Tohoku Mathematical Journal, Second Series
Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735
THE IDEAL CLASS GROUP OF THE BASIC $\\boldsymbol{Z}_p$-EXTENSION OVER AN IMAGINARY QUADRATIC FIELD
KUNIAKI HORIE
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2005 Volume 57 Issue 3 Pages 375-394

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Abstract
We shall discuss the local triviality in the ideal class group of the basic $\boldsymbol{Z}_p$-extension over an imaginary quadratic field and prove, in particular, a result which implies that such triviality distributes with natural density 1.
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© 2005 by THE TOHOKU UNIVERSITY
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Tohoku Mathematical Journal, First Series

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