English

Congruence testing for odd subgroups of the modular group

Number Theory 2019-02-20 v1

Abstract

We give a computationally effective criterion for determining whether a finite-index subgroup of SL(2, Z) is a congruence subgroup, extending earlier work of Hsu for subgroups of PSL(2, Z).

Keywords

Cite

@article{arxiv.1307.0625,
  title  = {Congruence testing for odd subgroups of the modular group},
  author = {Thomas Hamilton and David Loeffler},
  journal= {arXiv preprint arXiv:1307.0625},
  year   = {2019}
}
R2 v1 2026-06-22T00:44:04.775Z