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请教

Posted by pladene at 2003-11-20 18:17:16 on Problem 1286
这题我用的Burnside定理,当n是偶数的时候算出来不对。以n = 4为例。
有(1)四个旋转置换,(2)两个对角线置换和(3)两个对边中点连线的对称置换
|G| = 8;
(1) 81 + 3 + 3 + 3 = 90;
(2) 2*3*3*3 = 54;
(3) 2*3*3 = 18;
(1)+(2)+(3)
90 + 54 + 18 = 162.为什么不是8的倍数啊?

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