# The *K*-admissibility of SL(2, 5)

Article

- Received:

DOI: 10.1007/BF00181462

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

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## 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 *S*_{2}-group. The method also yields refinements and alternate proofs of some known results including the fact that *A*_{5} is *K*-admissible for every number field *K*.

## Copyright information

© Kluwer Academic Publishers 1990