Corpus ID: 119640308

# Cusps, Congruence Groups and Monstrous Dessins

@article{Tatitscheff2018CuspsCG,
title={Cusps, Congruence Groups and Monstrous Dessins},
author={Valdo Tatitscheff and Y. He and J. McKay},
journal={arXiv: Number Theory},
year={2018}
}
• Published 2018
• Mathematics, Physics
• arXiv: Number Theory
• We study general properties of the dessins d'enfants associated with the Hecke congruence subgroups $\Gamma_0(N)$ of the modular group $\mathrm{PSL}_2(\mathbb{R})$. The definition of the $\Gamma_0(N)$ as the stabilisers of couples of projective lattices in a two-dimensional vector space gives an interpretation of the quotient set $\Gamma_0(N)\backslash\mathrm{PSL}_2(\mathbb{R})$ as the projective lattices $N$-hyperdistant from a reference one, and hence as the projective line over the ring… CONTINUE READING