ps7 - K = Q ( ). 1. If n = p r with r 1 is a prime power,...

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Math 5c, Spring 10 Problem Set 6 Due May 18, 4 pm All numbered problems are from Dummit and Foote, Third Ed. Key Concepts: Krummer extensions, Norms, traces, representations § 14.2 17cd Let ζ be a primitive n th root of unity. Let
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Unformatted text preview: K = Q ( ). 1. If n = p r with r 1 is a prime power, show that N K/ Q (1- ) = p . 2. If n is composite (product of 2 or more dierent primes), show that N K/ Q (1- ) = 1. 14.7 7, 13 1...
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