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- Horie Kuniaki
- Bunkyo-ku Tokyo, Japan
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- Horie Mitsuko
- Department of Mathematics, Ochanomizu University
書誌事項
- タイトル別名
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- The <i>l</i>-class group of the <i><b>Z</b></i><sub><i>p</i></sub>-extension over the rational field
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抄録
Let p be an odd prime, and let B∞ denote the Zp-extension over the rational field. Let l be an odd prime different from p. The question whether the l-class group of B∞ is trivial has been considered in our previous papers mainly for the case where l varies with p fixed. We give a criterion, for checking the triviality of the l-class group of B∞, which enables us to discuss the triviality when p varies with l fixed. As a consequence, we find that, if l does not exceed 13 and p does not exceed 101, then the l-class group of B∞ is trivial.
収録刊行物
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 64 (4), 1071-1089, 2012
一般社団法人 日本数学会
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キーワード
詳細情報 詳細情報について
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- CRID
- 1390282680091132032
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- NII論文ID
- 10031177261
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- NII書誌ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- NDL書誌ID
- 024019835
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
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- 使用不可