English

The Farey Maps Modulo N

Group Theory 2018-03-26 v1 Combinatorics Number Theory

Abstract

The Farey map is the universal triangular map whose automorphism group is the classical modular group. We study the quotients of the Farey map by the principal congruence subgroups of the modular group. We also study the structure of the underlying graphs of these quotients.

Cite

@article{arxiv.1803.08851,
  title  = {The Farey Maps Modulo N},
  author = {David Singerman and James Strudwick},
  journal= {arXiv preprint arXiv:1803.08851},
  year   = {2018}
}

Comments

14 pages, 5 figures

R2 v1 2026-06-23T01:03:13.134Z