On Index 2 Subgroups of Hyperbolic Symmetry Groups
Subgroups of crystallographic groups play an important role in many branches of mathematics, physics and crystallography such as representation theory, the theories of phase transitions, manifolds and in the comparative study of crystal structures [14]. In this work, the index 2 subgroups of a huge...
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2007
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ph-ateneo-arc.mathematics-faculty-pubs-11072020-06-27T02:19:31Z On Index 2 Subgroups of Hyperbolic Symmetry Groups De Las Peñas, Ma. Louise Antonette N Felix, Rene P Miro, Eden Delight Subgroups of crystallographic groups play an important role in many branches of mathematics, physics and crystallography such as representation theory, the theories of phase transitions, manifolds and in the comparative study of crystal structures [14]. In this work, the index 2 subgroups of a huge family of crystallographic groups called triangle groups are derived using black and white tilings. The focus of the work will be in determining the index 2 subgroups of triangle groups in the hyperbolic plane. 2007-01-01T08:00:00Z text https://archium.ateneo.edu/mathematics-faculty-pubs/108 https://www.semanticscholar.org/paper/On-index-2-subgroups-of-hyperbolic-symmetry-groups-Peñas-Felix/4a99bc1f5e73f193630807bd7198dd80e957072a Mathematics Faculty Publications Archīum Ateneo Mathematics |
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Mathematics De Las Peñas, Ma. Louise Antonette N Felix, Rene P Miro, Eden Delight On Index 2 Subgroups of Hyperbolic Symmetry Groups |
| description |
Subgroups of crystallographic groups play an important role in many branches of mathematics, physics and crystallography such as representation theory, the theories of phase transitions, manifolds and in the comparative study of crystal structures [14]. In this work, the index 2 subgroups of a huge family of crystallographic groups called triangle groups are derived using black and white tilings. The focus of the work will be in determining the index 2 subgroups of triangle groups in the hyperbolic plane. |
| format |
text |
| author |
De Las Peñas, Ma. Louise Antonette N Felix, Rene P Miro, Eden Delight |
| author_facet |
De Las Peñas, Ma. Louise Antonette N Felix, Rene P Miro, Eden Delight |
| author_sort |
De Las Peñas, Ma. Louise Antonette N |
| title |
On Index 2 Subgroups of Hyperbolic Symmetry Groups |
| title_short |
On Index 2 Subgroups of Hyperbolic Symmetry Groups |
| title_full |
On Index 2 Subgroups of Hyperbolic Symmetry Groups |
| title_fullStr |
On Index 2 Subgroups of Hyperbolic Symmetry Groups |
| title_full_unstemmed |
On Index 2 Subgroups of Hyperbolic Symmetry Groups |
| title_sort |
on index 2 subgroups of hyperbolic symmetry groups |
| publisher |
Archīum Ateneo |
| publishDate |
2007 |
| url |
https://archium.ateneo.edu/mathematics-faculty-pubs/108 https://www.semanticscholar.org/paper/On-index-2-subgroups-of-hyperbolic-symmetry-groups-Peñas-Felix/4a99bc1f5e73f193630807bd7198dd80e957072a |
| _version_ |
1724079164909158400 |