On cogalois extensions
1991; Elsevier BV; Volume: 76; Issue: 1 Linguagem: Inglês
10.1016/0022-4049(91)90093-h
ISSN1873-1376
AutoresFernando Barrera Mora, Martha Rzedowski–Calderón, Gabriel Villa–Salvador,
Tópico(s)Advanced Topology and Set Theory
ResumoGiven a number field F and a finite abelian group G≅≎′,i( Z /n, Z ), n 1 |n 2 |⋯|n i−1 |n i , 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 n 1 1 -th roots of unity are present in F and the field obtained by adjoining the n 1 -th roots of unity to F is pure over F .
Referência(s)