Generic cyclic polynomials of odd degree |
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| Authors: | Ward Smith Gene |
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| Affiliation: | Department of Mathematics and Computer Sciences , Northern Michigan University , Marquette , MI 49855 |
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| Abstract: | For any cyclic group G of odd order and any field F whose characteristic does not divide the order of G it is possible to find a polynomial which parametrizes all extensions of F with group G. In this paper such a polynomial is explicitly constructed for each such group G which is valid for all such fields F. |
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