Stickelberger elements, Fitting ideals of class groups of CM-fields, and dualisation

Cornelius Greither, Masato Kurihara

研究成果: Article査読

17 被引用数 (Scopus)

抄録

In this paper, we systematically construct abelian extensions of CM-fields over a totally real field whose Stickelberger elements are not in the Fitting ideals of the class groups. Our evidence indicates that Pontryagin duals of class groups behave better than the class groups themselves. We also explore the behaviour of Fitting ideals under projective limits and dualisation in a somewhat broader context.

本文言語English
ページ(範囲)905-930
ページ数26
ジャーナルMathematische Zeitschrift
260
4
DOI
出版ステータスPublished - 2008 12月

ASJC Scopus subject areas

  • 数学 (全般)

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