Israel Journal of Mathematics

, Volume 82, Issue 1–3, pp 141–156

TheK-admissibility of 2A6 and 2A7

  • Walter Feit
Article

Abstract

LetK be a field and letG be a finite group.G isK-admissible if there exists a Galois extensionL ofK withG=Gal(L/K) such thatL is a maximal subfield of a centralK-division algebra. This paper contains a characterization of those number fields which areQ16-admissible. This is the same class of number fields which are 2A6=SL(2, 9) and 2A7 admissible.

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Copyright information

© Hebrew University 1993

Authors and Affiliations

  • Walter Feit
    • 1
  1. 1.Department of MathematicsYale UniversityNew HavenUSA

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