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On the Pseudo-Cyclicity of Some Iwasawa Modules Associated to Abelian Fields
http://hdl.handle.net/2261/1777
http://hdl.handle.net/2261/17776b256cee-22f9-48b4-a0ea-d5bba77f28d7
名前 / ファイル | ライセンス | アクション |
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jms040106.pdf (197.5 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2008-03-04 | |||||
タイトル | ||||||
タイトル | On the Pseudo-Cyclicity of Some Iwasawa Modules Associated to Abelian Fields | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Tsuji, Takae
× Tsuji, Takae |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Let $p$ be an odd prime number, and $K / \Q$ a totally imaginary finite abelian extension of the first kind, with the Galois group $Δ$. Let ${\cal U}_\infty$ (resp. ${\cal E}_\infty$ ) denote the projective limit of the semi-local units (resp. the global units) of the fields in the cyclotomic $\Zp$-extension of $K$. We will show that ${( {\cal U}_\infty / {\cal E}_\infty )}^+$ contains a cyclic $Λ [ Δ ]$-submodule of finite index. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 4, 号 1, p. 183-209, 発行日 1997 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 13405705 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11021653 | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
日本十進分類法 | ||||||
主題 | 415 | |||||
主題Scheme | NDC | |||||
Mathematical Reviews Number | ||||||
MR1451306 | ||||||
Mathmatical Subject Classification | ||||||
11R23(MSC1991) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
1996-07-01 |