English

On Thin Heckoid and Generalised Triangle Groups in $PSL(2,\mathbb{C})$}

Group Theory 2024-09-09 v1 Complex Variables

Abstract

We provide a brief overview of our upcoming work identifying all the thin Heckoid groups in PSL(2,C)PSL(2,\mathbb{C}). Here we give a complete list of the 5555 thin generalised triangle groups of slope 1/21/2. This work was presented at the conference Computational Aspects of Thin Groups, IMSS, Singapore and presents an application of joint work initiated with Colin Maclachlan

Cite

@article{arxiv.2409.04438,
  title  = {On Thin Heckoid and Generalised Triangle Groups in $PSL(2,\mathbb{C})$}},
  author = {Alex Elzenaar and Gaven Martin and Jeroen Schillewaert},
  journal= {arXiv preprint arXiv:2409.04438},
  year   = {2024}
}
R2 v1 2026-06-28T18:36:44.510Z