| 子群的F_s拟正规性对Sylow塔群结构的影响 |
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| 引用本文： | 王辉,胡滨.子群的F_s拟正规性对Sylow塔群结构的影响[J].徐州师范大学学报(自然科学版),2014(1):26-29. |
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| 作者姓名： | 王辉 胡滨 |
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| 作者单位： | 江苏师范大学数学与统计学院,江苏徐州221116 |
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| 基金项目： | 国家自然科学基金资助项目（11071229）,江苏省高校自然科学基金资助项目（10KJD110004） |
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| 摘 要： | 设F是一个群类.群G的子群H称为在G中Fs拟正规,如果G有一个正规子群T,使得HT在G中s置换且(H∩T)HG/HG≤ZF∞(G/HG).利用Fs拟正规子群,得到了关于Sylow塔群的一些新的判别准则.
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| 关 键 词： | 有限群 Fs拟正规子群 Sylow塔群 Sylow子群 |
Influence of fs-quasinormal subgroups on the structure of Sylow tower groups |
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| Wang Hui,Hu Bin.Influence of fs-quasinormal subgroups on the structure of Sylow tower groups[J].Journal of Xuzhou Normal University(Natural Science Edition),2014(1):26-29. |
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| Authors: | Wang Hui Hu Bin |
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| Institution: | (School of Mathematics Statitics,Jiangsu Normal University,Xuzhou 221116,Jiangsu,China) |
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| Abstract: | Let G be a finite group and fa class of groups.A subgroup H of G is said to be fs-quasinormal in G if there exists a normal subgroup T of G such that HT is s-permutable in G and （H∩T）HG/HG is contained in the f-hypercenter Zf∞（G/HG）of G/HG.By using the concept of fs-quasinormal subgroups,some new criteria of Sylow tower groups are obtained. |
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| Keywords: | finite group fs-quasinormal subgroup Sylow tower group Sylow subgroup |
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