Mixed degree number field computations

John W. Jones, David Roberts

    Research output: Contribution to journalArticle

    Abstract

    We present a method for computing complete lists of number fields in cases where the Galois group, as an abstract group, appears as a Galois group in smaller degree. We apply this method to find the 25 octic fields with Galois group PSL 2(7 ) and smallest absolute discriminant. We carry out a number of related computations, including determining the octic field with Galois group 2 3: GL 3(2 ) of smallest absolute discriminant.

    Original languageEnglish (US)
    Pages (from-to)47-66
    Number of pages20
    JournalRamanujan Journal
    Volume47
    Issue number1
    DOIs
    StatePublished - Oct 1 2018

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    Galois group
    Number field
    Discriminant
    Computing

    Keywords

    • Discriminant
    • Galois group
    • Number field
    • Ramification

    Cite this

    Mixed degree number field computations. / Jones, John W.; Roberts, David.

    In: Ramanujan Journal, Vol. 47, No. 1, 01.10.2018, p. 47-66.

    Research output: Contribution to journalArticle

    Jones, John W. ; Roberts, David. / Mixed degree number field computations. In: Ramanujan Journal. 2018 ; Vol. 47, No. 1. pp. 47-66.
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