On the Galois module structure of minus class groups
Number Theory
2024-04-19 v1
Abstract
The main object of this paper is the minus class groups associated to CM-fields as Galois modules. In a previous article of the authors, we introduced a notion of equivalence for modules and determined the equivalence classes of the minus class groups. In this paper, we show a concrete application of this result. We also study how large a proportion of equivalence classes can be realized as classes of minus class groups.
Cite
@article{arxiv.2404.11823,
title = {On the Galois module structure of minus class groups},
author = {Cornelius Greither and Takenori Kataoka},
journal= {arXiv preprint arXiv:2404.11823},
year = {2024}
}
Comments
28 pages