2009年12月
The ideal class group of the Zp-extension over the rationals
Tohoku Mathematical Journal
- ,
- 巻
- 61
- 号
- 4
- 開始ページ
- 551
- 終了ページ
- 570
- 記述言語
- 英語
- 掲載種別
- DOI
- 10.2748/tmj/1264084499
For any prime number p, we study local triviality of the ideal class group of the Zp-extension over the rational field. We improve a known general result in such study by modifying the proof of the result, and pursue known effective arguments on the above triviality with the help of a computer. Some explicit consequences of our investigations are then provided in the case p ≤ 7.
- ID情報
-
- DOI : 10.2748/tmj/1264084499
- ISSN : 0040-8735
- SCOPUS ID : 77649315146