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- Title
On the geometry of a Picard modular group.
- Authors
Deraux, Martin
- Abstract
We study geometric properties of the action on the complex hyperbolic plane H²C of the Picard modular group Γ = PU(2,1,O7), where O7 denotes the ring of algebraic integers in Q(...). We list conjugacy classes of maximal finite subgroups in Γ and give an explicit description of the Fuchsian subgroups that occur as stabilizers of mirrors of complex reflections in Γ. As an application, we describe an explicit torsion-free subgroup of index 336 in Γ.
- Subjects
MODULAR groups; PICARD groups; RING theory; MAXIMAL subgroups; GEOMETRY; HYPERBOLIC groups; CONJUGACY classes
- Publication
Groups, Geometry & Dynamics, 2023, Vol 17, Issue 4, p1393
- ISSN
1661-7207
- Publication type
Article
- DOI
10.4171/GGD/734