ID | 47191 |
フルテキストURL | |
著者 |
Ichimura, Humio
Faculty of Science, Ibaraki University
|
抄録 | We say that a number field F satisfies the condition (H′2m) when any abelian extension of exponent dividing 2m has a normal basis with respect to rings of 2-integers. We say that it satisfies (H′
2∞) when it satisfies (H′
2m) for all m. We give a condition for F to satisfy (H'2m), and show that the imaginary quadratic fields F = Q(√−1) and Q(√−2) satisfy the very strong condition (H′
2∞) if the conjecture that h+2m = 1 for all m is valid. Here, h+2m) is the class number of the maximal real abelian field of conductor 2m.
|
キーワード | Hilbert-Speiser number field
Stickelberger ideal
normal integral basis
|
発行日 | 2012-01
|
出版物タイトル |
Mathematical Journal of Okayama University
|
巻 | 54巻
|
号 | 1号
|
出版者 | Department of Mathematics, Faculty of Science, Okayama University
|
開始ページ | 33
|
終了ページ | 48
|
ISSN | 0030-1566
|
NCID | AA00723502
|
資料タイプ |
学術雑誌論文
|
言語 |
英語
|
著作権者 | Copyright©2012 by the Editorial Board of Mathematical Journal of Okayama University
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論文のバージョン | publisher
|
査読 |
有り
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Submission Path | mjou/vol54/iss1/2
|
JaLCDOI |