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

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Authors	KUČERA Radan
Year of publication	2010
Type	Article in Periodical
Magazine / Source	Acta Arithmetica
MU Faculty or unit	Faculty of Science
Citation
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.
Related projects:	Mathematical structures and their physical applications Algebraic, analytic and combinatorial number theory