We define a sequence of rational integers 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 . This is a generalization of results of P. Dénes [3], [4] and F. Kurihara [5].
@article{bwmeta1.element.bwnjournal-article-aav85i3p249bwm,
author = {Tsutomu Shimada},
title = {Index for subgroups of the group of units in number fields},
journal = {Acta Arithmetica},
volume = {84},
year = {1998},
pages = {249-263},
zbl = {0917.11057},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav85i3p249bwm}
}
Tsutomu Shimada. Index for subgroups of the group of units in number fields. Acta Arithmetica, Tome 84 (1998) pp. 249-263. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav85i3p249bwm/
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