Publication details

On Annihilators of the Class Group of an Imaginary Compositum of Quadratic Fields

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Year of publication 2010
Type Article in Periodical
Magazine / Source Acta Arithmetica
MU Faculty or unit

Faculty of Science

Field General mathematics
Keywords Stickelberger ideal; imaginary compositum of quadratic fields; annihilators of the class group
Description Let k be a tamely ramified imaginary compositum of quadratic fields. The aim of the paper is to construct new explicit annihilators of the class group of k not belonging to the Stickelberger ideal. These new annihilators are obtained as quotients of elements of the Stickelberger ideal, the usual source of annihilators, by suitable powers of 2.
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