| 关于弱s-半置换可补子群 |
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| 引用本文： | 李长稳,易小兰.关于弱s-半置换可补子群[J].广西民族学院学报(自然科学版),2012(1):68-71. |
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| 作者姓名： | 李长稳 易小兰 |
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| 作者单位： | [1]江苏师范大学数学科学学院,江苏徐州221116 [2]浙江理工大学理学院,浙江杭州310018 |
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| 基金项目： | 国家自然科学基金资助项目（11101369）; 江苏高校自然科学资金项目（10KJD110004） |
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| 摘 要： | 称群G的一个子群H在G中弱s-半置换可补的,如果存在G的一个子群T,使得G=HT且H∩T≤HssG,其中HssG是包含在H中的G的最大的s-半置换子群.利用弱s-半置换可补子群研究有限群的结构,推广了前人的一些结果.
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| 关 键 词： | 弱s-半置换可补 s-置换 超可解 |
On Weakly s-semipermutably Supplemented Subgroups |
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| LI Chang-wen,YI Xiao-lan.On Weakly s-semipermutably Supplemented Subgroups[J].Journal of Guangxi University For Nationalities(Natural Science Edition),2012(1):68-71. |
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| Authors: | LI Chang-wen YI Xiao-lan |
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| Institution: | 1.School of Mathematical Science,Xuzhou Normal University,Xuzhou 221116,China; 2.School of Science,Zhejiang University of Technology,Hangzhou 310018,China) |
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| Abstract: | A subgroup H of a group G is said to be weakly s-semipermutably supplemented in G if there exists a subgroup T of G such that G=HT and H∩T ≤ HssG,Where HssG is the maximal s-semipermutable subgroup of G contained in H.By investigating the influence of s-semipermutably supplemented subgroups on the structures of finite groups,some recent results are generalized. |
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| Keywords: | weakly s-semipermutably supplemented s-semipermutabe supersolvable |
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