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Construction of normal bases in cyclic extensions of a field. (English) Zbl 0671.12006
The author gives first a short proof of the existence of a normal basis in the case of cyclic extensions, valid both for finite and infinite ground fields, and then gives an effective method to find all such bases. Several examples illustrate this procedure.
Reviewer: W.Narkiewicz

MSC:
12F10 Separable extensions, Galois theory
12-04 Software, source code, etc. for problems pertaining to field theory
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References:
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