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
On the Isomorphism Classes of Iwasawa Modules Associated to Imaginary Quadratic Fields with $λ = 2$
jms060204.pdf
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