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arXiv · 1705.10905

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

Hugo Chapdelaine·Radan Kučera
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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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Hugo Chapdelaine, Radan Kučera. 2017-05-31. Annihilators of the ideal class group of a cyclic extension of an imaginary quadratic field. https://arxiv.org/abs/1705.10905

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