On Kneser Extensions
Barrera Mora, Fernando
1998
Pablo Lam-Estrada, Fernando Barrera-Mora and Gabriel Daniel Villa-Salvador, On Kneser Extensions, Journal of Algebra (201), 703-717 (1998).
Abstract
LetE/Fbe a finite separable extension such thatE = F(G) withF* ? G ? E*,G/F* a finite group, and such that there exists a 11 correspondence between the subfields of the extensionE/Fand the subgroups ofG/F*, butE/Fis notG-cogalois. A necessary and sufficient condition is given for the existence of another groupG?for the extensionE/Fto beG?-cogalois.
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