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

Cornelius Greither, Masato Kurihara

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

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
Volume260
Issue number4
DOIs
Publication statusPublished - 2008 Dec

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CM-field
Dualization
Class Group
Projective Limit

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Stickelberger elements, Fitting ideals of class groups of CM-fields, and dualisation. / Greither, Cornelius; Kurihara, Masato.

In: Mathematische Zeitschrift, Vol. 260, No. 4, 12.2008, p. 905-930.

Research output: Contribution to journalArticle

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