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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	193-203
Number of pages	11
Journal	Journal of Number Theory
Volume	123
Issue number	1
DOIs	https://doi.org/10.1016/j.jnt.2006.07.009
Publication status	Published - 2007 Mar

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jnt.2006.07.009

Cite this

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title = "On the group of modular units and the ideal class group",

abstract = "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 (ζpn)+ for all sufficiently large n under some conditions. In the present paper, we shall give an analogue of their result for modular units.",

author = "Tsuyoshi Itoh and Keiichi Komatsu",

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AU - Komatsu, Keiichi

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N2 - 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 (ζpn)+ for all sufficiently large n under some conditions. In the present paper, we shall give an analogue of their result for modular units.

AB - 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 (ζpn)+ for all sufficiently large n under some conditions. In the present paper, we shall give an analogue of their result for modular units.

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DO - 10.1016/j.jnt.2006.07.009

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JO - Journal of Number Theory

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On the group of modular units and the ideal class group

Abstract

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