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@article{725119, author = {Greither, Cornelius and Kučera, Radan}, article_location = {Grenoble}, article_number = {5}, keywords = {Imaginary abelian number fields; minus part of the ideal class group; annihilators; Stickelberger ideal; Fitting ideals}, language = {eng}, issn = {0373-0956}, journal = {Annales de l'Institut Fourier}, title = {Annihilators of minus class groups of imaginary abelian fields}, url = {http://www-fourier.ujf-grenoble.fr/}, volume = {57}, year = {2007} }
TY - JOUR ID - 725119 AU - Greither, Cornelius - Kučera, Radan PY - 2007 TI - Annihilators of minus class groups of imaginary abelian fields JF - Annales de l'Institut Fourier VL - 57 IS - 5 SP - 1623-1653 EP - 1623-1653 PB - Université Joseph Fourier Grenoble SN - 03730956 KW - Imaginary abelian number fields KW - minus part of the ideal class group KW - annihilators KW - Stickelberger ideal KW - Fitting ideals UR - http://www-fourier.ujf-grenoble.fr/ N2 - 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. ER -
GREITHER, Cornelius and Radan KUČERA. Annihilators of minus class groups of imaginary abelian fields. \textit{Annales de l'Institut Fourier}. Grenoble: Université Joseph Fourier Grenoble, 2007, vol.~57, No~5, p.~1623-1653. ISSN~0373-0956.
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