For a compositum $k$ of quadratic number fields new explicit units are constructed by taking power-of-two roots of circular units. These units are used to obtain a result concerning the divisibility of the class number of $k$ by a power of $2$.
Publié le : 2008-12-15
Classification:
compositum of real quadratic fields,
class number,
group of circular units,
11R20,
11R27,
11R29
@article{1229696569,
author = {Ku\v cera, Radan},
title = {On the class number of a compositum of real quadratic fields: an approach via circular units},
journal = {Funct. Approx. Comment. Math.},
volume = {38},
number = {1},
year = {2008},
pages = { 179-189},
language = {en},
url = {http://dml.mathdoc.fr/item/1229696569}
}
Kučera, Radan. On the class number of a compositum of real quadratic fields: an approach via circular units. Funct. Approx. Comment. Math., Tome 38 (2008) no. 1, pp. 179-189. http://gdmltest.u-ga.fr/item/1229696569/