Mixed degree number field computations

John Jones, David P. 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 (Formula presented.) and smallest absolute discriminant. We carry out a number of related computations, including determining the octic field with Galois group (Formula presented.) of smallest absolute discriminant.

Original languageEnglish (US)
Pages (from-to)1-20
Number of pages20
JournalRamanujan Journal
DOIs
StateAccepted/In press - Jul 11 2018

Fingerprint

Galois group
Number field
Discriminant
Computing

Keywords

  • Discriminant
  • Galois group
  • Number field
  • Ramification

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

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

In: Ramanujan Journal, 11.07.2018, p. 1-20.

Research output: Contribution to journalArticle

Jones, John ; Roberts, David P. / Mixed degree number field computations. In: Ramanujan Journal. 2018 ; pp. 1-20.
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