Isomorphism classes and zeta-functions of some nilpotent groups

Fumitake Hyodo

    Research output: Contribution to journalArticle

    1 Citation (Scopus)

    Abstract

    In this article, we study a class of groups which are commensurable with a direct product of the discrete Heisenberg group and a free abelian group, or a free abelian group by using zeta functions of groups defined by Grunewald, Segal, and Smith as generating functions of the number of subgroups of given index n. We will show that zeta functions determine their isomorphism classes for groups belonging to the above class.

    Original languageEnglish
    Pages (from-to)25-47
    Number of pages23
    JournalTokyo Journal of Mathematics
    Volume36
    Issue number1
    DOIs
    Publication statusPublished - 2013 Jun

    Fingerprint

    Isomorphism Classes
    Nilpotent Group
    Riemann zeta function
    Free Group
    Abelian group
    Heisenberg Group
    Discrete Group
    Direct Product
    Generating Function
    Subgroup
    Class

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

    Isomorphism classes and zeta-functions of some nilpotent groups. / Hyodo, Fumitake.

    In: Tokyo Journal of Mathematics, Vol. 36, No. 1, 06.2013, p. 25-47.

    Research output: Contribution to journalArticle

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