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

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

2011-11-29

arxiv.org/abs/1111.6796v1

Mathematics

Complex Variables

8 pages

Scientific paper

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 $\mathbf{SU}(3,1;\mathbb{Z}[\omega_3])$ in three complex dimensions can be generated by eight given transformations by using a similar method described in Falbel et.al [Proc. Amer. Math. Soc. 139: 2439-2447, 2011].

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