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On the subgroup structure of the hyperoctahedral group in six dimensions
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On the subgroup structure of the hyperoctahedral group in six dimensions
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| Journal | Acta crystallographica. Section A, Foundations and advances |
|---|---|
| Date | E-pub ahead of print - 10 Jul 2014 |
| Date | Published (current) - Sep 2014 |
| Issue number | 5 |
| Volume | 70 |
| Number of pages | 12 |
| Pages (from-to) | 417-428 |
| Early online date | 10/07/14 |
| Original language | English |
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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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.
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