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
• 格式: text
• 出版: Archīum Ateneo 2008
• 主題: Hyperbolic symmetry groups; Index 3 and 4 subgroups of triangle groups; Color symmetry; Perfect colorings; Mathematics
• 在線閱讀: https://archium.ateneo.edu/mathematics-faculty-pubs/105; https://www.degruyter.com/view/journals/zkri/223/9/article-p543.xml

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...