Generators of a Picard modular group in two complex dimensions

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.

10 pages

References in corpus (2)

• Complex hyperbolic triangle groups
• An explicit fundamental domain for the Picard modular group in two complex dimensions