scientific article; zbMATH DE number 1834428

Publication date: 24 November 2002

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class field towers capitulation class field theory Grunwald-Wang theorem Leopoldt's conjecture Abelian extensions reciprocity map Hasse's norm theorem principal ideal theorem logarithmic class group Leopoldt's Spiegelungssatz idéles

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory (11-01) Class field theory; (p)-adic formal groups (11S31) Other abelian and metabelian extensions (11R20)

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