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On index 2 subgroups of hyperbolic symmetry groups
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Ma. Louise Antonette N. De Las Peñas
Published/Copyright:
September 25, 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
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Received: 2007-January-04
Accepted: 2007-April-20
Published Online: 2009-09-25
Published in Print: 2007-08
© Oldenbourg Wissenschaftsverlag
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