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

Kiichiro 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
    Publication statusPublished - 2003 Nov

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    Two Parameters
    Polynomial
    Symmetric group
    Moduli Space
    Subgroup
    Line
    Coefficient

    Keywords

    • Constructive Galois theory
    • Generic polynomials

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

    Generic polynomials over Q with two parameters for the transitive groups of degree five. / Hashimoto, Kiichiro; Tsunogai, Hiroshi.

    In: Proceedings of the Japan Academy Series A: Mathematical Sciences, Vol. 79, No. 9, 11.2003, p. 142-145.

    Research output: Contribution to journalArticle

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