Generators of a Picard modular group in two complex dimensions

2009/11/05 by Falbel, E., Francsics, G., Lax, P. D. +1
#32M05 (Primary) 22E40 #32M15 (Secondary) #Complex Variables (math.CV) #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.0911.1104

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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