Generalizations of the normal basis theorem

Elise Björkholdt; Patrik Lundström

doi:10.7146/math.scand.a-14437

Generalizations of the normal basis theorem

Authors

Elise Björkholdt
Patrik Lundström

DOI:

https://doi.org/10.7146/math.scand.a-14437

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.

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Published

2004-06-01

How to Cite

Björkholdt, E., & Lundström, P. (2004). Generalizations of the normal basis theorem. MATHEMATICA SCANDINAVICA, 94(2), 185–190. https://doi.org/10.7146/math.scand.a-14437