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| View Original: | ClassExtensionAndArtinTransfer.png (735x779) | |||
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| Keywords: ClassExtensionAndArtinTransfer.png en This is the famous diagram whose commutativity was proved by Emil Artin It reduces the number theoretic problem of the principalization of ideal classes of a base field K in an extension field L to the purely group theoretic task to determine the kernel of the transfer homomorphism T from the Galois group G Gal K'/K to the Galois group H Gal L'/L where K' resp L' denote maximal abelian extensions of K resp L The horizontal arrows denote the reciprocity isomorphisms between class groups and Galois groups mapping the class of a prime ideal p to the Frobenius automophism of p The map j is the class extension homomorphism from K to L en wikipedia 2014-06-11 DanielConstantinMayer talk Uploads DanielConstantinMayer wikipedia en Cc-zero Original upload log en wikipedia ClassExtensionAndArtinTransfer png wikitable of the Artin maps and renamed from Fig 1 to Fig 4 - 2014-06-11 15 19 622×782× 36915 bytes DanielConstantinMayer User DanielConstantinMayer added png file ClassExtensionsAndArtinTransfer Uncategorized 2016 May 5 | ||||
