On the group of modular units and the ideal class group |
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| Authors: | Tsuyoshi Itoh Keiichi Komatsu |
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| Affiliation: | Department of Mathematical Sciences, School of Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku, Tokyo 169-8555, Japan |
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| 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. |
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| Keywords: | 11R23 11G16 |
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