Generators of a Picard modular group in two complex dimensions

Details Generators of a Picard modular group in two complex dimensions Generators of a Picard modular group in two complex dimensions

2009-11-05

arxiv.org/abs/0911.1104v1

Mathematics

Complex Variables

10 pages

Scientific paper

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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