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