| Fitting集与根函数 |
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| 引用本文： | 高锐敏,赵白云,王长群.Fitting集与根函数[J].河南科学,2011,29(8):895-898. |
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| 作者姓名： | 高锐敏 赵白云 王长群 |
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| 作者单位： | 1. 河南商业高等专科学校基础部,郑州,450044
2. 郑州大学数学系,郑州,450052 |
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| 基金项目： | 国家自然科学基金资助项目(60772036,10571013) |
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| 摘 要： | 群类理论是在有限可解群研究工作的基础上发展起来的,但近年来对有限群论的许多方面都起到越来越大的作用.Fitting类是重要群类之一.为了更深入地研究Fitting类,主要研究了Fitting集所具有的性质,用构造的方法证明了Fitting集与根函数之间可以建立一个一一对应的关系,证明了两个根函数的合成依然是根函数,并刻...
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| 关 键 词： | 有限群 Fitting集 根函数 正规子群 次正规子群 |
Fitting Set and Root Function |
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| Gao Ruimin,Zhao Baiyun,Wang Changqun.Fitting Set and Root Function[J].Henan Science,2011,29(8):895-898. |
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| Authors: | Gao Ruimin Zhao Baiyun Wang Changqun |
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| Institution: | Gao Ruimin1,Zhao Baiyun1,Wang Changqun2(1.Department of Basic,Henan Business College,Zhengzhou 450044,China,2.Department of Mathematics,Zhengzhou University,Zhengzhou 450052,China) |
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| Abstract: | The theories of group classes developed on the foundation of research of finite solvable groups,yet resent years they play more and more important role for the finite group theory in general.fitting class is one of the important group classes.For studying fitting classt,his paper investigates the property of fitting set,and constructs a one-to-one correspondence between fitting set and root functioni,t also proves the product of two root function is root function stills,cores the fitting set related to the ... |
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| Keywords: | finite group Fitting set root function normal subgroup subnormal subgroup |
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