Octic 2-adic fields

John Jones, David P. Roberts

Research output: Contribution to journalArticle

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 1 2008

ASJC Scopus subject areas

  • Algebra and Number Theory

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