Construction of Zp-extensions with prescribed Iwasawa modules

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We construct Zp-extensions whose Iwasawa modules have prescribed structure. Specifically, we give a Zp-extension with prescribed finite Iwasawa module. Also we show that there exists a Zp-extension with arbitrarily given Iwasawa μ-invariant. We apply the construction of such Zp-extensions to a certain capitulation problem.

Original languageEnglish
Pages (from-to)787-801
Number of pages15
JournalJournal of the Mathematical Society of Japan
Volume56
Issue number3
Publication statusPublished - 2004 Jul
Externally publishedYes

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Module
Iwasawa Invariants

Keywords

  • Capitulation of ideals
  • Iwasawa invariant
  • Iwasawa module

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Construction of Zp-extensions with prescribed Iwasawa modules. / Ozaki, Manabu.

In: Journal of the Mathematical Society of Japan, Vol. 56, No. 3, 07.2004, p. 787-801.

Research output: Contribution to journalArticle

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