| 有限群的子群弱补 |
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| 引用本文： | 苏跃斌.有限群的子群弱补[J].四川理工学院学报(自然科学版),2009,22(1). |
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| 作者姓名： | 苏跃斌 |
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| 作者单位： | 四川理工学院理学院,四川,自贡,643000 |
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| 摘 要： | 利用有限群的某些子群弱补性给出了一个群是F热-群的一个充分条件。设F=LF(f)是一个子群闭的局部群系,满足每个极小非F-群是可解的,N G,G/N∈F若N的每个p阶子群含于Zf∞(G),且4阶循环群在G中弱补,则G∈F。
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| 关 键 词： | 弱补子群 F-群 局部群系 可解群 |
Weakly-complemented Subgroups of Finite Groups |
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| SU Yue-bin.Weakly-complemented Subgroups of Finite Groups[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2009,22(1). |
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| Authors: | SU Yue-bin |
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| Institution: | School of Science;Sichuan University of Science & Engineering;Zigong 643000;China |
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| Abstract: | A sufficient condition of F-group is given by using weakly-complemented of some subgroups for a finite group.Let F=LF(f) be a subgroup-closed local formation such that minial non-F-groupa is solvable.It is proved that: if there exists a normal subgroups N of G such that G/N∈Fand every cyclic subgroups of N of order 4 is weakly-complemented in G and every element of N of prime order is contained in Zf∞(G),then G is a Fgroup. |
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| Keywords: | weakly-complemented subgroups F-group solvable subgroup local formation |
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