On the group of modular units and the ideal class group

Tsuyoshi Itoh; Keiichi Komatsu

doi:10.1016/j.jnt.2006.07.009

On the group of modular units and the ideal class group

Tsuyoshi Itoh^*, Keiichi Komatsu

^*この研究の対応する著者

研究成果: Article › 査読

1 被引用数 (Scopus)

抄録

J.-M. Kim, S. Bae and I.-S. Lee showed that there exists an isomorphism between the p-primary part of the ideal class group and p-primary part of the unit group modulo cyclotomic unit group in Q (ζ_pn)⁺ for all sufficiently large n under some conditions. In the present paper, we shall give an analogue of their result for modular units.

本文言語	English
ページ（範囲）	193-203
ページ数	11
ジャーナル	Journal of Number Theory
巻	123
号	1
DOI	https://doi.org/10.1016/j.jnt.2006.07.009
出版ステータス	Published - 2007 3月

ASJC Scopus subject areas

代数と数論

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10.1016/j.jnt.2006.07.009

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On the group of modular units and the ideal class group

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