| 共轭子群的几个性质 |
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| 引用本文： | 童艳春,魏含玉. 共轭子群的几个性质[J]. 洛阳师范学院学报, 2012, 0(11): 17-18 |
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| 作者姓名： | 童艳春 魏含玉 |
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| 作者单位： | 周口师范学院数学系 |
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| 基金项目： | 周口师范学院青年教师科研基金项目(2012QNB09) |
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| 摘 要： | 由于有限群子群的乘积不一定是子群,如何判断子群的乘积为子群是一个重要的问题.本文主要证明有限群的所有共轭子群的乘积是子群,并且给出了共轭子群的几个性质.
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| 关 键 词： | 有限群 共轭子群 不变子群 |
All Conjugate Subgroups of the Finite Group is a Subgroup |
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| TONG Yan-cuhn,WEI Han-yu. All Conjugate Subgroups of the Finite Group is a Subgroup[J]. Journal of Luoyang Teachers College, 2012, 0(11): 17-18 |
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| Authors: | TONG Yan-cuhn WEI Han-yu |
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| Affiliation: | (Department of Mathematics,Zhoukou Normal University,Zhoukou 466001,China) |
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| Abstract: | Because of the multiplicative subgroup of a finite group is not a group,how to determine the product of its subgroup for subgroup is an important problem.This paper proves that the product of all conjugate subgroups of a finite group is a subgroup.In particular,we give some propositions about the conjugate subgroups. |
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| Keywords: | finite group conjugate subgroup invariant subgroup |
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