On the group of modular units and the ideal class group

Tsuyoshi Itoh, Keiichi Komatsu

    Research output: Contribution to journalArticle

    1 Citation (Scopus)

    Abstract

    J.-M. Kim, S. Bae and I.-S. Lee showed that there exists an isomorphism between the p-primary part of the ideal class group and p-primary part of the unit group modulo cyclotomic unit group in Q (ζpn)+ for all sufficiently large n under some conditions. In the present paper, we shall give an analogue of their result for modular units.

    Original languageEnglish
    Pages (from-to)193-203
    Number of pages11
    JournalJournal of Number Theory
    Volume123
    Issue number1
    DOIs
    Publication statusPublished - 2007 Mar

    Fingerprint

    Unit Group
    Ideal Class Group
    Unit
    Si
    Cyclotomic
    Modulo
    Isomorphism
    Analogue

    ASJC Scopus subject areas

    • Algebra and Number Theory

    Cite this

    On the group of modular units and the ideal class group. / Itoh, Tsuyoshi; Komatsu, Keiichi.

    In: Journal of Number Theory, Vol. 123, No. 1, 03.2007, p. 193-203.

    Research output: Contribution to journalArticle

    Itoh, Tsuyoshi ; Komatsu, Keiichi. / On the group of modular units and the ideal class group. In: Journal of Number Theory. 2007 ; Vol. 123, No. 1. pp. 193-203.
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