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On solving relative norm equations in algebraic number fields |
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| Authors: | C. Fieker A. Jurk M. Pohst. |
| Affiliation: | Fachbereich 3 Mathematik, Sekretariat MA~8--1, Technische Universität Berlin, Straße des 17. Juni 136, D-10623 Berlin, Germany ; Desdorfer Weg 15, 50181 Bedburg, Germany M. Pohst ; Fachbereich 3 Mathematik, Sekretariat MA~8--1, Technische Universität Berlin, Straße des 17. Juni 136, D-10623 Berlin, Germany |
| Abstract: | Let  be algebraic number fields and  a free  -module. We prove a theorem which enables us to determine whether a given relative norm equation of the form  has any solutions  at all and, if so, to compute a complete set of nonassociate solutions. Finally we formulate an algorithm using this theorem, consider its algebraic complexity and give some examples. |
| Keywords: | Algebraic number theory norm equations relative norm equations relative extensions |
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