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

2011/11/29 by Baohua Xie, Xie, Bao-Hua, Jieyan Wang +3
Mathematics · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Complex Variables (math.CV) #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.1111.6796

openalex publication_date 2011/11/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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]) in three complex dimensions can be generated by four given transformations.

Related

• Generators of the Gauss-Picard modular groups in three complex dimensions
• Generators of Picard modular groups
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• Generators of the sister of Euclidean Picard modular group
• Generators for the Euclidean Picard Modular Groups