Crespo Vicente, Teresa2009-04-072009-04-0719910002-9939https://hdl.handle.net/2445/7665For certain embedding problems $\tilde{G} \rightarrow G \simeq \operatorname{Gal}(L\mid K)$ associated to a representation $t: G \rightarrow \operatorname{Aut} A$ of the group G by automorphisms of a central simple K-algebra A of dimension n2, we prove that the solutions are the fields L((rN(z))1/n), with r running over K*/K* n and N(z) the reduced norm of an invertible element z in the algebra B ⊗ L, for B the twisted algebra of A by t.4 p.application/pdfeng(c) American Mathematical Society, 1991Teoria algebraica de nombresTeoria de GaloisAlgebraic number theoryGalois theoryinfo:eu-repo/semantics/article73543info:eu-repo/semantics/openAccess