On subgroups of crystallographic Coxeter groups

A framework is presented based on color symmetry theory that will facilitate the determination of the subgroup structure of a crystallographic Coxeter group. It is shown that the method may be extended to characterize torsion-free subgroups. The approach is to treat these groups as groups of symmetr...

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Main Authors:	Miro, Eden Delight, De Las Peñas, Ma. Louise Antonette N, Felix, Rene P
Format:	text
Published:	Archīum Ateneo 2013
Subjects:	crystallographic Coxeter groups crystallographic groups subgroups of crystallographic groups torsion-free subgroups color symmetry Geometry and Topology Mathematics
Online Access:	https://archium.ateneo.edu/mathematics-faculty-pubs/31 http://scripts.iucr.org/cgi-bin/paper?S010876731301283X
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Institution:	Ateneo De Manila University

id	ph-ateneo-arc.mathematics-faculty-pubs-1030
record_format	eprints
spelling	ph-ateneo-arc.mathematics-faculty-pubs-10302020-06-27T02:09:22Z On subgroups of crystallographic Coxeter groups Miro, Eden Delight De Las Peñas, Ma. Louise Antonette N Felix, Rene P A framework is presented based on color symmetry theory that will facilitate the determination of the subgroup structure of a crystallographic Coxeter group. It is shown that the method may be extended to characterize torsion-free subgroups. The approach is to treat these groups as groups of symmetries of tessellations in space by fundamental polyhedra. 2013-06-18T07:00:00Z text application/pdf https://archium.ateneo.edu/mathematics-faculty-pubs/31 http://scripts.iucr.org/cgi-bin/paper?S010876731301283X Mathematics Faculty Publications Archīum Ateneo crystallographic Coxeter groups crystallographic groups subgroups of crystallographic groups torsion-free subgroups color symmetry Geometry and Topology 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	crystallographic Coxeter groups crystallographic groups subgroups of crystallographic groups torsion-free subgroups color symmetry Geometry and Topology Mathematics
spellingShingle	crystallographic Coxeter groups crystallographic groups subgroups of crystallographic groups torsion-free subgroups color symmetry Geometry and Topology Mathematics Miro, Eden Delight De Las Peñas, Ma. Louise Antonette N Felix, Rene P On subgroups of crystallographic Coxeter groups
description	A framework is presented based on color symmetry theory that will facilitate the determination of the subgroup structure of a crystallographic Coxeter group. It is shown that the method may be extended to characterize torsion-free subgroups. The approach is to treat these groups as groups of symmetries of tessellations in space by fundamental polyhedra.
format	text
author	Miro, Eden Delight De Las Peñas, Ma. Louise Antonette N Felix, Rene P
author_facet	Miro, Eden Delight De Las Peñas, Ma. Louise Antonette N Felix, Rene P
author_sort	Miro, Eden Delight
title	On subgroups of crystallographic Coxeter groups
title_short	On subgroups of crystallographic Coxeter groups
title_full	On subgroups of crystallographic Coxeter groups
title_fullStr	On subgroups of crystallographic Coxeter groups
title_full_unstemmed	On subgroups of crystallographic Coxeter groups
title_sort	on subgroups of crystallographic coxeter groups
publisher	Archīum Ateneo
publishDate	2013
url	https://archium.ateneo.edu/mathematics-faculty-pubs/31 http://scripts.iucr.org/cgi-bin/paper?S010876731301283X
_version_	1724079163528183808

On subgroups of crystallographic Coxeter groups

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