Septic fields with discriminant ±2a3b

John Jones, David P. Roberts

Research output: Contribution to journalArticle

9 Scopus citations

Abstract

We classify septic number fields which are unramified outside of {∞, 2, 3} by a targeted Hunter search; there are exactly 10 such fields, all with Galois group S7. We also describe separate computations which strongly suggest that none of these fields come from specializing septic genus zero three-point covers.

Original languageEnglish (US)
Pages (from-to)1975-1985
Number of pages11
JournalMathematics of Computation
Volume72
Issue number244
DOIs
StatePublished - Oct 1 2003

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Computational Mathematics
  • Applied Mathematics

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