| 超可解群的两个充分条件 |
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| 引用本文： | 陶司兴,刘秋香.超可解群的两个充分条件[J].山东科学,2008,21(2):46-49. |
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| 作者姓名： | 陶司兴 刘秋香 |
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| 作者单位： | 1. 商丘师范学院数学系,河南商丘,476000
2. 曲阜师范学校,山东曲阜,273165 |
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| 摘 要： | 设G是一个可解群，如果F（G）的每一个Sylow子群的极大子群均在G中条件置换，则G为超可解群；设G是一个可解群，H是G的一个正规子群，使得G／H为超可解群，如果F（H）的每一个Sylow子群的极大子群均在G中完全条件置换，则G为超可解群．
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| 关 键 词： | 条件置换 完全条件置换 有限群 超可解群 |
Two Sufficient Conditions of a Super-solvable Group |
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| TAO Si-xing,Liu Qiu-xiang.Two Sufficient Conditions of a Super-solvable Group[J].Shandong Science,2008,21(2):46-49. |
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| Authors: | TAO Si-xing Liu Qiu-xiang |
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| Institution: | TAO Si-xing, Liu Qiu-xiang ( 1. Department of Mathematics, Shangqiu Normal University, Shangqiu 476000, China ; 2. Qufu Normal School, Qufu 273165, China) |
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| Abstract: | Let G be a solvable group, and it is super-solvable if every maximal subgroup of a Sylow subgroup of F（G） is conditional permutable in G. Let G be a solvable group, H be a normal subgroup of G,and G/H be super-solvable,and：G is super-solvable if every maximal subgroup of a Sylow subgroup of F （H） is completely conditionally permutable in G. |
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| Keywords: | conditional permution completely conditional permution fmite groups super solvable groups |
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