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 $p\leq7$.
Citation
Kuniaki Horie. Mitsuko Horie. "The ideal class group of the $\boldsymbol{Z}_p$-extension over the rationals." Tohoku Math. J. (2) 61 (4) 551 - 570, 2009. https://doi.org/10.2748/tmj/1264084499
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