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Generators of a Picard modular group in two complex dimensions

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

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Authors

Elisha Falbel

Gabor Francsics

Peter D Lax



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 Mar 28, 2024
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

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Copyright Statement
First published in Proceedings of the American Mathematical Society, volume 139, 2011 published by the American Mathematical Society. © American Mathematical Society.




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