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1 results

Annihilators of the Ideal Class Group of a Cyclic Extension of an Imaginary Quadratic Field
Part of
- Algebraic number theory: global fields
Hugo Chapdelaine, Radan Kučera
Journal:

Canadian Journal of Mathematics / Volume 71 / Issue 6 / December 2019

Published online by Cambridge University Press:

09 January 2019, pp. 1395-1419

Print publication:

December 2019
- Article
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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 $L$.