The Hilbert Modular Group and Orthogonal Groups
Number Theory
2022-06-14 v2
Abstract
We derive an explicit isomorphism between the Hilbert modular group and certain congruence subgroups on the one hand and particular subgroups of the special orthogonal group on the other hand. The proof is based on an application of linear algebra adapted to number theoretical needs.
Keywords
Cite
@article{arxiv.2112.11293,
title = {The Hilbert Modular Group and Orthogonal Groups},
author = {Adrian Hauffe-Waschbüsch and Aloys Krieg},
journal= {arXiv preprint arXiv:2112.11293},
year = {2022}
}