Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/7665
 Title: Embedding Galois problems and reduced norms Author: Crespo Vicente, Teresa Keywords: Teoria algebraica de nombresTeoria de GaloisAlgebraic number theoryGalois theory Issue Date: 1991 Publisher: American Mathematical Society Abstract: For 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. Note: Reproducció digital del document publicat en format paper, proporcionada per JSTOR http://www.jstor.org/stable/2048683 It is part of: Proceedings of the American Mathematical Society, 1991, vol. 112, núm. 3, p. 637-639. URI: http://hdl.handle.net/2445/7665 Related resource: https://doi.org/10.2307/2048683https://doi.org/10.1090/S0002-9939-1991-1057951-1 ISSN: 0002-9939 Appears in Collections: Articles publicats en revistes (Matemàtiques i Informàtica)

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