| 特征单群的模糊子群构造 |
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| 引用本文： | 宋明娟,王新霞.特征单群的模糊子群构造[J].模糊系统与数学,2009,23(2). |
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| 作者姓名： | 宋明娟 王新霞 |
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| 作者单位： | 黑龙江科技学院,数力系,黑龙江,哈尔滨,150027 |
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| 基金项目： | 黑龙江省教育厅科学技术研究项目 |
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| 摘 要： | 通过研究特征单群的合成群列和子群链的构造特点,得出了能够反映特征单群的模糊子群构造特征的极大Fuzzy子群的阶和等价类数以及Fuzzy子群的等价类数的公式.
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| 关 键 词： | 特征单群 等价关系 模糊子群的阶 极大模糊子群 模糊子群 合成群列 子群链 |
Structure and Construction of Fuzzy Subgroups of a Simple Characteristic Group |
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| SONG Ming-juan,WANG Xin-xia.Structure and Construction of Fuzzy Subgroups of a Simple Characteristic Group[J].Fuzzy Systems and Mathematics,2009,23(2). |
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| Authors: | SONG Ming-juan WANG Xin-xia |
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| Institution: | Department of Mathematics and Mechanics;Heilongjiang Institute of Science and Technology;Harbin 150027;China |
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| Abstract: | By means of studying the composition series and the subgroup series of a group,obtain the formulas to find the number of order and equivalent classes of maximal fuzzy subgroups and fuzzy subgroups of a simple characteristic group. |
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| Keywords: | Simple Characteristic Group Equivalent Relationship The Order of Fuzzy Subgroup Maximal Fuzzy Subgroup Fuzzy Subgroup Composition Series of a Group Subgroup Chain |
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