EMBEDDING GALOIS PROBLEMS AND REDUCED NORMS

CRESPO, T (1991) EMBEDDING GALOIS PROBLEMS AND REDUCED NORMS. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 112 (3). pp. 637-639. ISSN 0002-9939,

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Abstract

For certain embedding problems G approximately --> G congruent-to Gal(L\K) associated to a representation t : G --> 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 x L, for B the twisted algebra of A by t.

Item Type: Article
Uncontrolled Keywords: REPRESENTATIONS;
Depositing User: Dr. Gernot Deinzer
Last Modified: 19 Oct 2022 08:46
URI: https://pred.uni-regensburg.de/id/eprint/54974

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