Publication details
Annihilators of the ideal class group of an imaginary cyclic field
| Authors | |
|---|---|
| Year of publication | 2020 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Number Theory |
| MU Faculty or unit | |
| Citation | FRANCÍREK, Pavel. Annihilators of the ideal class group of an imaginary cyclic field. Journal of Number Theory. Academic Press, 2020, vol. 213, August, p. 187-220. ISSN 0022-314X. Available from: https://dx.doi.org/10.1016/j.jnt.2019.12.003. |
| 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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