Number fields unramified away from 2

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6 Scopus citations

Abstract

Consider the set of number fields unramified away from 2, i.e., unramified outside {2,∞}. We show that there do not exist any such fields of degrees 9 through 15. As a consequence, the following simple groups are ruled out for being the Galois group of an extension which is unramified away from 2: Mathieu groups M11 and M12, PSL(3,3), and alternating groups Aj for 8<j<16 (values j≤8 were previously known).

Original languageEnglish (US)
Pages (from-to)1282-1291
Number of pages10
JournalJournal of Number Theory
Volume130
Issue number6
DOIs
StatePublished - Jun 2010

Keywords

  • Number field
  • Prescribed ramification

ASJC Scopus subject areas

  • Algebra and Number Theory

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