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Fn2上的正形置换

DOI: 10.13190/jbupt.200601.115.changzl, PP. 115-118

Keywords: 置换,正形置换,若当标准型

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Abstract:

讨论了正形置换的构造和性质,并分析了正形置换的幂次是否仍是正形置换.对于线性正形置换,根据矩阵标准型的性质,只要整数i不能被这个正形置换对应矩阵的极小多项式的各个根的阶整除,则这个线性正形置换的i次幂仍是线性正形置换.对于非线性正形置换,给出了有用的结果.

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