On the group of circular units of any compositum of quadratic fields

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Authors	POLICKÝ Zdeněk
Year of publication	2009
Type	Article in Periodical
Magazine / Source	Acta Arithmetica
MU Faculty or unit	Faculty of Science
Citation
Web	http://journals.impan.gov.pl/aa/
Field	General mathematics
Keywords	compositum of quadratic fields; circular units; the index of circular units; class number
Description	This paper studies the group of circular units C of a compositum of quadratic fields. If the ramification index e at 2 is equal to 1 or 2 then we already know a basis and the index of C. Therefore this paper deals with the remaining case e = 4.
Related projects:	Algebraic, analytic and combinatorial number theory