Generators of a Picard modular group in two complex dimensions

Falbel, Elisha; Francsics, Gabor; Lax, Peter D; Parker, John R

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.

Citation

Falbel, E., Francsics, G., Lax, P. D., & Parker, J. R. (2011). Generators of a Picard modular group in two complex dimensions. Proceedings of the American Mathematical Society, 139, 2439-2447. https://doi.org/10.1090/s0002-9939-2010-10653-6

• Journal Article Type: Article
• Publication Date: Jan 1, 2011
• Deposit Date: May 26, 2011
• Publicly Available Date: Jun 9, 2011
• Journal: Proceedings of the American Mathematical Society
• Print ISSN: 0002-9939
• Electronic ISSN: 1088-6826
• Publisher: American Mathematical Society
• Peer Reviewed: Peer Reviewed
• Volume: 139
• Pages: 2439-2447
• DOI: https://doi.org/10.1090/s0002-9939-2010-10653-6
• Public URL: https://durham-repository.worktribe.com/output/1508162