NOTE ON HILBERT-SPEISER NUMBER FIELDS AT A PRIME p
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Abstract
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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 .
Journal
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- Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学
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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
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Details 詳細情報について
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- CRID
- 1050282677425012480
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- NII Article ID
- 120001740842
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- NII Book ID
- AA0089285X
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- ISSN
- 00440523
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- HANDLE
- 10131/5789
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- Text Lang
- en
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- Article Type
- departmental bulletin paper
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- Data Source
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- IRDB
- CiNii Articles