I got lost here -- I feel like I sort of know what "under permutation" means, but can't picture what it means in the context of solutions to polynomials. What exactly is being permuted?
This statement is just wrong. I will fix it. (The correct statement is that there's a group acting on the solutions called the Galois group; it's the solutions that are being permuted.)
Shouldn't this be a child of Abstract Algebra?
Would be cool to have an image of an example graph here.
I got lost here -- I feel like I sort of know what "under permutation" means, but can't picture what it means in the context of solutions to polynomials. What exactly is being permuted?
This statement is just wrong. I will fix it. (The correct statement is that there's a group acting on the solutions called the Galois group; it's the solutions that are being permuted.)