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

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Abstract

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.

Original languageEnglish
Pages (from-to)223-232
Number of pages10
JournalJournal of Number Theory
Volume64
Issue number2
DOIs
Publication statusPublished - 1997 Jun 1

ASJC Scopus subject areas

  • Algebra and Number Theory

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