Lightly ramified number fields with Galois group S.M12.A

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Abstract

We specialize various three-point covers to find number fields with Galois group M12, M12.2, 2.M12, or 2.M12.2 and light ramification in various senses. One of our 2.M12.2 fields has the unusual property that it is ramified only at the single prime 11.

Original languageEnglish (US)
Pages (from-to)435-460
Number of pages26
JournalJournal de Theorie des Nombres de Bordeaux
Volume28
Issue number2
DOIs
StatePublished - 2016

Bibliographical note

Publisher Copyright:
© Société Arithmétique de Bordeaux, 2016, tous droits réservés.

Keywords

  • Discriminant
  • Mathieu group
  • Number field
  • Ramification

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