Publication details
Annihilators of the ideal class group of a cyclic extension of an imaginary quadratic field
| Authors | |
|---|---|
| Year of publication | 2019 |
| Type | Article in Periodical |
| Magazine / Source | CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES |
| MU Faculty or unit | |
| Citation | |
| Web | Full Text |
| Doi | http://dx.doi.org/10.4153/CJM-2018-035-9 |
| Keywords | annihilator; class group; elliptic unit. |
| Description | The aim of this paper is to study the group of elliptic units of a cyclic extension L of an imaginary quadratic field K such that the degree [L:K] is a power of an odd prime p. We construct an explicit root of the usual top generator of this group and we use it to obtain an annihilation result of the p-Sylow subgroup of the ideal class group of L. |
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