Nonic 3-adic fields

John W. Jones, David P. Roberts

    Research output: Chapter in Book/Report/Conference proceedingChapter

    13 Scopus citations

    Abstract

    We compute all nonic extensions of Q3 and find that there are 795 of them up to isomorphism. We describe how to compute the associated Galois group of such a field, and also the slopes measuring wild ramification. We present summarizing tables and a sample application to number fields.

    Original languageEnglish (US)
    Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
    EditorsDuncan Buell
    PublisherSpringer Verlag
    Pages293-308
    Number of pages16
    ISBN (Print)3540221565, 9783540221562
    DOIs
    StatePublished - 2004

    Publication series

    NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
    Volume3076
    ISSN (Print)0302-9743
    ISSN (Electronic)1611-3349

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