For (a) show that is fixed for all * which means but because it is Galois.
For (b) since it means where is the Frobenius automorphism, this is enough to prove this result.
*)This is because if is a group with elements then is a permutation.
For (a) show that is fixed for all * which means but because it is Galois.
For (b) since it means where is the Frobenius automorphism, this is enough to prove this result.
*)This is because if is a group with elements then is a permutation.