| 同阶子群个数的集合为{1,p+1}的有限群的完全分类 |
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| 引用本文： | 陈彦恒,贾松芳.同阶子群个数的集合为{1,p+1}的有限群的完全分类[J].西南师范大学学报(自然科学版),2010,35(3). |
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| 作者姓名： | 陈彦恒 贾松芳 |
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| 作者单位： | 重庆三峡学院,数学与计算机科学学院,重庆,万州,404000 |
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| 基金项目： | 重庆市教委科研资助项目 |
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| 摘 要： | 应用有限群论的有关知识定出了同阶子群个数的集合为{1,p+1}的有限群的完全分类.
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| 关 键 词： | p-群 同阶子群个数 计数定理 Sylow定理 完全分类 |
The Complete Classification of the Finite Groups with the Set of the Number of the Same Order Subgroups= {1,p+1} |
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| CHEN Yan-heng,JIA Song-fang.The Complete Classification of the Finite Groups with the Set of the Number of the Same Order Subgroups= {1,p+1}[J].Journal of Southwest China Normal University(Natural Science),2010,35(3). |
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| Authors: | CHEN Yan-heng JIA Song-fang |
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| Institution: | CHEN Yan-heng,JIA Song-fang School of Mathematics and Computers,Chongqing Three Gorges University,Wanzou Chongqing 404000,China |
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| Abstract: | This article uses the theory of the finite group,giving out the complete classification of the finite groups with the set of the number of the same order subgroups={1,p+1}. |
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| Keywords: | p-group number of the same order subgroups computation theorem Slyow theorem complete classification |
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