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Sur les unités des extensions cubiques cycliques non ramifiées sur certains sous-corps de Q ( d , - 3 )

Abdelmalek AziziMohamed AyadiMoulay Chrif IsmailiMohamed Talbi — 2009

Annales mathématiques Blaise Pascal

Soient k le corps quadratique réel Q ( d ) (respectivement le corps biquadratique Q ( d , - 3 ) ), d un entier positif sans facteur carré, K une extension cubique cyclique non ramifiée de k , diédrale sur Q totalement réelle, (respectivement diédrale sur Q ( - 3 ) .) On constate qu’on a deux structures possibles pour le groupe des unités U K de K , notées a l p h a et d e l t a .

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