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Let a 1 and a5 = 1. Then prove that Q(a) is a normal extension of Q and that G(Q(a)/Q) is isomorphic to Z,

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Let a 1 and a5 = 1. Then prove that Q(a) is a normal extension of Q and that G(Q(a)/Q) is isomorphic to Z, the group of integers modulo 4.

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