Zappa, Emilio, Dykeman, Eric C and Twarock, Reidun orcid.org/0000-0002-1824-2003 (2014) On the subgroup structure of the hyperoctahedral group in six dimensions. Acta crystallographica. Section A, Foundations and advances. pp. 417-428. ISSN 2053-2733
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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Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | 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. |
Dates: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) The University of York > Faculty of Sciences (York) > Biology (York) |
Funding Information: | Funder Grant number EPSRC EP/K028286/1 |
Depositing User: | Pure (York) |
Date Deposited: | 26 Feb 2015 12:41 |
Last Modified: | 16 Oct 2024 12:27 |
Published Version: | https://doi.org/10.1107/S2053273314007712 |
Status: | Published |
Refereed: | Yes |
Identification Number: | 10.1107/S2053273314007712 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:83826 |
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Description: On the subgroup structure of the hyperoctahedral group in six dimensions