Publication details
Annihilators of the Ideal Class Group of an Imaginary Abelian Number Field
| Authors | |
|---|---|
| Year of publication | 2023 |
| Type | Article in Periodical |
| Magazine / Source | MICHIGAN MATHEMATICAL JOURNAL |
| MU Faculty or unit | |
| Citation | |
| Web | http://dx.doi.org/10.1307/mmj/20226190 |
| Doi | http://dx.doi.org/10.1307/mmj/20226190 |
| Keywords | Imaginary abelian number fields; minus part of the ideal class group; annihilators; Stickelberger ideal; Sinnott module |
| Description | The aim of this paper is a construction of new explicit annihilators of the minus part of the ideal class group of an imaginary abelian number field M, i.e., annihilators which are outside of the Stickelberger ideal, their usual source. This construction works for quite a large class of abelian fields M, a sufficient condition to get a new annihilator is that there is an odd prime l dividing the degree [M:Q], unramified in M/Q, and two primes q and q' ramifying in M/Q, having their decomposition groups cyclic of l-power order such that one of them is a subgroup of the other. |