On the subgroup structure of the hyperoctahedral group in six dimensions
Group Theory
2015-06-23 v2
Abstract
We investigate the subgroup structure of the hyperoctahedral group in six dimensions. In particular, we study the subgroups isomorphic to the icosahedral group. We classify the orthogonal crystallographic representations of the icosahedral group and analyse their intersections and subgroups, using results from graph theory and their spectra.
Keywords
Cite
@article{arxiv.1402.3136,
title = {On the subgroup structure of the hyperoctahedral group in six dimensions},
author = {Emilio Zappa and Eric C. Dykeman and Reidun Twarock},
journal= {arXiv preprint arXiv:1402.3136},
year = {2015}
}
Comments
28 pages, 1 figure, new version uploaded; accepted in Acta Crystallographica Section A