THE CONSTRUCTION OF UNITS OF INFINITE ORDER IN THE CHARACTER RING OF A FINITE GROUP

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Abstract

The structure of the unit group consisting of units of finite order in the character ring of a finite group is well known (see [8]). We also have studied the unit group in the character ring of an alternating group $A_{n}(n¥geq 5)$ . In this article our objective is to construct units of infinite order in the character ring of a finite group concretely, by making use of units in $Z[¥omega]$ where $Z$ is the ring of rational integers, $¥omega$ is a primitive $p$-th root of unity, and $p(¥geq 5)$ is a prime number.

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Details 詳細情報について

  • CRID
    1050282677549343616
  • NII Article ID
    120001740808
  • NII Book ID
    AA0089285X
  • ISSN
    00440523
  • Web Site
    http://hdl.handle.net/10131/5755
  • Text Lang
    en
  • Article Type
    departmental bulletin paper
  • Data Source
    • IRDB
    • CiNii Articles

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