Open Access
September 2005 The ideal class group of the basic $\mathbf Z_p$-extension over an imaginary quadratic field
Kuniaki Horie
Tohoku Math. J. (2) 57(3): 375-394 (September 2005). DOI: 10.2748/tmj/1128703003

Abstract

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 $1$.

Citation

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Kuniaki Horie. "The ideal class group of the basic $\mathbf Z_p$-extension over an imaginary quadratic field." Tohoku Math. J. (2) 57 (3) 375 - 394, September 2005. https://doi.org/10.2748/tmj/1128703003

Information

Published: September 2005
First available in Project Euclid: 7 October 2005

zbMATH: 1128.11051
MathSciNet: MR2154097
Digital Object Identifier: 10.2748/tmj/1128703003

Subjects:
Primary: 11R29
Secondary: 11R11 , 11R20 , 11R23

Rights: Copyright © 2005 Tohoku University

Vol.57 • No. 3 • September 2005
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