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

• Yamauchi, Kenichi

抄録

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.

収録刊行物

• Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学

  Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学 51 (2), 89-97, 2005

  Yokohama City University and Yokohama National University

詳細情報

• CRID: 1050282677549343616
• NII論文ID: 120001740808
• NII書誌ID: AA0089285X
• ISSN: 00440523
• Web Site: http://hdl.handle.net/10131/5755
• 本文言語コード: en
• 資料種別: departmental bulletin paper
• データソース種別:
  • IRDB
  • CiNii Articles