I mean if we could we could solve any of the other word problems too.