TheK-admissibility of 2A6 and 2A7
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- Feit, W. Israel J. Math. (1993) 82: 141. doi:10.1007/BF02808111
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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.