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Determine the Minimal Polynomial Assignment | Assignment Help Services

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September 13th, 2019

Let ζ8 ∈ C be a primitive 8-th root of unity.

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(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)

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(b) Show that Q(ζ8)/Q is Galois and determine its Galois group

(c) Determine all the subfields of Q(ζ8)

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