Generators of the Gauss-Picard modular groups in three complex dimensions
Complex Variables
2013-07-09 v1 Group Theory
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.
Cite
@article{arxiv.1307.2113,
title = {Generators of the Gauss-Picard modular groups in three complex dimensions},
author = {BaoHua Xie and JieYan Wang and YuePing Jiang},
journal= {arXiv preprint arXiv:1307.2113},
year = {2013}
}
Comments
14pages,2 figures. arXiv admin note: substantial text overlap with arXiv:1111.6796; and text overlap with arXiv:1006.3331 by other authors