The K-admissibility of SL(2, 5)
- Cite this article as:
- Feit, P. & Feit, W. Geom Dedicata (1990) 36: 1. doi:10.1007/BF00181462
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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.