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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:
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
Descripción
Sumario: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.