置换群例题
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置换群例题. 1 2 3. 例 等边三角形的运动群。 绕中心转动 120 ,不动, 绕对称轴翻转。 P 1 =( ),P 2 =( ),P 3 =( ),P 4 =( ), P 5 =( ),P 6 =( ) 。 [1,n] 上的所有置换 ( 共 n! 个 ) 构成一个群,称为对称群,记做 S n .

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置换群例题

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例 等边三角形的运动群。 绕中心转动120,不动, 绕对称轴翻转。 P1=( ),P2=( ),P3=( ),P4=( ), P5=( ),P6=( )。 [1,n]上的所有置换(共n!个)构成一个群,称为对称群,记做Sn.

  • 注意:一般说[1,n]上的一个置换群,不一定是指Sn.但一定是Sn的某一个子群。

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