Publication details

Annihilators of the ideal class group of a cyclic extension of an imaginary quadratic field

Authors

CHAPDELAINE Hugo KUČERA Radan

Year of publication 2019
Type Article in Periodical
Magazine / Source CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES
MU Faculty or unit

Faculty of Science

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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