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Sur les tours localement cyclotomiques |
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| Authors: | Jean-François Jaulent Florence Soriano |
| Institution: | Institut de Mathématiques de Bordeaux, Université Bordeaux 1, 351, cours de la Libération, F-33405 Talence Cedex, France, FR Département de Mathématiques, Université de Metz, Ile du Saulcy, F-57045 Metz Cedex, France, FR |
| Abstract: | For a given number field K and any prime l\ell we construct an increasing sequence of l\ell -extensions Kn of K which are locally cyclotomic over K. We give various criterious of finiteness or non-finiteness of this l\ell -tower and we characterise the number fields which have such a finite tower in terms of Iwasawa theory. |
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