| 半正规、共轭置换与有限群的超可解性 |
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| 引用本文： | 赵先鹤,汪艳丽. 半正规、共轭置换与有限群的超可解性[J]. 河南师范大学学报(自然科学版), 2015, 0(2): 1-6 |
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| 作者姓名： | 赵先鹤 汪艳丽 |
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| 作者单位： | 河南师范大学数学与信息科学学院 |
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| 基金项目： | 国家自然科学基金(10771172;11271301;U1204101);河南省教育厅重点项目(13B110085);校青年骨干教育培养计划(01016500608) |
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| 摘 要： | 研究了有限群的超可解性问题,结合共轭置换子群与半正规子群的概念,在群G的极大子群(2-极大子群)或共轭置换或半正规的条件下给出了群G超可解的若干充分条件.
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| 关 键 词： | 共轭置换子群 超可解群 半正规子群 |
Semi-normal,Conjugate-permutable and Supersolvability of Finite Groups |
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| ZHAO Xianhe;WANG Yanli. Semi-normal,Conjugate-permutable and Supersolvability of Finite Groups[J]. Journal of Henan Normal University(Natural Science), 2015, 0(2): 1-6 |
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| Authors: | ZHAO Xianhe WANG Yanli |
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| Affiliation: | ZHAO Xianhe;WANG Yanli;College of Mathematics and Information Science,Henan Normal University; |
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| Abstract: | This paper investigates the supersolvability of the finite group G.Combine the concepts of semi-normal subgroups and conjugate-permutable subgroups,we get some sufficient conditions for supersolvability of the group G,which is based on that the maximalsubgroups(2-maximal subgroups)of a group Gare either conjugate-permutable or semi-normal. |
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| Keywords: | conjugate-permutable subgroups supersolvable groups semi-normal subgroups |
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