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

Cornelius Greither, Masato Kurihara

研究成果: Article

14 引用 (Scopus)

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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.

元の言語English
ページ(範囲)905-930
ページ数26
ジャーナルMathematische Zeitschrift
260
発行部数4
DOI
出版物ステータスPublished - 2008 12 1

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ASJC Scopus subject areas

  • Mathematics(all)

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