| 再论Mobius变换中的n阶循环群判据 |
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| 引用本文： | 甘欣荣,钟寿国.再论Mobius变换中的n阶循环群判据[J].浙江大学学报(理学版),2014,41(3):245-248. |
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| 作者姓名： | 甘欣荣 钟寿国 |
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| 作者单位： | [1]武汉科技大学理学院,湖北武汉430065 [2]武汉大学数学与统计学院,湖北武汉430072 |
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| 基金项目： | 基金项目：湖北省教育厅科研计划重点项目（D20111110）. |
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| 摘 要： | 用二阶方阵的幂运算取代Mobius变换的迭代运算，导出了Mobius变换为n阶循环群的判据，并对判据进行了简化，最后给出了它们的应用.
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| 关 键 词： | 循环群 Mobius变换 互质多项式组 判据 |
| 收稿时间： | 2012-12-04; |
Re-discussion on n-order circle group criterion of Mobius transformation |
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| GAN Xinrong,ZHONG Shouguo.Re-discussion on n-order circle group criterion of Mobius transformation[J].Journal of Zhejiang University(Sciences Edition),2014,41(3):245-248. |
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| Authors: | GAN Xinrong ZHONG Shouguo |
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| Institution: | 1. Wuhan University of Science ＆ Technology, Wuhan 430065, China; 2. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China) |
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| Abstract: | Replacing iterativc computation of MObius transformation （MT） by computation of power of 2 × 2 square matrix, we obtain the criterions that MT becomes a cyclic mapping of order n, then simplify the conditions in these criterions and give their applications. |
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| Keywords: | cycle group Mobius transform nation system of relatively prime polynomial criterion |
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