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Laboratoire de Mathématiques CNRS UMR 6623, Université de Franche-Comte, 16 route de Gray, 25030 Besanc¸on Cedex, France. e-mail: hassan.oukhaba@math.univ-fcomte.fr
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We compute the index of certains groups of elliptic units. These groups are the analoguousof Sinnott's groups of circular units.