Construction of Z<SUB>p</SUB>-extensions with prescribed Iwasawa modules

• OZAKI Manabu

  Department of Mathematics Faculty of Science and Engineering Shimane University

Bibliographic Information

Other Title

• Construction of Zp-extensions with prescribed Iwasawa modules

Abstract

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

Journal

• Journal of the Mathematical Society of Japan

  Journal of the Mathematical Society of Japan 56 (3), 787-801, 2004

  The Mathematical Society of Japan

Keywords

• Iwasawa module
• Iwasawa invariant
• capitulation of ideals

Details

• CRID: 1390282680091875072
• NII Article ID: 10013358953
• NII Book ID: AA0070177X
• DOI: 10.2969/jmsj/1191334086
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 2071673
• NDL BIB ID: 7015164
• Web Site: http://id.ndl.go.jp/bib/7015164
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I7015164
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed