Publication details

Annihilators of the ideal class group of an imaginary cyclic field

Authors

FRANCÍREK Pavel

Year of publication 2020
Type Article in Periodical
Magazine / Source Journal of Number Theory
MU Faculty or unit

Faculty of Science

Citation
Web https://www.sciencedirect.com/science/article/pii/S0022314X20300111
Doi http://dx.doi.org/10.1016/j.jnt.2019.12.003
Keywords annihilators; class group; cyclic fields; Stickelberger ideal
Description For certain infinite family of imaginary cyclic fields we can obtain annihilators of the ideal class group by factoring nontrivial roots of modified Gauss sums. In this paper we investigate whether and when these annihilators live outside the Stickelberger ideal.
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