Abstract

Soit p un nombre premier, K une extension finie du corps des nombres p-adiques, et L/K une extension cyclique ramifiee de degre p n . On suppose que le premier nombre de ramification de L/K satisfait b 1 > 1/2 . pe 0 /(p - 1) ou e 0 est l'indice de ramification absolu de K. Nous determinons explicitement la structure de l'anneau des entiers de L comme Z p [G]-module, ou Z p designe l'anneau des entiers p-adiques et G = Gal(L/K) le groupe de Galois de L.

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