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math.CV2013★ 2 cited
Generators of the Gauss-Picard modular groups in three complex dimensions
BaoHua Xie, JieYan Wang, YuePing Jiang
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, tw…
math.CV2010★ 2 cited
The complex hyperbolic Kleinian groups with an invariant totally geodesic submanifold
Baohua Xie
In this notes, we characterize discrete subgroups of PU(2,1), holomorphic isometric group of complex hyperbolic space, which have an invariant totally geodesic submanifold.
math.CV2010
Groups generated by two elliptic elements in PU(2,1)
Baohua Xie, Yueping Jiang
Let and be two elliptic elements in of order and respectively, where . We prove that if the distance between the complex line…