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

Cornelius Greither, Masato Kurihara

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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.

Original languageEnglish
Pages (from-to)905-930
Number of pages26
JournalMathematische Zeitschrift
Issue number4
Publication statusPublished - 2008 Dec 1


ASJC Scopus subject areas

  • Mathematics(all)

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