THE K-ADMISSIBILITY OF 2A(6) AND 2A(7)

Authors
FEIT W
Citation
W. Feit, THE K-ADMISSIBILITY OF 2A(6) AND 2A(7), Israel Journal of Mathematics, 82(1-3), 1993, pp. 141-156
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Israel Journal of Mathematics → ACNP
ISSN journal
00212172
Volume
82
Issue
1-3
Year of publication
1993
Pages
141 - 156
Database
ISI
SICI code
0021-2172(1993)82:1-3<141:TKO2A2>2.0.ZU;2-U
Abstract
Let K be a field and let G be a finite group. G is K-admissible if the re 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. This paper contains a characterization of those number fields which are Q(16)-admissible. This is the same class of number fields which are 2A(6) = SL(2, 9) an d 2A(7) admissible.