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Ideal Class Groups of Cyclotomic Fields and Modular Forms of Level 1

✍ Scribed by M. Kurihara


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
530 KB
Volume
45
Category
Article
ISSN
0022-314X

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Let K be a real abelian number field satisfying certain conditions and K n the n th layer of the cyclotomic Z p -extension of K. We study the relation between the p-Sylow subgroup of the ideal class group and that of the unit group module the cyclotomic unit group of K n . We give certain sufficient

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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(ΞΆ p n ) + for all sufficiently large n under some conditions. In the present paper, we shall give an anal