Let be an algebraic extension of a field , and let be an automorphism of leaving fixed. Let . Show that induces a permutation of the set of zeros of that are in .
Let be an algebraic extension of a field , and let be an automorphism of leaving fixed. Let . Show that induces a permutation of the set of zeros of that are in .
Let . Then . So . So is a zero of .
correct. you should probably explain it a little bit more if it's a part of your homework.