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Journal of the Ramanujan Mathematical Society

Volume 29, Issue 3, September 2014  pp. 295–305.

On restricted ramifications and pseudo-null submodules of Iwasawa modules for Zp2-extensions

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

Summary:  Ozaki studied the non-triviality and the existence of non-trivial finite submodules of the Iwasawa module of the cyclotomic Zp-extension over totally real fields. In~this article, we show analogous results for the Zp2-extension over imaginary quadratic fields.


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