欧氏变换群

Euclidean Transformation Group

以不动点为线索来研究欧氏变换群的所有有限子群,得出欧氏变换群有两种有限子群,即同构于模n剩余类群和同构于二面体群的结论。

We use the fixed point as a clue to study Euclidean transformation group of all limited subgroup. In conclusion, the entire subgroups of Euclidean transformation group can be divided into two kinds, one of them is isomorphs to residue class group module N, the other is isomorphs to dihedral group.