annihilators; class group; circular (cyclotomic) units; compositum of quadratic fields
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.
 Lambek, J.: Lectures on rings and modules. 3rd ed., Chelsea Publishing Co., New York, 1988.
 Thaine, F.: On the ideal class groups of real abelian number fields
. Ann. of Math. (2) 128 (1988), 1–18. Zbl 0665.12003