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Generators of Eisenstein--Picard modular group in three complex dimensions
Published 29 Nov 2011 in math.CV and math.GR | (1111.6796v2)
Abstract: 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 $\mathbf{PU}(3,1;\mathbb{Z}[\omega_3])$ in three complex dimensions can be generated by four given transformations.
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