Given any prime number l which is a primitive root modulo 529 (=232), we shall prove that the l-class group of the Z23-extension over the rational field is trivial.
Publié le : 2009-12-15
Classification:
Z23-extension,
ideal class group,
Iwasawa theory,
11R29,
11R20,
11R23
@article{1259763075,
author = {Horie, Kuniaki and Horie, Mitsuko},
title = {The ideal class group of the Z<sub>23</sub>-extension over the rational field},
journal = {Proc. Japan Acad. Ser. A Math. Sci.},
volume = {85},
number = {2},
year = {2009},
pages = { 155-159},
language = {en},
url = {http://dml.mathdoc.fr/item/1259763075}
}
Horie, Kuniaki; Horie, Mitsuko. The ideal class group of the Z23-extension over the rational field. Proc. Japan Acad. Ser. A Math. Sci., Tome 85 (2009) no. 2, pp. 155-159. http://gdmltest.u-ga.fr/item/1259763075/