If n > 2 and is a primitive nth root of unity over Q, then [Q(+
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If n > 2 and ζ is a primitive nth root of unity over Q, then [Q(ζ+ ζ-1) : Q] = φ(n)/2.
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We can start by observing that for a primitive nth root of unity we have 1 n1 n1 Now let L Q 1 w...View the full answer
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Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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