| 弱s-条件置换子群与有限群的p-超可解性 |
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| 引用本文： | 蒋青芝,钟祥贵,张小芳,吴勇.弱s-条件置换子群与有限群的p-超可解性[J].广西民族学院学报(自然科学版),2013(4):44-47. |
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| 作者姓名： | 蒋青芝 钟祥贵 张小芳 吴勇 |
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| 作者单位： | 广西师范大学数学科学学院,广西桂林541004 |
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| 基金项目： | 国家自然科学基金（11261007,11326055）;广西科学基金（2013BA019003）;广西研究生教育创新基金（YCSZ2012051）. |
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| 摘 要： | 称群G的一个子群H在G中弱s-条件置换的,如果存在G的一个正规子群B使得G=HB,且对B的任意Sylow子群T,存在b∈B使得HTb=TbH.笔者利用弱,条件置换子群研究有限群的p-超可解性,推广了相关文献的一些结果.
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| 关 键 词： | 有限群 弱s-条件置换子群 p-超可解 |
Weakly s-Conditionally Permutable Subgroups and p-Supersolvability of Finite Groups |
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| JIANG Qing-zhi,ZHONG Xiang-gui,ZHANG Xiao-fang,WU Yong.Weakly s-Conditionally Permutable Subgroups and p-Supersolvability of Finite Groups[J].Journal of Guangxi University For Nationalities(Natural Science Edition),2013(4):44-47. |
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| Authors: | JIANG Qing-zhi ZHONG Xiang-gui ZHANG Xiao-fang WU Yong |
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| Institution: | (College of Mathematical Science, Guangxi Normal University, Guilin 541004, China) |
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| Abstract: | A subgroup B of a finite group G is called weakly s-conditionally permutable subgroup of G if there exists a normal subgroup B of G such that G= FIB and for every Sylow subgroup T of B , there exists an element b ∈ B such that HTb = TbH . The influence of weakly s -conditionally permutable subgroup on p -su- persolvability of finite groups. The results obtained generalized some known works in the literatures. |
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| Keywords: | finite group weakly s -conditionally permutable subgroup p- supersolvable |
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