Annihilators of minus class groups of imaginary abelian fields
Annales de l'Institut Fourier, Volume 57 (2007) no. 5, p. 1623-1653
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.
Pour certains corps imaginaires abéliens, on trouve des annulateurs pour la partie moins du groupe des classes en dehors de l’idéal de Stickelberger. En fonction du cadre précis, on emploie des méthodes différentes. Les résultats théoriques sont accompagnés de calculs numériques, ayant trait à quelques cas extrêmes.
DOI : https://doi.org/10.5802/aif.2309
Classification:  11R20,  11R29
Keywords: Imaginary abelian number fields, minus part of the ideal class group, annihilators, Stickelberger ideal, Fitting ideals
@article{AIF_2007__57_5_1623_0,
     author = {Greither, Cornelius and Ku\v cera, Radan},
     title = {Annihilators of minus class groups of imaginary abelian fields},
     journal = {Annales de l'Institut Fourier},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {57},
     number = {5},
     year = {2007},
     pages = {1623-1653},
     doi = {10.5802/aif.2309},
     zbl = {1128.11050},
     mrnumber = {2364145},
     language = {en},
     url = {https://aif.centre-mersenne.org/item/AIF_2007__57_5_1623_0}
}
Greither, Cornelius; Kučera, Radan. Annihilators of minus class groups of imaginary abelian fields. Annales de l'Institut Fourier, Volume 57 (2007) no. 5, pp. 1623-1653. doi : 10.5802/aif.2309. https://aif.centre-mersenne.org/item/AIF_2007__57_5_1623_0/

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