On the subgroup structure of the hyperoctahedral group in six dimensions

Author:

Zappa Emilio,Dykeman Eric C.,Twarock Reidun

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.

Publisher

International Union of Crystallography (IUCr)

Subject

Inorganic Chemistry,Physical and Theoretical Chemistry,Condensed Matter Physics,General Materials Science,Biochemistry,Structural Biology

Reference26 articles.

1. Artin, M. (1991). Algebra. New York: Prentice Hall.

2. Structure and representations of the hyperoctahedral group

3. Baake, M. & Grimm, U. (2013). Aperiodic Order, Vol. 1. Cambridge University Press.

4. Cvetkovic, D., Doob, M. & Sachs, H. (1995). Spectra of Graphs. Heidelberg, Leipzig: Johann Ambrosius Barth.

5. Foulds, L. (1992). Graph Theory Applications. New York: Springer-Verlag.

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