On generic families of cyclic polynomials with even degree

Kiichiro Hashimoto, Yüichi Rikuna

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    Abstract

    We construct generic cyclic polynomials of even degree with two parameters. Our result, which is based on an affirmative solution for linear Noether's problem, corresponds to "two-dimensional" Kummer theory with base field descended to the maximal real subfield of the cyclotomic field.

    Original languageEnglish
    Pages (from-to)283-288
    Number of pages6
    JournalManuscripta Mathematica
    Volume107
    Issue number3
    DOIs
    Publication statusPublished - 2002

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    ASJC Scopus subject areas

    • Mathematics(all)

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