The class group of Z p-extensions over totally real number fields

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概要

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• Let p be an odd prime. We shall give a criterion for p-divisibility of the class number of the n-th layer of a Zp-extension over a certain totally real number field by means of the value of the p-adic zeta function. We shall also discuss the capitulation in such a Zp-extension and a sufficient condition for the Iwasawa λ- and μ-invariants of it to vanish.

• 東北大学の論文

著者

• Ozaki Manabu

  Department Of Information And Computer Science Waseda University

• Ozaki Manabu

  Department Of Information And Computer Sciences Waseda 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)

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