Generators of Picard modular groups
Yueping Jiang, Jieyan Wang, Baohua Xie
TL;DR
This paper extends existing methods to explicitly determine the generators of Picard modular groups for specific quadratic imaginary fields, advancing understanding of their algebraic structure.
Contribution
It introduces an extended method to find generators of Picard modular groups for d=3,7,11, which was not previously established.
Findings
Explicit generators for Picard groups with d=3,7,11 obtained.
Method successfully extended from previous work [FFLP].
Enhances understanding of algebraic and geometric properties of these groups.
Abstract
In this paper, we extend the method in [FFLP] to obtain the generators of the Picard modular groups with .
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Advanced Algebra and Geometry