Annihilators of the ideal class group of an imaginary cyclic field

JOURNAL OF NUMBER THEORY

卷:213

Article

Francirek, Pavel¹ 

[1] Masaryk Univ, Fac Sci, Brno 61137, Czech Republic

关键词: Annihilators;    Class group;    Stickelberger ideal;    Cyclic fields;   

DOI  :  10.1016/j.jnt.2019.12.003

来源: Elsevier

【 摘 要 】

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. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free