| C-正规子群的若干等价条件 |
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| 引用本文： | 薛瑞,陈旭生. C-正规子群的若干等价条件[J]. 商丘职业技术学院学报, 2009, 8(5): 8-9 |
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| 作者姓名： | 薛瑞 陈旭生 |
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| 作者单位： | 信阳师范学院,计算机与信息技术学院,河南,信阳,464000 |
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| 基金项目： | 河南省科技计划基金项日,信阳师范学院青年骨干教师计划基金项目 |
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| 摘 要： | c-正规子群和弱c-正规子群是有限群的两个重要的概念,这两个概念又有一些相似之处.通过c-正规子群与弱c-正规子群对有限群结构的影响,得出c-正规子群与弱c-正规子群等价的一些充分条件.
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| 关 键 词： | c-正规子群 弱c-正规子群 可解 有限群 |
Some Equivalent Conditions for C-Normal Subgroups |
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| XUE Rui,CHEN Xu-sheng. Some Equivalent Conditions for C-Normal Subgroups[J]. Journal of Shangqiu Vocational and Technical College Journal of Shangqiu Vocational and Technical College Journal of Shangqiu Vocational and Technical College, 2009, 8(5): 8-9 |
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| Authors: | XUE Rui CHEN Xu-sheng |
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| Affiliation: | XUE Rui,CHEN Xu-sheng(College of Computer and Information Technology,Xinyang Normal University,Xinyang 464000,China) |
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| Abstract: | A group H of G is called c-normal in G if there exists a normal subgroup K of G such that G=HK and H∩KHG,where HG=∩g∈GHg is the maximal normal subgroup of G which is contained in H.A subgroup H of G is called weakly c-normal in G if there exists a subnormal subgroup K of G such that G=HK and H∩KHG.Some equivalent conditions between c-normality and weakly c-normality were given. |
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| Keywords: | c-normal subgroups weakly c-normal subgroups solvability finites groups |
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