Generators of a Picard modular group in two complex dimensions
classification
🧮 math.CV
math.MG
keywords
complexgroupmodularpicardactinganswersarticledimensional
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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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