Generic polynomials over Q with two parameters for the transitive groups of degree five

Ki Ichiro Hashimoto, Hiroshi Tsunogai

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

In this article, we construct generic polynomials over Q with two parameters for all transitive subgroups of the symmetric group of degree 5 by considering the action on the moduli space of the projective line with ordered five marked points. Although polynomials having such properties are already known, our device is unifying through all the cases, and in some cases we obtain polynomials with much simpler coefficients.

Original languageEnglish
Pages (from-to)142-145
Number of pages4
JournalProceedings of the Japan Academy Series A: Mathematical Sciences
Volume79
Issue number9
DOIs
Publication statusPublished - 2003 Nov

Keywords

  • Constructive Galois theory
  • Generic polynomials

ASJC Scopus subject areas

  • Mathematics(all)

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