On the subgroup structure of the hyperoctahedral group in six dimensions

The subgroup structure of the hyperoctahedral group in six dimensions is investigated. In particular, the subgroups isomorphic to the icosahedral group are studied. The orthogonal crystallographic representations of the icosahedral group are classified and their intersections and subgroups analysed,...

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Detalles Bibliográficos
Autores principales: Zappa, Emilio, Dykeman, Eric C., Twarock, Reidun
Formato: Online Artículo Texto
Lenguaje:English
Publicado: International Union of Crystallography 2014
Materias:
Research Papers
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4186354/
https://www.ncbi.nlm.nih.gov/pubmed/25176990
http://dx.doi.org/10.1107/S2053273314007712
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author Zappa, Emilio
Dykeman, Eric C.
Twarock, Reidun
author_facet Zappa, Emilio
Dykeman, Eric C.
Twarock, Reidun
author_sort Zappa, Emilio
collection PubMed
description The subgroup structure of the hyperoctahedral group in six dimensions is investigated. In particular, the subgroups isomorphic to the icosahedral group are studied. The orthogonal crystallographic representations of the icosahedral group are classified and their intersections and subgroups analysed, using results from graph theory and their spectra.
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spelling pubmed-41863542014-10-07 On the subgroup structure of the hyperoctahedral group in six dimensions Zappa, Emilio Dykeman, Eric C. Twarock, Reidun Acta Crystallogr A Found Adv Research Papers The subgroup structure of the hyperoctahedral group in six dimensions is investigated. In particular, the subgroups isomorphic to the icosahedral group are studied. The orthogonal crystallographic representations of the icosahedral group are classified and their intersections and subgroups analysed, using results from graph theory and their spectra. International Union of Crystallography 2014-07-10 /pmc/articles/PMC4186354/ /pubmed/25176990 http://dx.doi.org/10.1107/S2053273314007712 Text en © Emilio Zappa et al. 2014 http://creativecommons.org/licenses/by/2.0/uk/ This is an open-access article distributed under the terms of the Creative Commons Attribution Licence, which permits unrestricted use, distribution, and reproduction in any medium, provided the original authors and source are cited.
spellingShingle Research Papers
Zappa, Emilio
Dykeman, Eric C.
Twarock, Reidun
On the subgroup structure of the hyperoctahedral group in six dimensions
title On the subgroup structure of the hyperoctahedral group in six dimensions
title_full On the subgroup structure of the hyperoctahedral group in six dimensions
title_fullStr On the subgroup structure of the hyperoctahedral group in six dimensions
title_full_unstemmed On the subgroup structure of the hyperoctahedral group in six dimensions
title_short On the subgroup structure of the hyperoctahedral group in six dimensions
title_sort on the subgroup structure of the hyperoctahedral group in six dimensions
topic Research Papers
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4186354/
https://www.ncbi.nlm.nih.gov/pubmed/25176990
http://dx.doi.org/10.1107/S2053273314007712
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