Determine the Minimal Polynomial Assignment | Assignment Help Services
Let ζ8 ∈ C be a primitive 8-th root of unity.
(a) Determine the minimal polynomial of ζ8 over Q. – I have found that the min poly is x4 +1
need help With the following two parts, with a good explanation please (particularly showing the Q(8)/Q is galois)
(b) Show that Q(ζ8)/Q is Galois and determine its Galois group
(c) Determine all the subfields of Q(ζ8)