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On the subgroup structure of the hyperoctahedral group in six dimensions

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JournalActa crystallographica. Section A, Foundations and advances
DateE-pub ahead of print - 10 Jul 2014
DatePublished (current) - Sep 2014
Issue number5
Volume70
Number of pages12
Pages (from-to)417-428
Early online date10/07/14
Original languageEnglish

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.

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