Generators of Eisenstein--Picard modular group in three complex dimensions

preprint2013arXivOpen access

Little is known about the generators system of the higher dimensional Picard modular groups. In this paper, we prove that the higher dimensional Eisenstein--Picard modular group $\mathbf{PU}(3,1;\mathbb{Z}[ω_3])$ in three complex dimensions can be generated by four given transformations.

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Generators of Eisenstein--Picard modular group in three complex dimensions

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