Fitting ideals of iwasawa modules and of the dual of class groups

Cornelius Greither, Masato Kurihara

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this paper we study some problems related to a refinement of Iwasawa theory, especially questions about the Fitting ideals of several natural Iwasawa modules and of the dual of the class groups, as a sequel to our previous papers [8], [3]. Among other things, we prove that the annihilator of Zp(1) times the Stickelberger element is not in the Fitting ideal of the dualized Iwasawa module if the p-component of the bottom Galois group is elementary p-abelian with p-rank 4. Our results can be applied to the case that the base field is Q.

Original languageEnglish
Pages (from-to)619-642
Number of pages24
JournalTokyo Journal of Mathematics
Volume39
Issue number3
DOIs
Publication statusPublished - 2017 Mar

ASJC Scopus subject areas

  • Mathematics(all)

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