Isomorphism classes and zeta-functions of some nilpotent groups

Fumitake Hyodo

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    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

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    ASJC Scopus subject areas

    • Mathematics(all)

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