Geodesic
Leopoldt's problem for Abelian totally ramified extensions of complete discrete valuation fields
Algebra i analiz, Tome 18 (2006) no. 5, pp. 99-129.

Voir la notice de l'article provenant de la source Math-Net.Ru

By using methods described in earlier papers of the author, it is proved that, in many cases, if an Abelian totally ramified $p$-extension contains an ideal free over its associated order, then the extension is of the type described and completely classified in an earlier paper of the author (such extensions are said to be semistable). A counterexample to this statement is presented in the case where the conditions on the extension are not fulfilled. Several other properties of extensions in question are proved. 
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M. V. Bondarko. Leopoldt's problem for Abelian totally ramified extensions of complete discrete valuation fields. Algebra i analiz, Tome 18 (2006) no. 5, pp. 99-129. http://geodesic.mathdoc.fr/item/AA_2006_18_5_a4/

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