ID | 53920 |
フルテキストURL | |
著者 |
Ichimura, Humio
Faculty of Science, Ibaraki University
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抄録 | Let K be a real abelian field of odd degree over Q, and C the group of cyclotomic units of K. We denote by C+ and C0 the totally positive and primary elements of C, respectively. G. Gras found a duality between the Galois modules C+/C2 and C0/C2 by some ingenious calculation on cyclotomic units. We give an alternative proof using a consequence (=“Gras conjecture”) of the Iwasawa main conjecture and the standard reflection argument. We also give some related topics.
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キーワード | cyclotomic units
reflection argument
ideal class group
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発行日 | 2016-01
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出版物タイトル |
Mathematical Journal of Okayama University
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巻 | 58巻
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号 | 1号
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出版者 | Department of Mathematics, Faculty of Science, Okayama University
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開始ページ | 125
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終了ページ | 132
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ISSN | 0030-1566
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NCID | AA00723502
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資料タイプ |
学術雑誌論文
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言語 |
英語
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著作権者 | Copyright©2016 by the Editorial Board of Mathematical Journal of Okayama University
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論文のバージョン | publisher
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査読 |
有り
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Submission Path | mjou/vol58/iss1/5
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JaLCDOI |