Construction of Z_p-extensions with prescribed Iwasawa modules
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概要
- 論文の詳細を見る
We construct Z<SUB>p</SUB>-extensions whose Iwasawa modules have prescribed structure. Specifically, we give a Z<SUB>p</SUB>-extension with prescribed finite Iwasawa module. Also we show that there exists a Z<SUB>p</SUB>-extension with arbitrarily given Iwasawa μ-invariant. We apply the construction of such Z<SUB>p</SUB>-extensions to a certain capitulation problem.
- 社団法人 日本数学会の論文
- 2004-07-01
著者
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Ozaki Manabu
Department Of Information And Computer Science Waseda University
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Ozaki Manabu
Department Of Mathematics Faculty Of Science And Engineering Shimane University
関連論文
- Remark on the Iwasawa Invariants of p-Extensions of a Totally Real Number Field
- A Note on the Iwasawa λ-Invariants of Real Abelian Number Fields
- Construction of Z_p-extensions with prescribed Iwasawa modules
- The class group of Z p-extensions over totally real number fields
- Remark on the Iwasawa invariants of p-extensions of a totally real number field (Japan-Korea joint seminar on number theory and related topics 2008)