On cogalois extensions
Barrera Mora, Fernando
1991
Fernando Barrera Mora, Martha Rzedowski Calderón and Gabriel Villa Salvador, On Cogalois Extensions, Journal of Pure and Applied Algebra (79) 1-11 (1991).
Abstract
Given a number field F and a finite abelian group View the MathML source, it is proven that there exists an extension K/F which is Galois and cogalois with Gal(K/F) ? cog(K/F) ? G iff the primitive n11-th roots of unity are present in F and the field obtained by adjoining the n1-th roots of unity to F is pure over F.
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