| 不变子群的判别条件 |
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| 引用本文： | 徐兰,苏贵福.不变子群的判别条件[J].高师理科学刊,2011,31(1):50-53. |
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| 作者姓名： | 徐兰 苏贵福 |
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| 作者单位： | 1. 昌吉学院,数学系,新疆,昌吉,831100
2. 北京理工大学,理学院,北京,100081 |
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| 摘 要： | 判断一个子群是否为不变子群,除了应用定义外,也可以应用其判别条件,对这些判别条件进行归纳,同时证明诸判别条件的等价性并给出一些应用.
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| 关 键 词： | 子群 不变子群 群同态 |
The decisions about normal subgroup of a group |
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| XU Lan,SU Gui-fu.The decisions about normal subgroup of a group[J].Journal of Science of Teachers＇College and University,2011,31(1):50-53. |
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| Authors: | XU Lan SU Gui-fu |
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| Institution: | XU Lan1,SU Gui-fu2(1.Department of Mathematics,Changji College,Changji 831100,China,2.School of Science,Beijing Institute of Technology,Beijing 100081,China) |
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| Abstract: | Normal subgroup is an important subgroup in group theory,which plays an essential role in this field.A subgroup can be determined to be a normal one or not by some sufficient conditions,except for the relevant definitions.Proved the equivalence of the conditions after summarized,some applications were given. |
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| Keywords: | subgroup normal subgroup homomorphism of group |
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