Eigenspaces of the ideal class group

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Authors

GREITHER Cornelius KUČERA Radan

Year of publication 2014
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/
Doi http://dx.doi.org/10.5802/aif.2908
Field General mathematics
Keywords Gras’ conjecture; circular (cyclotomic) units; ideal class group; Euler system; annihilators of the class group
Description The aim of this paper is to prove an analog of Gras’ conjecture for an abelian field F and an odd prime p dividing the degree [F:Q] assuming that the p-part of Galois group Gal (F/Q) is cyclic.
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