| 关于半直积同构的讨论 |
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| 引用本文： | 侯谦民. 关于半直积同构的讨论[J]. 数学的实践与认识, 2006, 36(10): 251-253 |
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| 作者姓名： | 侯谦民 |
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| 作者单位： | 湖北经济管理大学公共课部,湖北,武汉,430074 |
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| 摘 要： | 这篇文章从半直积的定义出发,给出了当群H或当从群H到N的自同构群Aut(N)的两个同态φ,ψ满足一定条件时半直积N∝φH与N∝ψH同构的两个定理,而其中一个定理是一个已知结果的推广.
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| 关 键 词： | 单同态 群同构 半直积 |
| 修稿时间： | 2006-03-23 |
Discussion on the Isomorphism of the Semidirect Product |
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| HOU Qian-min. Discussion on the Isomorphism of the Semidirect Product[J]. Mathematics in Practice and Theory, 2006, 36(10): 251-253 |
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| Authors: | HOU Qian-min |
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| Abstract: | We give two theorems about the isomorphism between the semidirect product of N by H corresponding to φ and that of N by H corresponding to ψ,which the group H or two homorphism φ,ψ from the group H to the Aut(N) satisfies some condition.One of the theorem extend a well-known result. |
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| Keywords: | monomorphism isomorphismof group semidirect product |
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