On subgroups of crystallographic Coxeter groups

Authors

Eden Delight Miro, Ateneo de Manila UniversityFollow
Ma. Louise Antonette N. De Las Peñas, Ateneo de Manila UniversityFollow
Rene P. Felix, University of the Philippines Diliman

Document Type

Article

Publication Date

6-18-2013

Abstract

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 symmetries of tessellations in space by fundamental polyhedra.

Recommended Citation

Provido, E. D. B., De Las Peñas, M. A. N., & Felix, R. P. (2013). On subgroups of crystallographic Coxeter groups. Acta Crystallographica Section A: Foundations of Crystallography, 69(4), 445-451.