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On the group of modular units and the ideal class group

✍ Scribed by Tsuyoshi Itoh; Keiichi Komatsu

Publisher: Elsevier Science
Year: 2007
Tongue: English
Weight: 161 KB
Volume: 123
Category: Article
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2006.07.009

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✦ Synopsis

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 p n ) + 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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