Let k be an (imaginary or real) abelian number field whose conductor has two distinct prime divisors. We shall construct a basis for the group C of circular units in k and compute the index of C in the group E of units in k. This result is a generalization of Theorem 3.3 in a previous paper [1].
@article{bwmeta1.element.bwnjournal-article-aav82i1p57bwm,
author = {Kazuhiro Dohmae},
title = {A note on Sinnott's index formula},
journal = {Acta Arithmetica},
volume = {80},
year = {1997},
pages = {57-67},
zbl = {0887.11046},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav82i1p57bwm}
}
Kazuhiro Dohmae. A note on Sinnott's index formula. Acta Arithmetica, Tome 80 (1997) pp. 57-67. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav82i1p57bwm/
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