| 准素子群的几乎s正规性对超中心的影响 |
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| 引用本文： | 张佳,王克瑜,郭继东.准素子群的几乎s正规性对超中心的影响[J].徐州师范大学学报(自然科学版),2014(1):30-32. |
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| 作者姓名： | 张佳 王克瑜 郭继东 |
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| 作者单位： | 伊犁师范学院数学与统计学院,新疆伊宁835000 |
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| 基金项目： | 国家自然科学基金资助项目（11271016）,新疆维吾尔自治区普通高校重点学科经费资助项目（2012ZDXK06）,伊犁师范学院2013年度研究生科研创新项目（2013YSY022） |
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| 摘 要： | 设H是有限群G的子群,若存在G的正规子群K,使得HK G,且H∩K≤HsG,HsG是G的包含于H的最大s拟正规子群,则称H在G中几乎s正规.本文利用某些准素子群的几乎s正规性来研究有限群的FΦ超中心的构造.
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| 关 键 词： | FΦ超中心 几乎s正规子群 Sylow子群 饱和群系 |
Influence of nearly s-normality of primary subgroups on hypercentre of finite groups |
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| Zhang Jia,Wang Keyu,Guo Jidong.Influence of nearly s-normality of primary subgroups on hypercentre of finite groups[J].Journal of Xuzhou Normal University(Natural Science Edition),2014(1):30-32. |
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| Authors: | Zhang Jia Wang Keyu Guo Jidong |
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| Institution: | (School of Mathematics Statistics,Yili Normal University,Yining 835000,Xinjiang,China) |
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| Abstract: | Let H be a subgroup of a finite group G.A group H is called nearly s-normal in G if there exists a normal subgroup K of G such that HK G and H∩K≤HsG ,where HsG is the largest s-normal subgroup of G contained in H.In this paper,the structure of FΦ-hypercentre of finite groups with nearly s-normality is studied. |
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| Keywords: | FΦ-hypercentre nearly s-normal subgroup Sylow subgroup saturated formation |
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