| 极小弱c-正规子群对有限群结构的影响 |
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| 引用本文： | 刘熠,钟纯真,李尚莹. 极小弱c-正规子群对有限群结构的影响[J]. 内江师范学院学报, 2008, 23(6): 16-18 |
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| 作者姓名： | 刘熠 钟纯真 李尚莹 |
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| 作者单位： | 1. 四川省高等学校数值仿真重点实验室,四川,内江,641000;内江师范学院数学与信息科学院,四川,内江,641112
2. 内江师范学院监审处,四川,内江,641112 |
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| 摘 要： | 利用极小子群的弱c-正规性刻画了有限群的结构，得到了有限超可解群的若干充分条件；从群系理论出发，得到了包含超可解群类的饱和群系的充分条件，并推广了一些已知结果．
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| 关 键 词： | 弱c-正规子群 极小子群 饱和群系 超可解群系 超可解群 |
The Influence of Minimal Weakly c-normal Subgroup on the Structure of Finite Group |
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| LIU Yi,ZHONG Chun-zheng,Li Shang-yin. The Influence of Minimal Weakly c-normal Subgroup on the Structure of Finite Group[J]. Journal of Neijiang Teachers College, 2008, 23(6): 16-18 |
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| Authors: | LIU Yi ZHONG Chun-zheng Li Shang-yin |
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| Affiliation: | LIU Yi, ZHONG Chun-zheng, Li Shang-yin (1. Key Laboratory of Numerical Simulation of Sichuan Province, Neijang Normal University ,Neijiang , Sichuan 641112, Chinas 2a. College of mathematics and Information Science, 2b. Supervisory and Audit Unit, Neijiang Normal University, Neijiang, Sichuan 641000, China) |
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| Abstract: | Using the weakly c-normality of minimal subgroup of to characterize the structure of a finite group, some suffi- cient conditions of finite supersolvable group are obtained. According to the theory of formations , some sufficient conditions of saturated formation containing the class of all finite supersolvable groups are got, and some known theorems are generalized. |
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| Keywords: | weakly c-normal subgroup minimal subgroup saturated formation supersolvable formation supersolvable group |
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