WEKO3
アイテム
Certain primary components of the ideal class group of the $\\boldsymbol{Z}_p$-extension over the rationals
http://hdl.handle.net/10097/00106019
http://hdl.handle.net/10097/00106019dffbe61f-5938-4450-b5fe-47f8094a7b77
| Item type | [ELS]紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2017-04-07 | |||||
| タイトル | ||||||
| タイトル | Certain primary components of the ideal class group of the $\\boldsymbol{Z}_p$-extension over the rationals | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 資源タイプ | ||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
| 資源タイプ | departmental bulletin paper | |||||
| アクセス権 | ||||||
| アクセス権 | metadata only access | |||||
| アクセス権URI | http://purl.org/coar/access_right/c_14cb | |||||
| 雑誌書誌ID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA00863953 | |||||
| 論文名よみ | ||||||
| タイトル | Certain primary components of the ideal class group of the $\boldsymbol{Z}_p$-extension over the rationals | |||||
| 著者 |
Horie, Kuniaki
× Horie, Kuniaki |
|||||
| 著者所属(英) | ||||||
| 言語 | en | |||||
| 値 | Department of Mathematics, Tokai University | |||||
| 記事種別(英) | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | Article | |||||
| 抄録(英) | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | We study, for any prime number $p$, the triviality of certain primary components of the ideal class group of the $\boldsymbol{Z}_p$-extension over the rational field. Among others, we prove that if $p$ is $2$ or $3$ and $l$ is a prime number not congruent to $1$ or $-1$ modulo $2p^2$, then $l$ does not divide the class number of the cyclotomic field of $p^u$th roots of unity for any positive integer $u$. | |||||
| 書誌情報 |
東北數學雜誌. Second series en : Tohoku mathematical journal. Second series 巻 59, 号 2, p. 259-291, 発行日 2007-06-01 |
|||||
| URL | ||||||
| 識別子 | J-STAGE | https://www.jstage.jst.go.jp/article/tmj/59/2/59_2_259/_article/-char/ja | |||||
| 識別子タイプ | URI | |||||
| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 00408735 | |||||
