| Frattini子群的一些推广 |
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| 引用本文： | 王英. Frattini子群的一些推广[J]. 四川理工学院学报(自然科学版), 2008, 21(3) |
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| 作者姓名： | 王英 |
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| 作者单位： | 四川理工学院数学系,四川,自贡643000 |
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| 基金项目： | 四川理工学院人才引进科研启动基金 |
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| 摘 要： | 对任意群G,G的Frattini子群Frat (G)是指G的所有极大子群的交。文章研究另一类特征子群,(?)Frat(G)即群G的所有的具有有限指数的极大正规子群的交,并得到与Frat(G)类似的相关性质。
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| 关 键 词： | Frat(G)子群 fnFrat(G)子群 fn-非生成元 |
Some Generalized Frattini Subgroup |
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| WANG Ying. Some Generalized Frattini Subgroup[J]. Journal of Sichuan University of Science & Engineering(Natural Science Editton), 2008, 21(3) |
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| Authors: | WANG Ying |
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| Abstract: | For any group G, the Frattini subgroup Frat (G) is the intersection of the maximal subgroups of G. In this paper we investigate the characteristic subgroups,_(fn)Frat (G) , which is defined as the intersection of the maximal normal subgroups with finite index in G. The properties of _(fn)Frat (G) are studied and results analogous to those of the Frattini subgroup are established. |
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| Keywords: | Frat(G)subgroup _(fn)Frat(G) subgroup fn-nongenerators |
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