On the Subgroups of the Triangle Group *2p∞

• Main Authors: Miro, Eden Delight, De Las Peñas, Ma. Louise Antonette N, Decena, M C B
• Format: text
• Published: Archīum Ateneo 2012
• Subjects: triangle groups; extended Hecke groups; extended modular groups; color symmetry; Mathematics
• Online Access: https://archium.ateneo.edu/mathematics-faculty-pubs/100; https://www.worldscientific.com/doi/abs/10.1142/9789814366311_0038
• Institution: Ateneo De Manila University

In this work, we discuss the low index subgroups of the triangle group *2p∞ (also called the extended Hecke group) which were derived using tools in color symmetry theory. Moreover, we present the low index subgroups of the index 2 subgroups of the extended modular group *23∞.