Generators of the Gauss-Picard modular groups in three complex dimensions

Published 8 Jul 2013 in math.CV and math.GR | (1307.2113v1)

Abstract: In this paper, we prove that the Gauss--Picard modular group PU(3,1;Z[i])in three complex dimensions can be generated by five given transformations: two Heisenberg translations, two Heisenberg rotations and an involution. Indeed, our method may work for the other higher dimensional Euclidean--Picard modular groups.

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