EQUIVALENT TRACE SETS FOR ARITHMETIC FUCHSIAN GROUPS

Lakeland Grant S<sup>*</sup>

doi:10.1090/proc/13194

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EQUIVALENT TRACE SETS FOR ARITHMETIC FUCHSIAN GROUPS

作者：Lakeland Grant S^*

来源：PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 145(1): 445-459.

DOI：10.1090/proc/13194

摘要

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.