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Frattini子群的一些推广 被引量:2

Some Generalized Frattini Subgroup
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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。 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, l, Frat (G) , which is defined as the intersection of the maximal normal subgroups with finite index in G. The properties of fnFrat subgroup are established. (G) are studied and results analogous to those of the Frattini
作者 王英
出处 《四川理工学院学报(自然科学版)》 CAS 2008年第3期20-21,24,共3页 Journal of Sichuan University of Science & Engineering(Natural Science Edition)
基金 四川理工学院人才引进科研启动基金(07Zr43)
关键词 Frat(G)子群 fnFrat(G)子群 fn-非生成元 Frat (G) subgroup fnFrat (G) subgroup fn-nongenerators
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参考文献6

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同被引文献11

  • 1Robinson D J S.A course in the theory of groups[M]. 2nd ed.New York:Springer-Verlag,1996.
  • 2Tomkinson M J.FC-groups[M].London:Pitman,1984.
  • 3Zhang Z R, Wang Y.The Intersection of maximal subgroups with Index a ∏-number[J].Journal of Sichuan Normal University:Natural Science,2007,30(6):688-690.
  • 4Azarian M K.On Lower Near Frattini Subgroups and Nearly Splitting Groups[J].Missouri J.Math.Sci.,1990,2:18-25.
  • 5Tang C Y.On the Frattini Subgroups of Generalized Free Products with Cyclic Amalgamations[J].Canad.Math.Bull.,1972,15:569-573.
  • 6Riles J B.The Near Frattini Subgroups of Infinite Groups[J].Journal of Algebra,1969,12:155-171.
  • 7Muthuvel K.A Note on Lower near Frattini Subgroups[J].Missouri J.Math.Sci.,1992,4:11-13.
  • 8Zhang Z R.The Intersection of maximal subgroups with finite index[J].SEA Bull.Math.,2006,30:1-6.
  • 9郭钦,张志让,王英,杨义先.群的融合自由积的几种广义Fratttini子群[J].数学年刊(A辑),2008,29(1):67-70. 被引量:7
  • 10王伟.一类周期FC-群中的两种广义Frattini性质[J].成都信息工程学院学报,2008,23(1):101-103. 被引量:3

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