Let be an abelian extension of -adic fields, and let denote the valuation ring of . We study ideals of the valuation ring of as integral representations of the Galois group . Assuming is absolutely unramified we use techniques from the theory of factorisability to investigate which ideals are isomorphic to an -order in the group algebra . We obtain several general and also explicit new results.
Soit une extension abélienne de corps -adiques, et soit l’anneau de valuation de . Nous étudions les idéaux de l’anneau de valuation de comme représentations entières du groupe de Galois . À supposer que soit absolument non ramifiée nous utilisons les techniques de la théorie de la factorisabilité pour examiner quels idéaux sont isomorphes à un -ordre dans l’algèbre du groupe . Nous obtenons de nouveaux résultats généraux et aussi explicites.
@article{AIF_1991__41_2_393_0, author = {Burns, David J.}, title = {Factorisability and wildly ramified {Galois} extensions}, journal = {Annales de l'Institut Fourier}, pages = {393--430}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {41}, number = {2}, year = {1991}, doi = {10.5802/aif.1259}, mrnumber = {92m:11135}, zbl = {0727.11048}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/aif.1259/} }
TY - JOUR AU - Burns, David J. TI - Factorisability and wildly ramified Galois extensions JO - Annales de l'Institut Fourier PY - 1991 SP - 393 EP - 430 VL - 41 IS - 2 PB - Institut Fourier PP - Grenoble UR - http://archive.numdam.org/articles/10.5802/aif.1259/ DO - 10.5802/aif.1259 LA - en ID - AIF_1991__41_2_393_0 ER -
Burns, David J. Factorisability and wildly ramified Galois extensions. Annales de l'Institut Fourier, Volume 41 (1991) no. 2, pp. 393-430. doi : 10.5802/aif.1259. http://archive.numdam.org/articles/10.5802/aif.1259/
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