English

Computing $S$-unit groups of orders

Number Theory 2017-10-05 v1

Abstract

Based on the general strategy described by Borel and Serre and the Voronoi algorithm for computing unit groups of orders we present an algorithm for finding presentations of SS-unit groups of orders. The algorithm is then used for some investigations concerning the congruence subgroup property.

Keywords

Cite

@article{arxiv.1710.01517,
  title  = {Computing $S$-unit groups of orders},
  author = {Sebastian Schönnenbeck},
  journal= {arXiv preprint arXiv:1710.01517},
  year   = {2017}
}
R2 v1 2026-06-22T22:03:20.041Z