Equivalent trace sets for arithmetic Fuchsian groups
Geometric Topology
2016-03-25 v3
Abstract
We show that the modular group has an infinite family of finite index subgroups, each of which has the same trace set as the modular group itself. Various congruence subgroups of the modular group, and the Bianchi groups, are also shown to have this property. In the case of the modular group, we construct examples of such finite index subgroups.
Cite
@article{arxiv.1312.7771,
title = {Equivalent trace sets for arithmetic Fuchsian groups},
author = {Grant S. Lakeland},
journal= {arXiv preprint arXiv:1312.7771},
year = {2016}
}
Comments
14 pages, 5 figures. To appear in Proceedings of the AMS