Journal of the Ramanujan Mathematical Society

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On Restricted Ramifications and Pseudo-Null Submodules of Lwasawa Modules for Z2p-Extensions


Affiliations
1 Kanazawa Institute of Technology, 7-1 Ohgigaoka, Nonoichi, Ishikawa 921-8501, Japan
     

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Ozaki studied the non-triviality and the existence of nontrivial finite submodules of the Iwasawa module of the cyclotomic Zp extension over totally real fields. In this article, we show analogous results for the Z2p-extension over imaginary quadratic fields.
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  • On Restricted Ramifications and Pseudo-Null Submodules of Lwasawa Modules for Z2p-Extensions

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Authors

Satoshi Fujii
Kanazawa Institute of Technology, 7-1 Ohgigaoka, Nonoichi, Ishikawa 921-8501, Japan

Abstract


Ozaki studied the non-triviality and the existence of nontrivial finite submodules of the Iwasawa module of the cyclotomic Zp extension over totally real fields. In this article, we show analogous results for the Z2p-extension over imaginary quadratic fields.