期刊文献+

群的R-根(英文)

Radical radical of an arbitrary group
下载PDF
导出
摘要 建立了任意群的R-根的存在性并且指出它就是某种类型素正规子群的交;利用群的R-根给出了一些群类的结构性定理。 The existence of the radical radical in an arbitrary group is established and is identified with an intersection of the prime normal subgroups in groups of certain types. As a consequence several structure theorems for them are obtained.
出处 《成都信息工程学院学报》 2009年第3期301-304,共4页 Journal of Chengdu University of Information Technology
基金 Supported by the National Natural Science Foundation of China(10171118)
关键词 群的R-根 素正规子群 群的R-半单 radical radical of group prime normal subgroup radical-semisimple group
  • 相关文献

参考文献10

  • 1Schenkman, E.. The similarity between the properties of ideals in commutative rings and the properties of normal subgroups of groups[J]. Proc. Amer. Math. Soc., 1959, (9) :375 - 381.
  • 2Zhang, Z.R.. A structure theorem of solvable-semisimple[J ]. Southwest China Teachers Univ. (N. S. E), 1985,11(2) :94 - 99.
  • 3Zhang, Z.R.. D-subgroups and hypoabelian groups[J ]. Chengdu Inst. Metorology, 1988, (2) : 84 - 88.
  • 4Zhang, Z.R.. On equivalence relations among some kinds of generalized nilpotences in X-groups[J]. tSouth- west China Teachers Univ. (N. S. E), 1988,14(3):14- 20.
  • 5Zhang, Z.R.. A structure theorem of FC-groups[ J ]. Acta Mathematica Sinica, 1991,34 (3) : 324 - 328.
  • 6Zhang, Z.R., The locally solvable radical of locally finite groups[J ]' SEA Bull. Math. , 1998,22:325- 329.
  • 7Zhang, Z.R. ,Yang, W.Z. , The locally solvable radical of torsion groups[J]. Comm. Algebra, 2000,28(8): 3987 - 3991.
  • 8Robinson, D.J.S. , Finiteness Conditions and Generalized Soluble Groups[ M]. Berlin: Springer-Verlag, 1972: 68.
  • 9Robinson, D.J.S. , A Course in the Theorey of Groups[M]. New York: Springer-Verlag, 1996:449.
  • 10Robinson, D.J.S. , Finiteness Conditions and Generalized Soluble Groups[ M]. Berlin: Springer-Verlag, 1972 : 78.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部