A note on codes and kets.

Caragiu, Mihai

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We define a sequence of rational integers $u_{i} (E)$ for each finite index subgroup E of the group of units in some finite Galois number fields K in which prime p ramifies. For two subgroups E’ ⊂ E of finite index in the group of units of K we prove the formula $v_{p} ([E : E^{'}]) = \sum_{i = 1}^{r} u_{i} (E^{'}) - u_{i} (E)$ . This is a generalization of results of P. Dénes [3], [4] and F. Kurihara [5].

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Lomadze, G. (2000)

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