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arXiv · 0911.1104

Generators of a Picard modular group in two complex dimensions

E. Falbel·G. Francsics·P. D. Lax·J. R. Parker
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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.

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E. Falbel, G. Francsics, P. D. Lax, J. R. Parker. 2009-11-05. Generators of a Picard modular group in two complex dimensions. https://arxiv.org/abs/0911.1104

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