Classifying brumer's quintic polynomials by weak mordellweil groups

Masanari Kida, Yuichi Rikuna, Atsushi Sato

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

We develop a general classification theory for Brumer's dihedral quintic polynomials by means of Kummer theory arising from certain elliptic curves. We also give a similar theory for cubic polynomials.

Original languageEnglish
Pages (from-to)691-704
Number of pages14
JournalInternational Journal of Number Theory
Volume6
Issue number3
DOIs
Publication statusPublished - 2010 May

Keywords

  • Brumer's quintic polynomial
  • Dihedral extension
  • Elliptic curve
  • Kummer theory

ASJC Scopus subject areas

  • Algebra and Number Theory

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