| 无限群p拟Frattini子群 |
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| 引用本文： | 徐威,张志让.无限群p拟Frattini子群[J].成都信息工程学院学报,2010,25(2):213-217. |
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| 作者姓名： | 徐威 张志让 |
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| 作者单位： | 成都信息工程学院数学学院,四川,成都,610225 |
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| 摘 要： | 群G中所有极大子群之交称之为G的Frattini子群。给出一种新的广义的Frattini子群——p拟Fratti—ni子群的定义，并研究基本性质，例如p拟既约性质、p拟可消性质和p拟补充性质等。同时对正规子群，同态像和直积的p拟Frattini子群也进行了研究。
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| 关 键 词： | 基础数学 无限群论 p拟非生成元 p拟极大子群 p拟Frattlni子群 pF群 |
The _pNear Frattini Subgroups of Infinite Groups |
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| XU Wei,ZHANG Zhi-rang.The _pNear Frattini Subgroups of Infinite Groups[J].Journal of Chengdu University of Information Technology,2010,25(2):213-217. |
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| Authors: | XU Wei ZHANG Zhi-rang |
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| Institution: | XU Wei,ZHANG Zhi-rang (School of Mathematics,CUIT,Chengdu 610225,China) |
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| Abstract: | The Frattini subgroup Frat(G) of a group is defined as the intersection of the maximal subgroups by G.The object of this paper is to introduce a new canonical subgroup,thepnear Frattini subgroups.Its definition is given and its properties are investigated,such as thepnear irreducibility, thepnear eliminability and thepnear supplementation property.At the same time,thepnear Frattini subgroups of normal subgroups,homomorphism images and direct products of groups are also considered. |
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| Keywords: | Pure mathematics the theory of infinite groups non-pnear generators of groups pnearly maximal subgroups of groups thepnear Frattini subgroups of groups pFgroups |
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