On the cyclotomic unit group and the ideal class group of a real abelian number field II

研究成果: Article

6 引用 (Scopus)

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LetKbe a real abelian number field satisfying certain conditions andKnthenth layer of the cyclotomic Zp-extension ofK. We study the relation between thep-Sylow subgroup of the ideal class group and that of the unit group module the cyclotomic unit group ofKn. We give certain sufficient conditions which assure that the above two groups are isomorphic as Galois modules for sufficiently largen. We shall also show that they have the samep-rank for sufficiently largen.

元の言語English
ページ(範囲)223-232
ページ数10
ジャーナルJournal of Number Theory
64
発行部数2
DOI
出版物ステータスPublished - 1997 6 1

ASJC Scopus subject areas

  • Algebra and Number Theory

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