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关于极大子群的指数复合 被引量:2

ON THE INDEX COMPLEX OF A MAXIMAL SUBGROUP
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摘要 利用Deskins在1959年所定义的有限群的极大子群的指数复合,给出了有限群为π_可解、可解、超可解、幂零的若干充要条件. In this paper, We obtain several sufficient and necessary conditions on finite groups to be π_solvable, solvable, supersolvable and nilpotent by means of the index complex of a maximal subgroup introduced by Deskins in 1959. 
出处 《曲阜师范大学学报(自然科学版)》 CAS 1998年第3期5-8,共4页 Journal of Qufu Normal University(Natural Science)
基金 国家及省自然科学基金
关键词 完备 指数复合 有限群 极大子群 Completion index complex
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同被引文献14

  • 1王品超,杨兆兴.有限群的极大子群的正规指数[J].工程数学学报,1994,11(1):42-48. 被引量:17
  • 2赵耀庆,廖洪西.极大子群的指数复合与有限群的可解性[J].广西大学学报(自然科学版),1995,20(3):288-290. 被引量:2
  • 3[1]W E Deskins. On maximal subgroup[J].Proceeding of Sympasis in Pure Math. Amer Math Soc 1959, 100~104
  • 4[2]Li shirong & Zhao yaoqing.The Deskins index complex and the solvability of finite groups [J].Southeast Asian Bulletin of Mathematics, 1998,22:291~299
  • 5[3]Li shirong.The Deskins index complex and the supersolvability of finite groups [J].Journal of Pure and Applied Algebra, 1999, 144:297~302
  • 6[4]Zhao yaoqing.On the index complex of a maximal subgroup and the supersolvability of a finite group[J].Comu. Algebra 1996,24:1785~1791
  • 7[7]W E Deskins. On the index complex of a maximal subgroup[M].Arch Math 1990, 54: 236~240
  • 8[9]Yanming Wang.C-normality of groups and its properties[J].Journal of Alegrba, 1996, 180: 954~965
  • 9W E Deskins. On maximal subgroup[J].Proceeding of Sympasis in Pure Math. Amer Math Soc 1959, 100-104
  • 10Li shirong & Zhao yaoqing.The Deskins index complex and the solvability of finite groups [J].Southeast Asian Bulletin of Mathematics, 1998,22:291-299

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