The class group of Zp-extensions over totally real number fields

Manabu Ozaki

    Research output: Contribution to journal › Article

    11 Citations (Scopus)

    Abstract

    Let p be an odd prime. We shall give a criterion for p-divisibility of the class number of the n-th layer of a Zp-extension over a certain totally real number field by means of the value of the p-adic zeta function. We shall also discuss the capitulation in such a Zp-extension and a sufficient condition for the Iwasawa λ-and μ-invariants of it to vanish.

    Original languageEnglish
    Pages (from-to)431-435
    Number of pages5
    JournalTohoku Mathematical Journal
    Volume49
    Issue number3
    Publication statusPublished - 1997 Sep

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    Class Group
    Number field
    Divisibility
    Class number
    P-adic
    Riemann zeta function
    Vanish
    Odd
    Invariant
    Sufficient Conditions

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

    The class group of Zp-extensions over totally real number fields. / Ozaki, Manabu.

    In: Tohoku Mathematical Journal, Vol. 49, No. 3, 09.1997, p. 431-435.

    Research output: Contribution to journal › Article

    Ozaki, M 1997, 'The class group of Zp-extensions over totally real number fields', Tohoku Mathematical Journal, vol. 49, no. 3, pp. 431-435.
    Ozaki M. The class group of Zp-extensions over totally real number fields. Tohoku Mathematical Journal. 1997 Sep;49(3):431-435.
    Ozaki, Manabu. / The class group of Zp-extensions over totally real number fields. In: Tohoku Mathematical Journal. 1997 ; Vol. 49, No. 3. pp. 431-435.
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