The ideal class group of the basic $Z_p$-extension over an imaginary quadratic field

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概要

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• We shall discuss the local triviality in the ideal class group of the basic $\mathbf Z p$-extension over an imaginary quadratic field and prove, in particular, a result which implies that such triviality distributes with natural density 1.

• 東北大学の論文

著者

• Horie Kuniaki

  Department Of Mathematics Tokai University

関連論文

• The ideal class group of the $\boldsymbol{Z}_p$-extension over the rationals
• Certain primary components of the ideal class group of the $\boldsymbol{Z}_p$-extension over the rationals
• The ideal class group of the basic $Z_p$-extension over an imaginary quadratic field
• Primary components of the ideal class group of an Iwasawa-theoretical abelian number field
• Triviality in ideal class groups of Iwasawa-theoretical abelian number fields

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