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

Manabu Ozaki

    Research output: Contribution to journal › Article

    7 Citations (Scopus)

    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

    Fingerprint

    Unit Group
    Ideal Class Group
    Cyclotomic
    Number field
    Sylow Subgroup
    Galois
    Modulo
    Isomorphic
    Valid
    Module

    ASJC Scopus subject areas

    • Algebra and Number Theory

    Cite this

    On the cyclotomic unit group and the ideal class group of a real abelian number field. / Ozaki, Manabu.

    In: Journal of Number Theory, Vol. 64, No. 2, 06.1997, p. 211-222.

    Research output: Contribution to journal › Article

    Ozaki, M 1997, 'On the cyclotomic unit group and the ideal class group of a real abelian number field', Journal of Number Theory, vol. 64, no. 2, pp. 211-222. https://doi.org/10.1006/jnth.1997.2086
    Ozaki M. On the cyclotomic unit group and the ideal class group of a real abelian number field. Journal of Number Theory. 1997 Jun;64(2):211-222. https://doi.org/10.1006/jnth.1997.2086
    Ozaki, Manabu. / On the cyclotomic unit group and the ideal class group of a real abelian number field. In: Journal of Number Theory. 1997 ; Vol. 64, No. 2. pp. 211-222.
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