Greenberg's conjecture and capitulation
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Andrea Bandini
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Article
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2007
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Elsevier Science
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English
β 167 KB
Let p be an odd prime. Let k be an algebraic number field and let k be the compositum of all the Z p -extensions of k, so that Gal( k/k) Z d p for some finite d. We shall consider fields k with Gal(k/Q) (Z/2Z) n . Building on known results for quadratic fields, we shall show that the Galois group of