English

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

Complex Variables 2013-04-09 v2 Group Theory

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 PU(3,1;Z[ω3])\mathbf{PU}(3,1;\mathbb{Z}[\omega_3]) in three complex dimensions can be generated by four given transformations.

Cite

@article{arxiv.1111.6796,
  title  = {Generators of Eisenstein--Picard modular group in three complex dimensions},
  author = {Bao-Hua Xie and Jie-Yan Wang and Yue-Ping Jiang},
  journal= {arXiv preprint arXiv:1111.6796},
  year   = {2013}
}

Comments

8 pages

R2 v1 2026-06-21T19:43:13.753Z