Torsion in 1-cusped Picard modular groups
Algebraic Geometry
2022-11-22 v3 Differential Geometry
Geometric Topology
Abstract
We present a systematic effective method to construct coarse fundamental domains for the action of the Picard modular groups where has class number one, i.e. . The computations can be performed quickly up to the value . As an application of this method, we classify conjugacy classes of torsion elements, deduce short presentations for the groups, and construct neat subgroups of small index.
Cite
@article{arxiv.2205.03037,
title = {Torsion in 1-cusped Picard modular groups},
author = {Martin Deraux and Mengmeng Xu},
journal= {arXiv preprint arXiv:2205.03037},
year = {2022}
}