Minimum discriminants of imprimitive decic fields

Eric D. Driver, John Jones

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

In this paper, we compute the minimum discriminants of imprimitive degree-10 fields for different combinations of Galois group and signature. We use class field theory when there is a quintic subfield, and a Martinet search in the more difficult case in which there is only a quadratic subfield.

Original languageEnglish (US)
Pages (from-to)475-479
Number of pages5
JournalExperimental Mathematics
Volume19
Issue number4
DOIs
StatePublished - Dec 1 2010

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Keywords

  • Global field
  • Minimum discriminiant
  • Number field

ASJC Scopus subject areas

  • Mathematics(all)

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