On the subgroup structure of the hyperoctahedral group in six dimensions

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Abstract

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.

Original languageEnglish
Pages (from-to)417-428
Number of pages12
JournalActa crystallographica. Section A, Foundations and advances
Volume70
Issue number5
Early online date10 Jul 2014
DOIs
Publication statusPublished - Sep 2014

Bibliographical note

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