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Suppose that is a primitive 5-th root of unity in C. (a) Determine the minimal polynomial of over Q. (b) Show that Q() is a
Suppose that is a primitive 5-th root of unity in C.
(a) Determine the minimal polynomial of over Q.
(b) Show that Q() is a normal extension.
(c) Describe 4 distinct automorphisms of Q().
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