Question: Let 9 be a primitive ninth root. (a) Give a basis of L = Q( 9 ) as a Q-vector space. (b) Show that L/Q

Let 9 be a primitive ninth root.

(a) Give a basis of L = Q(9) as a Q-vector space.

(b) Show that L/Q is Galois and give the Galois group of L/Q.

(c) Determine all subfields M (i.e. Q M L) and give primitive elements for them

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