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Frattini子群的推广(英文) 被引量:2

SOME GENERALIZED FRATTINI SUBGROUP
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摘要 本文研究了任意群G的Frattini子群Frat(G)的两种推广形式fnFrat(G)和fcFrat(G),得到了这两类子群与Frat(G)类似的相关性质. In this article, two generalized forms fn Frat(G) and fc Frat(G) of the Frattini subgroup Frat(G) of any group G are introduced. The properties of fn Frat(G) and/cFrat(G) are studied and results analogous to those of the Frattini subgroup are established.
作者 王英 张志让
出处 《数学杂志》 CSCD 北大核心 2009年第5期609-612,共4页 Journal of Mathematics
基金 Supported by National Natural Science Foundation of China(10171118)
关键词 fFrattini子群 fnFrattini子群 fcFrattini子群 fn-非生成元 fc-非生成元 fFrattini subgroup fnFrattini subgroup fc Frattini subgroup fnnongenerators fc-nongenerators
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参考文献4

  • 1Kappe L C, Kirtland J. Some analogues of the Frattini subgroup[J]. Algebra Colloq., 1997, 4(4): 419-426.
  • 2Zhang Zhirang. The intersection of maximal subgroups with finite index[J]. SEA Bull.Math., 2006, 30(1): 1-6.
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同被引文献19

  • 1敬连顺.有限群的自正规极大子群的交[J].四川师范大学学报(自然科学版),2006,29(6):680-682. 被引量:1
  • 2徐明耀.有限群导引[M].北京:科学出版社,1999.
  • 3Zhang Z R. The imerseelion of maximal subgroups with finite index[ J ]. SEA Bull Math,2006,30:1003 - 1008.
  • 4Kappe L C, Kirtland J. Some analogues of the Frattini subgroup [ J]. Algebra Colloq, 1997,4 (4) :419 - 426.
  • 5Robinson D J S. A Course in the Theory of Groups[ M]. New York:Springer- Verlag,1996.
  • 6Tomkinson M J. FC - group[ M]. Boston:Pitman,1984.
  • 7Lennox J C, Robinson D J S. The Them; of Infinite Soluble Groups[ M ]. New York:Oxfoll Univ Press Ine ,2004.
  • 8Bray H G, Weinstein M. Between Nilpotent and Solvable[ M ]. Passaic:Polynal Publishing House, 1982.
  • 9张志让,王英.指数为π-数的极大子群的交(英文)[J].四川师范大学学报(自然科学版),2007,30(6):688-690. 被引量:6
  • 10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

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