On the class number of a compositum of real quadratic fields: an approach via circular units

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Authors

KUČERA Radan

Year of publication 2008
Type Article in Periodical
Magazine / Source Functiones et Approximatio Commentarii Mathematici
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords compositum of real quadratic fields; class number; group of circular units
Description 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 the class number of K by a power of 2.
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