Generators of a Picard modular group in two complex dimensions
Complex Variables
2009-11-06 v1 Metric Geometry
Abstract
The goal of the article is to prove that four explicitly given transformations, two Heisenberg translations, a rotation and an involution generate the Picard modular group with Gaussian integers acting on the two dimensional complex hyperbolic space. The result answers positively a question raised by A. Kleinschmidt and D. Persson.
Cite
@article{arxiv.0911.1104,
title = {Generators of a Picard modular group in two complex dimensions},
author = {E. Falbel and G. Francsics and P. D. Lax and J. R. Parker},
journal= {arXiv preprint arXiv:0911.1104},
year = {2009}
}
Comments
10 pages