Enumeration of index 3 and 4 subgroups of hyperbolic triangle symmetry groups

• Main Authors: De Las Peñas, Ma. Louise Antonette N, Felix, Rene P, Decena, Ma. Carlotta B
• Format: text
• Published: Archīum Ateneo 2008
• Subjects: Hyperbolic symmetry groups; Index 3 and 4 subgroups of triangle groups; Color symmetry; Perfect colorings; Mathematics
• Online Access: https://archium.ateneo.edu/mathematics-faculty-pubs/105; https://www.degruyter.com/view/journals/zkri/223/9/article-p543.xml
• Institution: Ateneo De Manila University

This paper explores the area of crystallography on the hyperbolic plane, in particular the study of the subgroup structure of hyperbolic symmetry groups. In this work, the index 3 and 4 subgroups of triangle groups are derived, using color symmetry theory. This paper continues the work started in [7...