| 乘积因子群的共轭类长与有限群结构 |
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| 引用本文： | 石向东,韦华全,马儇龙.乘积因子群的共轭类长与有限群结构[J].郑州大学学报(自然科学版),2013(2):10-13. |
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| 作者姓名： | 石向东 韦华全 马儇龙 |
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| 作者单位： | [1]梧州学院数理系,广西梧州543002 [2]广西大学数学与信息科学学院,广西南宁530004 [3]广西师范学院数学科学学院,广西南宁530023 |
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| 基金项目： | 国家自然科学基金资助项目,编号10961007,11161006;广西省自然科学基金资助项目,编号0991101,0991102. |
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| 摘 要： | 设G是有限群，A和B都是其子群．若G=AB，则称G为乘积因子群．研究乘积因子群中某些元素的共轭类长对有限群的可解性、超可解性和p-幂零性的影响，所得结果推广了若干相关的新近结果．
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| 关 键 词： | 有限群 共轭类长 可解 超可解 p-幂零 |
Lengths of Conjugacy Classes of Factorized Groups and Structures of Finite Groups |
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| SHI Xiang-dong,WEI Hua-quan,＇,MA Xuan-long.Lengths of Conjugacy Classes of Factorized Groups and Structures of Finite Groups[J].Journal of Zhengzhou University (Natural Science),2013(2):10-13. |
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| Authors: | SHI Xiang-dong WEI Hua-quan ＇ MA Xuan-long |
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| Institution: | 3 ( 1. Department of Mathematics and Physics, Wuzhou College, Wuzhou 543002, China ; 2. College of Mathematics and Information Science, Guangxi University, Nanning 530004, China; School of Mathematical Sciences, Guangxi Teacher＇ s Education University, Nanning 530023, China) |
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| Abstract: | Let G be a finite group, and A, B be its subgroups. If G = AB, then G was called a factorized group. The influences of lengths of eonjugacy classes of some elements in factorized groups on the solvability, supersolvability and p-nilpotency of finite groups were studied. Some recent related results were generalized. |
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| Keywords: | finite group length of conjugacy class solvability supersolvability p-nilpoteney |
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