On the subgroup structure of the hyperoctahedral group in six dimensions

DOI10.1107/S2053273314007712zbMath1341.20055arXiv1402.3136WikidataQ42930756 ScholiaQ42930756MaRDI QIDQ2808949

Eric C. Dykeman, Emilio Zappa, Reidun Twarock

Publication date: 27 May 2016

Published in: Acta Crystallographica Section A Foundations and Advances (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.3136

zbMATH Keywords

symmetry groupssubgroupsspectral graph theoryhyperoctahedral groupsicosahedral groupscrystallographic representations

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Other geometric groups, including crystallographic groups (20H15)

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Orbits of crystallographic embedding of non-crystallographic groups and applications to virology

Uses Software

• GAP

Cites Work

• A crystallographic approach to structural transitions in icosahedral viruses
• Graph theory applications
• Shapes and cycles arising at the steady bifurcation with icosahedral symmetry
• Twenty years of structure research on quasicrystals. Part I. Pentagonal, octagonal, decagonal and dodecagonal quasicrystals
• Structure and representations of the hyperoctahedral group
• Continuous rotation from cubic to icosahedral order
• Matrix Analysis
• Structural transformations in quasicrystals induced by higher dimensional lattice transitions
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