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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Main Authors: De Las Peñas, Ma. Louise Antonette N, Felix, Rene P, Miro, Eden Delight
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出版: Archīum Ateneo 2007
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在線閱讀:https://archium.ateneo.edu/mathematics-faculty-pubs/108
https://www.semanticscholar.org/paper/On-index-2-subgroups-of-hyperbolic-symmetry-groups-Peñas-Felix/4a99bc1f5e73f193630807bd7198dd80e957072a
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spelling 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
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 Mathematics
spellingShingle 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
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