, Volume 82, Issue 1-3, pp 141-156

TheK-admissibility of 2A 6 and 2A 7

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Abstract

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 areQ 16-admissible. This is the same class of number fields which are 2A 6=SL(2, 9) and 2A 7 admissible.

Dedicated to John Thompson to celebrate his Wolf Prize in Mathematics 1992