On subgroups of crystallographic Coxeter groups

• Main Authors: Miro, Eden Delight, De Las Peñas, Ma. Louise Antonette N, Felix, Rene P
• Format: text
• Published: Archīum Ateneo 2013
• Subjects: crystallographic Coxeter groups; crystallographic groups; subgroups of crystallographic groups; torsion-free subgroups; color symmetry; Geometry and Topology; Mathematics
• Online Access: https://archium.ateneo.edu/mathematics-faculty-pubs/31; http://scripts.iucr.org/cgi-bin/paper?S010876731301283X
• Institution: Ateneo De Manila University

A framework is presented based on color symmetry theory that will facilitate the determination of the subgroup structure of a crystallographic Coxeter group. It is shown that the method may be extended to characterize torsion-free subgroups. The approach is to treat these groups as groups of symmetr...