Geodesic
Index for subgroups of the group of units in number fields
Acta Arithmetica, Tome 85 (1998) no. 3, pp. 249-263.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $v_p([E:E']) = ∑_{i=1}^r {u_i(E') - u_i(E)}$. This is a generalization of results of P. Dénes [3], [4] and F. Kurihara [5].
DOI : 10.4064/aa-85-3-249-263

Tsutomu Shimada 1

1 
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Tsutomu Shimada. Index for subgroups of the group of units in number fields. Acta Arithmetica, Tome 85 (1998) no. 3, pp. 249-263. doi : 10.4064/aa-85-3-249-263. http://geodesic.mathdoc.fr/articles/10.4064/aa-85-3-249-263/

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