关于六维超八面体群的子群结构
On the subgroup structure of the hyperoctahedral group in six dimensions
摘要：
研究了超八面体群在六维空间中的子群结构。特别地，我们研究了同构于二十面体群的子群。利用图论的结果和它们的光谱，我们对二十面体群的正交晶体学表示进行了分类，并分析了它们的交叉点和子群。
英文摘要：
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.
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