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Soient le corps quadratique réel (respectivement le corps biquadratique ), un entier positif sans facteur carré, une extension cubique cyclique non ramifiée de , diédrale sur totalement réelle, (respectivement diédrale sur .)
On constate qu’on a deux structures possibles pour le groupe des unités de , notées et .
Let be a pure cubic field, with , where is a cube-free integer. We will determine the reduced ideals of the order of which coincides with the maximal order of in the case where is square-free and .
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