| 具有几乎c-置换子群的有限群 |
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| 引用本文： | 乔守红,郭大昌. 具有几乎c-置换子群的有限群[J]. 广东工业大学学报, 2011, 28(1): 54-57 |
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| 作者姓名： | 乔守红 郭大昌 |
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| 作者单位： | 广东工业大学,应用数学学院,广东,广州,510006 |
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| 基金项目： | 广东工业大学校博士启动项目 |
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| 摘 要： | 令G为有限群,H≤G.若存在G的次正规子群T使得G=HT且HT在中完全.c-置换,则H在G中被称为是几乎c-置换的.本文研究素数幂阶子群的几乎c-置换性对有限群结构的影响,得到一些有趣的结果.
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| 关 键 词： | 有限群 弱c-置换 几乎c-置换 群系 超可解群 |
Finite Groups with Some Almost c-Permutable Subgroups |
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| Qiao Shou-hong,Guo Da-chang. Finite Groups with Some Almost c-Permutable Subgroups[J]. Journal of Guangdong University of Technology, 2011, 28(1): 54-57 |
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| Authors: | Qiao Shou-hong Guo Da-chang |
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| Affiliation: | Qiao Shou-hong,Guo Da-chang(Faculty of Applied Mathematics,Guangdong University of Technology,Guangzhou 510006,China) |
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| Abstract: | Let G be a finite group,and H≤G.H is called almost c-permutable in G if there is a subnormal subgroup T of G such that G=HT and H∩T is completely c-permutable in G.The influence of almost c-permutability of prime-power order subgroups on the structure of G is investigated,and some interesting results are obtained. |
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| Keywords: | finite groups weakly c-permutable almost c-permutable saturated formation supersolvable groups |
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