Annihilators of minus class groups of imaginary abelian fields

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Authors	GREITHER Cornelius KUČERA Radan
Year of publication	2007
Type	Article in Periodical
Magazine / Source	Annales de l'Institut Fourier
MU Faculty or unit	Faculty of Science
Citation
Web	http://www-fourier.ujf-grenoble.fr/
Field	General mathematics
Keywords	Imaginary abelian number fields; minus part of the ideal class group; annihilators; Stickelberger ideal; Fitting ideals
Description	For certain imaginary abelian fields we find annihilators of the minus part of the class group outside the Stickelberger ideal. Depending on the exact situation, we use different techniques to do this. Our theoretical results are complemented by numerical calculations concerning borderline cases.
Related projects:	Mathematical structures and their physical applications Methods of number theory