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Annihilators of the Ideal Class Group of a Cyclic Extension of an Imaginary Quadratic Field
Published online by Cambridge University Press: 09 January 2019
Abstract
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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- © Canadian Mathematical Society 2018
Footnotes
The second author was supported under Project 15-15785S of the Czech Science Foundation.