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...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | text |
| Published: |
Archīum Ateneo
2007
|
| Subjects: | |
| Online Access: | https://archium.ateneo.edu/mathematics-faculty-pubs/108 https://www.semanticscholar.org/paper/On-index-2-subgroups-of-hyperbolic-symmetry-groups-Peñas-Felix/4a99bc1f5e73f193630807bd7198dd80e957072a |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Ateneo De Manila University |
| Summary: | 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. |
|---|