Let $p$ be an odd prime number. Let $\varLambda = \Zp[[T]]$. We determine the $\varLambda$-isomorphism classes of finitely generated $\varLambda$-torsion $\varLambda$-modules with $λ = 2$ and $μ = 0$ which have no non-trivial finite $\varLambda$-submodule. We apply this classification to Iwasawa modules $X = \varprojlim A_n$ associated to the cyclotomic $\Zp$-extensions of imaginary quadratic fields and give some numerical examples.
雑誌名
Journal of mathematical sciences, the University of Tokyo
巻
6
号
2
ページ
371 - 396
発行年
1999
ISSN
13405705
書誌レコードID
AA11021653
フォーマット
application/pdf
日本十進分類法
415
Mathematical Reviews Number
MR1706948
Mathmatical Subject Classification
11R23(MSC1991)
出版者
Graduate School of Mathematical Sciences, The University of Tokyo
原稿受領日
1998-04-01
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On the Isomorphism Classes of Iwasawa Modules Associated to Imaginary Quadratic Fields with $λ = 2$
jms060204.pdf
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