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OverviewThis book deals with the characterization of extensions of number fields in terms of the decomposition of prime ideals, and with the group-theoretic questions arising from this number-theoretic problem. One special aspect of this question is the equality of Dedekind zeta functions of different number fields. This is an established problem which was solved for abelian extensions by class field theory, but which was only studied in detail in its general form from around 1970. The basis for the new results was a fruitful exchange between number theory and group theory. Some of the outstanidng results are based on the complete classification of all finite simple groups. This book reports on the great progress achieved in this period. It allows access to the new developments in this part of algebraic number theory and contains a unique blend of number theory and group theory. The results appear for the first time in a monograph and they partially extend the published literature. Full Product DetailsAuthor: Norbert Klingen (Professor of Mathematics, Professor of Mathematics, University of Cologne, Germany)Publisher: Oxford University Press Imprint: Oxford University Press Edition: large type edition Dimensions: Width: 16.10cm , Height: 1.90cm , Length: 24.20cm Weight: 0.575kg ISBN: 9780198535980ISBN 10: 0198535988 Pages: 286 Publication Date: 30 April 1998 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: To order  Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of ContentsIntroduction 1: Prime decomposition 2: Kronecker Equivalence 3: Arithmetical equivalence 4: Arithmetical homomorphisms 5: Kroneckerian fields 6: VariationsReviews'...gives a very useful discussion of several 'generalisations and refinements of the theory developed in the preceding chapters, as well as [...] results from related areas which use the smae methods or lead to similar group theoretic problems' It may be regarded as a guide to the literature, and provides numerous sugggestions for further work' Bulletin London Mathematical Society Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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