The ideal class group of the $\boldsymbol{Z}_p$-extension over the rationals
Kuniaki Horie and Mitsuko Horie
Source: Tohoku Math. J. (2) Volume 61, Number 4
(2009), 551-570.
Abstract
For any prime number $p$, we study local triviality of the ideal class group of the ${\boldsymbol Z}_p$-extension over the rational field. We improve a known general result in such study by modifying the proof of the result, and pursue known effective arguments on the above triviality with the help of a computer. Some explicit consequences of our investigations are then provided in the case $p\leq7$.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.tmj/1264084499
Digital Object Identifier: doi:10.2748/tmj/1264084499
Zentralblatt MATH identifier: 05238452
Mathematical Reviews number (MathSciNet): MR2598249
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Project Euclid: euclid.em/1259158432
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Zentralblatt MATH: 1011.11072
Digital Object Identifier: doi:10.1112/S0024610702003502
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Project Euclid: euclid.tmj/1128703003
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Tohoku Mathematical Journal
