Generalizations of the normal basis theorem

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 2004Publisher:Det Kgl. Bibliotek/Royal Danish LibraryJournal:MATHEMATICA SCANDINAVICA, volume 94, page 185 (issn: 0025-5521, eissn: 1903-1807,

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Authors: Björkholdt, Elise; Lundström, Patrik;

doi: 10.7146/math.scand.a-14437

Generalizations of the normal basis theorem

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Abstract

We give several generalizations of the normal basis and primitive element theorems for a finite Galois field extension, with an infinite base field. These generalizations are obtained by considering polynomial expressions of conjugates of a fixed element.

Keywords

primitive element, Separable extensions, Galois theory, normal basis, Galois field extension

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