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稳定子群(stability subgroup )是正多面体旋转群的概念,属于正交变换。例如正四面体有四个稳定子群,每个子群中有三个旋转元,分别是以一个顶点到对面三角形中心点所在直线为轴,旋转120、240和id。所以|G4|=12。根据此群可以进行同构的判定,多面体的分类。
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