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

Warning

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

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