Annihilators of the class group of a compositum of quadratic fields

Jan Herman

Address: Faculty of Science, Masaryk University, Kotlářská 2, 611 37 Brno, Czech Republic


Abstract: This paper is devoted to a construction of new annihilators of the ideal class group of a tamely ramified compositum of quadratic fields. These annihilators are produced by a modified Rubin’s machinery. The aim of this modification is to give a stronger annihilation statement for this specific type of fields.

AMSclassification: primary 11R20; secondary 11R27, 11R29.

Keywords: annihilators, class group, circular (cyclotomic) units, compositum of quadratic fields.

DOI: 10.5817/AM2013-4-209