Geometriae Dedicata

, Volume 36, Issue 1, pp 1–13

The K-admissibility of SL(2, 5)

  • Paul Feit
  • Walter Feit
Article

DOI: 10.1007/BF00181462

Cite this article as:
Feit, P. & Feit, W. Geom Dedicata (1990) 36: 1. doi:10.1007/BF00181462

Abstract

Let K be a field and let G be a finite group. G is K-admissible if there exists a Galois extension L of K with G=Gal(L/K) such that L is a maximal subfield of a central K-division algebra. We characterize those number fields K such that H is K-admissible where H is any subgroup of SL(2, 5) which contains a S2-group. The method also yields refinements and alternate proofs of some known results including the fact that A5 is K-admissible for every number field K.

Copyright information

© Kluwer Academic Publishers 1990

Authors and Affiliations

  • Paul Feit
    • 1
  • Walter Feit
    • 2
  1. 1.Department of MathematicsPrinceton UniversityPrincetonUSA
  2. 2.Department of MathematicsYale UniversityNew HavenUSA