English

Enumerating orders in number fields

Number Theory 2024-11-14 v1

Abstract

We arrange the orders in an algebraic number field in a tree. This tree can be used to enumerate all orders of bounded index in the maximal order as well as the orders over some given order.

Keywords

Cite

@article{arxiv.2411.08568,
  title  = {Enumerating orders in number fields},
  author = {Markus Kirschmer and Jürgen Klüners},
  journal= {arXiv preprint arXiv:2411.08568},
  year   = {2024}
}
R2 v1 2026-06-28T19:58:17.480Z