Quaternionic Kleinian modular groups and arithmetic hyperbolic orbifolds\n over the quaternions

2015/03/24 by Juan Pablo Díaz, Díaz, Juan Pablo, Alberto Verjovsky +3
Mathematics · #11F06 #30F45 #57S30 #Advanced Algebra and Geometry #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Primary 20H10 #Secondary 30G35

paper · pdf · doi:10.48550/arxiv.1503.07214

openalex publication_date 2015/03/24 · openalex created_date 2022/09/25 · openalex updated_date 2026/07/28

Abstract

Using the rings of Lipschitz and Hurwitz integers \ℍ(\ℤ)\nand \ℍur(\ℤ) in the quaternion division algebra \ℍ,\nwe define several Kleinian discrete subgroups of PSL(2,\ℍ)\n

Related

• Arithmetic of Quaternion Groups
• Subgroups of Division Rings
• Counting and equidistribution in quaternionic Heisenberg groups
• Picard modular groups generated by complex reflections
• The Geometry and Arithmetic of Kleinian Groups