| 子群阶的集合对单群的影响 |
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| 引用本文： | 陈云坤.子群阶的集合对单群的影响[J].安徽师范大学学报(自然科学版),2011,34(2):107-109,127. |
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| 作者姓名： | 陈云坤 |
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| 作者单位： | 贵州师范大学数学与计算机科学学院,贵州贵阳550001;苏州大学数学科学学院,江苏苏州215006 |
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| 基金项目： | 贵州省科技基金(黔基合J字LKS(2010)04) |
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| 摘 要： | 主要讨论子群的阶的集合对单群的影响,并用子群的阶的集合刻画部分单群,得出若两个单群的子群的阶的集合相等,则这两个单群同构.
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| 关 键 词： | 子群的阶 子群的指数 同构 |
The Influence of the Set of Orders of Subgroups on Simple Groups |
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| CHEN Yun-kun.The Influence of the Set of Orders of Subgroups on Simple Groups[J].Journal of Anhui Normal University(Natural Science Edition),2011,34(2):107-109,127. |
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| Authors: | CHEN Yun-kun |
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| Institution: | CHEN Yun-kun1,2(1.School of Mathematics and Computer Science,Guizhou Normal University,Guiyang 550001,China,2.School of Mathematics,Suzhou University,Suzhou 215006,China) |
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| Abstract: | The paper discussed the influence of the set of orders of subgroups on simple groups,and used the set of orders of subgroups to depict some simple groups.And the result is that the two simple groups are isomorphic if the sets of orders of subgroups of two simple groups are equal. |
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| Keywords: | the orders of subgroups the indxes of subgroups isomorphic |
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