Enumeration of index 3 and 4 subgroups of hyperbolic triangle symmetry groups

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...

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Main Authors:	De Las Peñas, Ma. Louise Antonette N, Felix, Rene P, Decena, Ma. Carlotta B
Format:	text
Published:	Archīum Ateneo 2008
Subjects:	Hyperbolic symmetry groups Index 3 and 4 subgroups of triangle groups Color symmetry Perfect colorings Mathematics
Online Access:	https://archium.ateneo.edu/mathematics-faculty-pubs/105 https://www.degruyter.com/view/journals/zkri/223/9/article-p543.xml
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Institution:	Ateneo De Manila University

id	ph-ateneo-arc.mathematics-faculty-pubs-1104
record_format	eprints
spelling	ph-ateneo-arc.mathematics-faculty-pubs-11042022-03-18T04:10:08Z Enumeration of index 3 and 4 subgroups of hyperbolic triangle symmetry groups De Las Peñas, Ma. Louise Antonette N Felix, Rene P Decena, Ma. Carlotta B 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. 2008-01-01T08:00:00Z text https://archium.ateneo.edu/mathematics-faculty-pubs/105 https://www.degruyter.com/view/journals/zkri/223/9/article-p543.xml Mathematics Faculty Publications Archīum Ateneo Hyperbolic symmetry groups Index 3 and 4 subgroups of triangle groups Color symmetry Perfect colorings Mathematics
institution	Ateneo De Manila University
building	Ateneo De Manila University Library
continent	Asia
country	Philippines Philippines
content_provider	Ateneo De Manila University Library
collection	archium.Ateneo Institutional Repository
topic	Hyperbolic symmetry groups Index 3 and 4 subgroups of triangle groups Color symmetry Perfect colorings Mathematics
spellingShingle	Hyperbolic symmetry groups Index 3 and 4 subgroups of triangle groups Color symmetry Perfect colorings Mathematics De Las Peñas, Ma. Louise Antonette N Felix, Rene P Decena, Ma. Carlotta B Enumeration of index 3 and 4 subgroups of hyperbolic triangle symmetry groups
description	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.
format	text
author	De Las Peñas, Ma. Louise Antonette N Felix, Rene P Decena, Ma. Carlotta B
author_facet	De Las Peñas, Ma. Louise Antonette N Felix, Rene P Decena, Ma. Carlotta B
author_sort	De Las Peñas, Ma. Louise Antonette N
title	Enumeration of index 3 and 4 subgroups of hyperbolic triangle symmetry groups
title_short	Enumeration of index 3 and 4 subgroups of hyperbolic triangle symmetry groups
title_full	Enumeration of index 3 and 4 subgroups of hyperbolic triangle symmetry groups
title_fullStr	Enumeration of index 3 and 4 subgroups of hyperbolic triangle symmetry groups
title_full_unstemmed	Enumeration of index 3 and 4 subgroups of hyperbolic triangle symmetry groups
title_sort	enumeration of index 3 and 4 subgroups of hyperbolic triangle symmetry groups
publisher	Archīum Ateneo
publishDate	2008
url	https://archium.ateneo.edu/mathematics-faculty-pubs/105 https://www.degruyter.com/view/journals/zkri/223/9/article-p543.xml
_version_	1728621298546900992

Enumeration of index 3 and 4 subgroups of hyperbolic triangle symmetry groups

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