On subgroups of hyperbolic tetrahedral Coxeter groups

• Main Authors: De Las Peñas, Ma. Louise Antonette N, Felix, Rene P, Laigo, Glenn R
• Format: text
• Published: Archīum Ateneo 2010
• Subjects: Coxeter tetrahedra; Color symmetry; Tetrahedral coxeter groups; Tetrahedral Kleinian groups; Algebraic Geometry; Mathematics
• Online Access: https://archium.ateneo.edu/mathematics-faculty-pubs/136; https://www.degruyter.com/view/journals/zkri/225/8/article-p313.xml
• Institution: Ateneo De Manila University

In this work we address the problem on the determination of the subgroup structure of crystallographic groups in hyperbolic space by deriving the low index subgroups of hyperbolic tetrahedral Coxeter groups and tetrahedral Kleinian groups. This paper continues the work giv en in [5, 6] on the subgro...