| 关于完全C~*置换子群 |
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| 引用本文： | 李世荣,卢家宽,刘伟,孟伟.关于完全C~*置换子群[J].大学数学,2009,25(1). |
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| 作者姓名： | 李世荣 卢家宽 刘伟 孟伟 |
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| 作者单位： | 广西大学,数学与信息科学学院,广西,南宁,530004 |
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| 摘 要： | 设H≤G,称H为G的完全C*置换子群,如果对G的任意素数幂阶子群K,恒有x∈〈H,K〉,使得HKx=KxH.本文利用素数幂阶子群的完全C*置换性给出了一个群属于给定群系的的若干充要条件.
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| 关 键 词： | 完全C*置换子群 饱和群系 p-幂零群 超可解群 |
On Completely C~*-Permutable Subgroups of Finite Groups |
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| LI Shi-rong,LU Jia-kuan,LIU Wei,MENG Wei.On Completely C~*-Permutable Subgroups of Finite Groups[J].College Mathematics,2009,25(1). |
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| Authors: | LI Shi-rong LU Jia-kuan LIU Wei MENG Wei |
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| Institution: | Department of Math. & info.Sci.;Guangxi University;Nanning 530004;China |
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| Abstract: | A subgroup H of G is called completely C*-permutable in G provided for every subgroup K of prime power order of G there exits an element x∈〈H,K〉 such that HKx=KxH. In this paper, by using the completely C*-permutability of subgroups of prime power order. Some sufficient and necessary conditions which inply a finite group to belong to a given formation will be obtained. |
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| Keywords: | completely C*-permutable subgroup saturated formation p-nilpotent group supersolvable group |
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