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Selected Works of Ma. Louise Antonette De Las Peñas
Article
Enumeration of index 3 and 4 subgroups of hyperbolic triangle symmetry groups
Mathematics Faculty Publications
  • Ma. Louise Antonette N De Las Peñas, Ateneo de Manila University
  • Rene P Felix, University of the Philippines Diliman
  • Ma. Carlotta B Decena
Link
Document Type
Article
Publication Date
1-1-2008
Disciplines
Abstract

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] on index 2 subgroups of hyperbolic symmetry groups.

Citation Information
De Las Penas, M. N., Felix, R. P., & Decena, M. B. (2008). Enumeration of index 3 and 4 subgroups of hyperbolic triangle symmetry groups, Zeitschrift für Kristallographie - Crystalline Materials, 223(9), 543-551. doi: https://doi.org/10.1524/zkri.2008.1022