Octic 2-adic fields

John W. Jones, David P. Roberts

    Research output: Contribution to journalArticlepeer-review

    13 Scopus citations

    Abstract

    We compute all octic extensions of Q2 and find that there are 1823 of them up to isomorphism. We compute the associated Galois group of each field, slopes measuring wild ramification, and other quantities. We present summarizing tables here with complete information available at our online database of local fields.

    Original languageEnglish (US)
    Pages (from-to)1410-1429
    Number of pages20
    JournalJournal of Number Theory
    Volume128
    Issue number6
    DOIs
    StatePublished - Jun 2008

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