Artikel
Lizenziert
Nicht lizenziert
Erfordert eine Authentifizierung
On index 2 subgroups of hyperbolic symmetry groups
-
Ma. Louise Antonette N. De Las Peñas
Veröffentlicht/Copyright:
25. September 2009
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.
: Hyperbolic symmetry groups; Hyperbolic triangle groups; Index 2 subgroups of hyperbolic triangle groups; Black and white tilings
:
Received: 2007-January-04
Accepted: 2007-April-20
Published Online: 2009-09-25
Published in Print: 2007-08
© Oldenbourg Wissenschaftsverlag
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Artikel in diesem Heft
- On index 2 subgroups of hyperbolic symmetry groups
- First-principles calculation of vibrational frequencies for monoclinic tribismuth borate BiB3O6
- Evolution of the structure, microstructure and physical properties of RuSr2GdCu2O8 as a function of the thermal treatment
- Crystal chemistry of GdScO3, DyScO3, SmScO3 and NdScO3
- The crystal structure of podlesnoite, BaCa2(CO3)2F2
- The significance of the Jahn-Teller effect for the phase transitions of K2NbCl6 and Rb2NbCl6
- A structural investigation of the four phases of 7-oxabicyclo[2.2.1]heptane
- New solvated form of the antibiotic azithromycin. Clues about the role of the water retained inside the crystal
- Structure and thermal decomposition of μ-1,1-azido bridged dinuclear Fe(III) complexes
Artikel in diesem Heft
- On index 2 subgroups of hyperbolic symmetry groups
- First-principles calculation of vibrational frequencies for monoclinic tribismuth borate BiB3O6
- Evolution of the structure, microstructure and physical properties of RuSr2GdCu2O8 as a function of the thermal treatment
- Crystal chemistry of GdScO3, DyScO3, SmScO3 and NdScO3
- The crystal structure of podlesnoite, BaCa2(CO3)2F2
- The significance of the Jahn-Teller effect for the phase transitions of K2NbCl6 and Rb2NbCl6
- A structural investigation of the four phases of 7-oxabicyclo[2.2.1]heptane
- New solvated form of the antibiotic azithromycin. Clues about the role of the water retained inside the crystal
- Structure and thermal decomposition of μ-1,1-azido bridged dinuclear Fe(III) complexes
