On the cyclotomic unit group and the ideal class group of a real abelian number field

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    Abstract

    LetKbe a real abelian number field satisfying certain conditions andKnthenth layer of the cyclotomic Zp-extension ofK. We study the relations between thep-Sylow subgroup of the ideal class group and that of the unit group modulo the cyclotomic unit group ofKn. Supposing that Greenberg's conjecture is valid, we shall show that these two groups are isomorphic as Galois modules for sufficiently largen.

    Original languageEnglish
    Pages (from-to)211-222
    Number of pages12
    JournalJournal of Number Theory
    Volume64
    Issue number2
    DOIs
    Publication statusPublished - 1997 Jun

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    ASJC Scopus subject areas

    • Algebra and Number Theory

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