NOTE ON HILBERT-SPEISER NUMBER FIELDS AT A PRIME p

• Ichimura, Humio

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Let p be a prime number. A number field F satisfies the Hilbert-Speiser condition (H_{p}) when any tame cyclic extension N/F of degree p has a normal integral basis. We show that F satisfies (H_{p}) only when F cap Q(zeta_{p})=Q under some assumption on p .

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 54 (1), 45-53, 2007

  Yokohama City University and Yokohama National University

詳細情報

• CRID: 1050282677425012480
• NII論文ID: 120001740842
• NII書誌ID: AA0089285X
• ISSN: 00440523
• HANDLE: 10131/5789
• Web Site: https://ynu.repo.nii.ac.jp/records/7028
• 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