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On the subgroup structure of the hyperoctahedral group in six dimensions
Author(s) -
Zappa Emilio,
Dykeman Eric C.,
Twarock Reidun
Publication year - 2014
Publication title -
acta crystallographica section a
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.742
H-Index - 83
ISSN - 2053-2733
DOI - 10.1107/s2053273314007712
Subject(s) - icosahedral symmetry , group (periodic table) , mathematics , combinatorics , crystallography , geometry , physics , chemistry , quantum mechanics
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.