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

Warning

This publication doesn't include Faculty of Economics and Administration. It includes Faculty of Science. Official publication website can be found on muni.cz.

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.
Related projects:	Mathematical structures and their physical applications Algebraic, analytic and combinatorial number theory