Generalizations of the normal basis theorem | Zendy

Elise Björkholdt | Zendy; Patrik Lundström | Zendy

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Generalizations of the normal basis theorem

Author(s) -

Elise Björkholdt,

Patrik Lundström

Publication year - 2004

Publication title -

mathematica scandinavica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.553

H-Index - 30

eISSN - 1903-1807

pISSN - 0025-5521

DOI - 10.7146/math.scand.a-14437

Subject(s) - mathematics , basis (linear algebra) , normal basis , extension (predicate logic) , element (criminal law) , field (mathematics) , pure mathematics , base (topology) , polynomial basis , field extension , algebra over a field , finite field , galois module , discrete mathematics , mathematical analysis , geometry , computer science , political science , law , programming language

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.

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