| 弱s-置换性传递的有限群 |
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| 引用本文： | 郭鹏飞,郭秀云.弱s-置换性传递的有限群[J].纯粹数学与应用数学,2009,25(4):649-653. |
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| 作者姓名： | 郭鹏飞 郭秀云 |
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| 作者单位： | 1. 上海大学数学系,上海,200444;连云港师范高等专科学校数学系,江苏,连云港,222006
2. 上海大学数学系,上海,200444 |
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| 基金项目： | 国家自然科学基金，SGRC，江苏省高校"青蓝工程"资助项目 |
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| 摘 要： | 群G被称为弱s-置换性传递的群,对于它的子群H和K,若H在K中弱s-置换,K在G中弱s-置换,则H在G中弱s-置换.本文给出弱s-置换性、弱s-补性传递的可解群的结构以及每一子群在G中弱s-置换、弱s-补的群的结构.
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| 关 键 词： | 弱s-置换子群 弱s-补子群 传递性 超可解 |
Finite groups in which having weakly s-permutable transitivity property |
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| GUO Peng-fei,GUO Xiu-yun.Finite groups in which having weakly s-permutable transitivity property[J].Pure and Applied Mathematics,2009,25(4):649-653. |
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| Authors: | GUO Peng-fei GUO Xiu-yun |
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| Institution: | GUO Peng-fei 1,2,GUO Xiu-yun 1 (1.Department of Mathematics,Shanghai University,Shanghai 200444,China,2.Department of Mathematics,Lianyungang Teachers College,Lianyungang 222006,China) |
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| Abstract: | A finite group G is called having weakly s-permutable transitivity property if,for subgroups H and K with H weakly s-permutable in K and K weakly s-permutable in G,it is always the case that H weakly s-permutable in G.In this paper,the structure of finite solvable groups whose subgroups having transitivity property on weakly s-permutable subgroups,weakly s-supplemented subgroups,respectively are further studied.Finally,the structure of a finite group G whose subgroups having weakly s-permutable property,wea... |
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| Keywords: | weakly s-permutable subgroups weakly s-supplemented subgroups transitivity property supersolvable |
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