Abstract
By means of results due toKlieman andFlor it is shown that a Galois-polynomial of degree greater than two over a formally real field is determined uniquely by its root polynomials except for the degenerate case where the roots are linearly dependent.
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Kleiman, H.: Methods for uniquely determining Galois polynomials and related theorems. Mh. Math.73, 63–68 (1969).
Flor, P.: Über die Festlegung eines Galoispolynoms durch seine Wurzelpolynome. Mh. Math.73, 397–399 (1969).
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Herrn Prof. Dr. E. Hlawka zum 60. Geburtstag gewidmet
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Muthsam, H. Eine Bemerkung über die Wurzelpolynome Galoisscher Gleichungen. Monatshefte für Mathematik 83, 155–157 (1977). https://doi.org/10.1007/BF01534636
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DOI: https://doi.org/10.1007/BF01534636