| 有限循环群同态的结构研究 |
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| 引用本文： | 屈寅春.有限循环群同态的结构研究[J].安庆师范学院学报(自然科学版),2010,16(3):29-31. |
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| 作者姓名： | 屈寅春 |
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| 作者单位： | 无锡职业技术学院,江苏,无锡,214073 |
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| 摘 要： | 本文利用抽象代数的基本理论,结合初等数论的有关知识,对两个有限循环群之间存在的所有同态映射进行了分类研究,给出并证明了计算其总数的一个数学公式。
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| 关 键 词： | 有限循环群 生成元 群同态基本定理 拉格朗日定理 欧拉函数 |
Frame Research for Finite Cyclic Group Homomorphism |
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| QU Yin-chun.Frame Research for Finite Cyclic Group Homomorphism[J].Journal of Anqing Teachers College(Natural Science Edition),2010,16(3):29-31. |
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| Authors: | QU Yin-chun |
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| Institution: | QU Yin-chun(Wuxi Vocational , Technical College,Wuxi 214073,China) |
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| Abstract: | The aim of this paper is to investigate all the homomorphic mappings between two finite cyclic groups by using the theories of Abstract algebra and the knowledge of elementary number theory.We also give the classification of all the homomorphisms and a formula to calculate the total numbers. |
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| Keywords: | finite cyclic group generator homomorphism fundamental theorem for groups Lagrange theorem Euler function |
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