The tame-wild principle for discriminant relations for number fields

John Jones, David P. Roberts

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

Consider tuples (K1,..., Kr)of separable algebras over a common local or global number field F, with the Ki related to each other by specified resolvent constructions. Under the assumption that all ramification is tame, simple group-theoretic calculations give best possible divisibility relations among the discriminants of Ki =F. We show that for many resolvent constructions, these divisibility relations continue to hold even in the presence of wild ramification.

Original languageEnglish (US)
Pages (from-to)609-645
Number of pages37
JournalAlgebra and Number Theory
Volume8
Issue number3
DOIs
StatePublished - 2014

Keywords

  • Discriminant
  • Number field
  • Ramification

ASJC Scopus subject areas

  • Algebra and Number Theory

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