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The K-admissibility of SL(2, 5) (1990)

Feit, Paul ; Feit, Walter

Springer

Geometriae dedicata 36 (1990), S. 1-13

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ISSN: 1572-9168

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00181462

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